CLAIMS I claim: 1. A sea ice habitat restoration platform 10 for extracting oncoming pack ice 208 having a drift speed v, drift direction 214, a thickness h, a characteristic length lc, and a flexural strength σf, and for depositing the extracted sea ice 216 on passing pack ice 210 to form through freeze-bonding 234 rafted pack ice 226228 and 230 providing an augmented habitat for ice-obligate and ice-associated semi-aquatic marine mammals, terrestrial mammals, seabirds, fish, micro-, meio- and macrofauna and flora on, within and around the pack ice, the sea ice habitat restoration platform 10 comprising: a marine platform 12 having a design waterline 200, a beam 14, a bow 18, a stern 20, a longitudinal centerline 22, a port side 24, a starboard side 26, a platform longitudinal axis, Ax, extending from the platform bow 18 to the platform stern 20, a platform transverse axis, Ay, orthogonal to the platform longitudinal axis, Ax, and a platform vertical axis, Az, orthogonal to the platform longitudinal axis, Ax, and the platform transverse axis, Ay; a symmetrical cantilevering double inclined-plane ice ramp 28 supported by the marine platform 12, the double inclined-plane ice ramp 28 having a port ice-ramp portion 30 and a starboard ice-ramp portion 32, the port ice-ramp portion 30 having a forward port ice- ramp portion 34 and an aft port ice-ramp portion 36, the starboard ice-ramp portion 32 having a forward starboard ice-ramp portion 38 and an aft starboard ice-ramp portion 40, the forward port ice-ramp portion 34 and the forward starboard ice-ramp portion 38 forming a forward ice-ramp portion 42, the aft port ice-ramp portion 36 and the aft starboard ice-ramp portion 40 forming a aft ice-ramp portion 44; a rafting wedge 54 supported by the marine platform 12, the rafting wedge 54 bisecting the aft ice-ramp portion 44 into the aft port ice-ramp portion 36 and the aft starboard ice-ramp portion 40, the aft port ice-ramp portion 36 extending from a rafting- wedge prow 56 aftwardly along the port side 24 of the marine platform 12 and cantilevered outboard from the port side 24 of the marine platform 12, the aft starboard ice-ramp portion 40 extending from the rafting-wedge prow 56 aftwardly along the starboard side 26 of the marine platform 12 and cantilevered outboard from the starboard side 26 of the marine platform 12, characterized in that: the forward ice-ramp portion 42 has a forward ice-ramp portion inlet 46 with a forward ice-ramp portion inlet half-width, R, based on Equation 6 using the stated properties of the oncoming pack ice, and has a forward ice-ramp portion shearing zone 48 aft of and contiguous with the forward ice-ramp portion inlet 46; the aft ice-ramp portion 44 has port and starboard aft ice-ramp portion outlet zones 50 aft of and contiguous with the forward ice-ramp portion shearing zone 48; the double inclined-plane ice ramp 28 has a vertex 62 extending from the forward ice-ramp portion inlet 46 to the rafting-wedge prow 56, the vertex 62 having a positive linear longitudinal vertex slope, α, the vertex applying a hogging moment, M, to the extracted sea ice exceeding the flexural strength, σf, of the extracted sea ice as the extracted sea ice longitudinally traverses the forward ice-ramp portion 42 at a ramp velocity about equal to the drift speed of the sea ice, v; a transverse slope, δ, of the port ice-ramp portion 30 and the starboard ice- ramp portion 32 progressively increases downwardly from the bow 18 toward the stern 20; and the rafting wedge 54 has a port rafting wedge wall 58 extending beyond the port side 24 of the marine platform 12 and a starboard rafting wedge wall 60 extending beyond the starboard side 24 of the marine platform 12, the port and starboard rafting wedge walls 58 and 60 have a rafting wedge wall width, W, which is based on Equation 5 relating a preferred offset distance D for depositing the rafted ice, and ramp inlet width R. 2. The sea ice habitat restoration platform 10 of claim 1, wherein the symmetrical cantilevering double inclined-plane ice ramp 28 is a ruled surface bounded by a lower bounding curve 64 and an upper bounding curve 66 and rulings of the ruled surface are oriented about 90° transverse to the platform longitudinal axis, Ax. 3. The sea ice habitat restoration platform 10 of claim 2, wherein: the lower bounding curve 64 is formed by the intersection of a horizontally oriented surface 68 and a vertically oriented surface 70, the horizontally oriented surface 68 extruded from a first curve 72 on the longitudinal axis, Ax, of the marine platform 12, the first curve 72 having a forward portion 74 inclined at a slope 76 of about 10° over a length of about 14.4 m, the forward portion 74 transitioning to an aft portion 80 inclined at a slope of about negative 2° having a length of about 6.8 m via an arc 78 having a radius of curvature of about 30 m and a cord of about 6.3 m, the vertically oriented surface 70 extruded from a second curve 82 in a horizontal plan, the second curve 82 having a forward portion 84, which is a portion of an ellipse with a major axis of about 10.83 m and a minor axis of about 5.50 m, with major axis parallel to portion 86, and which transitions tangentially at the co-vertex of the ellipse to a mid-portion 86 having a slope of about 30° over a length of about 15.72 m. The mid portion 86 transitions via a portion of an ellipse 88 having a major axis of about 6.21 m and a minor axis of about 4.24 m, with major axis parallel to portion 86 to an aft portion 90, which is a line segment having a slope of about 82° from the major axis of the portion of an ellipse and having a length of about 3.67 m. the upper bounding curve 66 is formed by an intersection of a frustrum 92 of a right circular cone with a sinusoidal surface 94 extruded from a sinusoidal curve, a top 96 of the frustrum 92 has a radius of about 25 m with a draft angle ^ 98 of about 21° and is centered about 25 m off the 104 platform longitudinal axis Ax and is offset aft of the marine platform bow 18 about 5.86 m, the sinusoidal surface 94 is extruded along the platform transverse axis Ay from a curve 100 having an aft portion 102 defined by a sine wave z = -7cos(2πx/62) joined at the base of the wedge prow 101 to a forward portion 104 defined by a line coincident with the vertex 62 and having a slope of about 21° tangentially joining the sine wave. 4. The sea ice habitat restoration platform of claim 1, wherein the positive linear longitudinal vertex slope α is about 21°, and the transverse slope δ of the port ice-ramp portion 30 and the starboard ice-ramp portion 32 progressively increase from about zero at the bow 18 to about negative 15° toward the stern 20. 5. The sea ice habitat restoration platform 10 of claim 1, wherein the forward ice-ramp portion inlet half-width R is determined by a mathematical relationship in Equation 6: ^/ଶ ^^ ൌ ^ ^ ఙ^ ଷ ఘ^ ^^ where R is inlet width (m); h is sea ice thickness (m); σf is sea ice flexural strength (Pa); ρi is sea ice density (kg/m3); and g is acceleration of gravity (m/s2). 6. The sea ice habitat restoration platform 10 of claim 5, wherein the rafting wedge wall width W is determined by a mathematical relationship in Equation 5: W ≅ D + R/2, where R is as defined in Equation 6 above, and the preferred offset distance D as determined by Equation 4 is the mean of the offset distance Dcr-vmax for a fully cracked condition and the offset distance Del-vmax for an uncracked, fully elastic condition such that: D = ^ ଶ ( Dcr-vmax + Del-vmax ). Dcr-vmax and Del-vmax are estimated with the following mathematical relationships in Equation 1 and Equation 3 respectively such that: Dcr-vmax ≅ ^ lc ½; and Del-vmax ≅ R/2+10 sinh3[ ^(60- lc )/120] cos2[ ^(60-lc)/120] where the level ice characteristic length determined with Equation 2 is: lc = [Eh3/12 ^g (1 - ^ 2)]1/4; and where: lc is characteristic length (m); h is mean design ice thickness (m); ^ is seawater density (kg/m3); g is acceleration of gravity (m/s2); E is the ice elastic modulus (Pa); ^ ^ ^is Poisson’s ratio, and R is inlet half-width (m) as defined in Equation 6. The rafted ice linear load may induce a crack via hogging moment in the level ice parallel to the channel edge, and assuming an idealized uniform thickness and strength in the level ice, the offset distance Dcr from channel edge to the crack centerline may be determined by the following empirical mathematical relationship in Equation 8: Dcr ≅ ^ lc3/4+ Del-vmax where: Dcr is the offset distance ^m^ from channel edge to the crack centerline; lc is characteristic length (m) defined in Equation 2; and Del-vmax is lower elastic boundary curve (m) defined in Equation 3. ^ ^ ^ The sea ice habitat restoration platform 10 of claim 1, wherein the rafting wedge 54 has a half angle, ε, about 25°, and a wedge prow 56, and port and starboard rafting wedge walls 58, 60 have a negative vertical slope ^, preferably less than 85° and greater than about 75° with respect to the adjacent ramp surface in order to produce a minimal portion of doubly rafted 228 and canted-rafted 230 ice configurations and a maximum of flat rafted 226 and freeze-bonded slabs, which favor bearing capacity and durability, especially for large semi-aquatic marine mammals; or alternatively with ^ preferably greater than 90° to produce a larger portion of doubly rafted 228 and canted-rafted 230 ice slab configurations for example in preparation for snow and ice lair habitat. The arclength of the wedge walls 58, 60 in both cases extend beyond the beam 14 of the marine platform 12 and have a radius of curvature corresponding to a portion of a right circular cone. 8. The sea ice habitat restoration platform 10 of claim 1, wherein the bow 18 of the marine platform 12 has a leading edge 134 beveled downwardly at about 45° at a bow centerline 52 below the design waterline 200 and has a general shape corresponding to a truncated frustrum of an ellipsoid configured to break sea ice having a pressure ridge. 9. The sea ice habitat restoration platform 10 of claim 1, wherein the marine platform 12 has a mooring assembly 118 situated between the working surfaces of the rafting wedge 54 , the mooring assembly 118 configured to receive and retain therein a pier 120 securing the marine platform 12 to the sea floor 351 and about which the marine platform 12 can weathervane 114 and heave 116 to accommodate changes in sea level, sea state including a design wave 206, and ice conditions. 10. The sea ice habitat restoration platform 10 of claim 1, wherein the marine platform 12 has an ice rudder 109, lateral and aft surfaces 110, 112, each of which is canted to direct impinging pack ice loads towards a horizontal plane about 0.4h below the design waterline 200 of the rudder 109. 11. A method 400 for restoring a sea ice habitat for ice-obligate and ice-associated species comprising the steps of: mooring 410 a sea ice habitat restoration platform in a marine ecosphere having oncoming drifting pack ice 208; extracting 412 a sea ice slab 216 from the drifting pack ice 208; hogging 414 the extracted sea ice slab 216 by applying a bending moment M to the extracted sea ice slab 216; depositing 416 the extracted sea ice slab 216 as rafted pack ice 226, 228, 230 on passing pack ice 210 having a free edge 220 forming a bounding edge of the channel 236, the rafted pack ice setback from the free edge 220 to form a terraced ice edge 229 facilitating semi-aquatic marine mammal haulout and access of the aforementioned species to and from the disturbance corridor 235. forming 413 a micro polynya channel 236, simultaneous to steps 412, 414 and 416, in the marine ecosphere aft of and below the habitat restoration platform; 12. A method 400 of restoring a sea ice habitat according to claim 1, wherein: the sea ice habitat restoration platform in the mooring step 410 is the sea ice habitat restoration platform 10 of claim 1, the extracting step 412 extracts the sea ice slabs 216 using the forward ice ramp portion 42, and the hogging step 414 cracks the extracted sea ice slab 216 under its own weight with the vertex 62 of the forward ice ramp portion 42 as the extracted sea ice slab 216 longitudinally traverses the forward ice-ramp portion 42 at a ramp velocity about equal to the drift speed, v, of the oncoming drifting sea ice 208. the depositing step 416 deposits the extracted sea ice slab 216 as rafted pack ice 226, 228, 230 on passing pack ice 210 having a free edge 220 forming a bounding edge of the channel 236, the rafted pack ice setback from the free edge 220 to form a terraced ice edge 229 facilitating semi-aquatic marine mammal haulout and access of the aforementioned species to and from the disturbance corridor 235. the forming step 413 creates an opening in the pack ice to form a micro polynya channel 236, simultaneous to steps 412, 414 and 416, in the marine ecosphere aft of the habitat restoration platform. |
AMENDED CLAIMS received by the International Bureau on 13 July 2023(13.07.2023) I claim: 1. A sea ice habitat restoration platform (10) for extracting oncoming pack ice (208) having a drift speed (v), drift direction (214), a thickness (h), a characteristic length (lc), and a flexural strength (op, and for depositing the extracted sea ice (216) on passing pack ice (210) to form through freeze-bonding (234) rafted pack ice (226228) and (230) providing an augmented habitat for ice-obligate and ice-associated semi-aquatic marine mammals, terrestrial mammals, seabirds, fish, micro-, meio- and macrofauna and flora on, within and around the pack ice, the sea ice habitat restoration platform (10) comprising: a marine platform (12) having a design waterline (200), a beam (14), a bow (18), a stern (20), a longitudinal centerline (22), a port side (24), a starboard side (26), a platform longitudinal axis, (Ax), extending from the platform bow (18) to the platform stern (20), a platform transverse axis, (Ay), orthogonal to the platform longitudinal axis, (Ax), and a platform vertical axis, (Az), orthogonal to the platform longitudinal axis, (Ax), and the platform transverse axis, (Ay); a symmetrical cantilevering double inclined-plane ice ramp (28) supported by the marine platform (12), the double inclined-plane ice ramp (28) having a port ice-ramp portion (30) and a starboard ice- ramp portion (32), the port ice-ramp portion (30) having a forward port ice- ramp portion (34) and an aft port ice-ramp portion (36), the starboard ice-ramp portion (32) having a forward starboard ice- ramp portion (38) and an aft starboard ice-ramp portion (40), the forward port ice-ramp portion (34) and the forward starboard ice-ramp portion (38) forming a forward ice- ramp portion (42), the aft port ice- ramp portion (36) and the aft starboard ice-ramp portion (40) forming a aft ice-ramp portion (44); a rafting wedge (54) supported by the marine platform (12), the rafting wedge (54) bisecting the aft ice-ramp portion (44) into the aft port ice-ramp portion (36) and the aft starboard ice- ramp portion (40), the aft port ice- ramp portion (36) extending from a rafting- wedge prow 56 aftwardly along the port side (24) of the marine platform (12) and cantilevered outboard from the port side (24) of the marine platform (12), the aft starboard ice-ramp portion (40) extending from the rafting-wedge prow (56) aftwardly along the starboard side (26) of the marine platform (12) and cantilevered outboard from the starboard side (26) of the marine platform (12), characterized in that: the forward ice-ramp portion (42) has a forward ice-ramp portion inlet (46) with a forward ice-ramp portion inlet half-width. (R) determined bv a mathematical relationship AMENDED SHEET (ARTICLE 19) where R is inlet width (m); h is sea ice thickness (m); or is sea ice flexural strength (Pa); pi is sea ice density (kg/m3); and g is acceleration of gravity (m/s2), and has a forward ice-ramp portion shearing zone (48) aft of and contiguous with the forward ice- ramp portion inlet (46); the aft ice-ramp portion (44) has port and starboard aft ice-ramp portion outlet zones (50) aft of and contiguous with the forward ice-ramp portion shearing zone (48); the double inclined-plane ice ramp (28) has a vertex (62) extending from the forward ice-ramp portion inlet (46) to the rafting-wedge prow (56), the vertex (62) having a positive linear longitudinal vertex slope, (α), the vertex applying a hogging moment, (M), to the extracted sea ice exceeding the flexural strength, ( δf), of the extracted sea ice as the extracted sea ice longitudinally traverses the forward ice-ramp portion (42) at a ramp velocity about equal to the drift speed of the sea ice, (v); a transverse slope, (δ), of the port ice-ramp portion (30) and the starboard iceramp portion (32) progressively increases downwardly from the bow (18) toward the stern (20); and the rafting wedge (54) has a port rafting wedge wall (58) extending beyond the port side (24) of the marine platform (12) and a starboard rafting wedge wall (60) extending beyond the starboard side (24) of the marine platform (12), the port and starboard rafting wedge walls 58 and 60 have a rafting wedge wall width, (W), determined by a mathematical relationship: where D is an offset distance for depositing the rafted ice and is the mean of the offset distance Dcr-vmax for a fully cracked condition and the offset distance Dei-vmax for an uncracked, fully elastic condition. AMENDED SHEET (ARTICLE 19) 2. The sea ice habitat restoration platform (10) of claim 1, wherein the symmetrical cantilevering double inclined-plane ice ramp (28) is a ruled surface bounded by a lower bounding curve (64) and an upper bounding curve (66) and rulings of the ruled surface are oriented about 90° transverse to the platform longitudinal axis, (Ax). 3. The sea ice habitat restoration platform (10) of claim 2, wherein: the lower bounding curve (64) is formed by the intersection of a horizontally oriented surface (68) and a vertically oriented surface (70), the horizontally oriented surface (68) is extruded from a first curve (72) on the longitudinal axis, (Ax), of the marine platform (12), the first curve (72) having a forward portion (74) and an aft-portion (80), the forward portion (74) inclined at a slope (76) of about 10° over a length of about 14.4 m, the aft-portion (80) inclined at a slope of about negative 2° having a length of about 6.8 m via an arc (78) having a radius of curvature of about 30 m and a cord of about 6.3 m, the forward portion (74) transitioning to the aft-portion (80) the vertically oriented surface (70) is extruded from a second curve (82) in a horizontal plan, the second curve (82) having a forward portion (84), a mid-portion (86) and an aft-portion (90), the forward portion (84) being a portion of an ellipse with a major axis of about 10.83 m and a minor axis of about 5.50 m, the major axis parallel to the mid-portion (86), the forward portion (84) transitioning tangentially at the co-vertex of the ellipse to thejnid-portion (86), the mid-portion (86) having a slope of about 30° over a length of about 15.72 m, the midportion (86) transitioning to the aft-portion (90) via a portion of an ellipse (88) having a major axis parallel to the mid-portion and about 6.21 m and a minor axis of about 4.24 m, the aft-portion (90) being a line segment having a slope of about 82° from the major axis of the ellipse (88) and having a length of about 3.67 m, the upper bounding curve (66) is formed by an intersection of a frustrum (92) of a right circular cone with a sinusoidal surface (94) extruded from the sinusoidal curve, a top (96) of the frustrum (92) has a radius of about 25 m with a draft angle (98) of about 21° and is centered about 25 m off the platform longitudinal axis (Ax) and is offset aft of the marine platform bow (18) about 5.86 m, AMENDED SHEET (ARTICLE 19) the sinusoidal surface (94) is extruded along the platform transverse axis (Ay) from a curve (100) having an aft portion (102) defined by a sine wave z = -7COS(2TTX/62) joined at the base of the wedge prow (101) to a forward portion (104) defined by a line coincident with the vertex (62) and having a slope of about 21° tangentially joining the sine wave. 4. The sea ice habitat restoration platform of claim 1, wherein the positive linear longitudinal vertex slope (α) is about 21°, and the transverse slope (6) of the port ice-ramp portion (30) and the starboard ice-ramp portion (32) progressively increase from about zero at the bow (18) to about negative 15° toward the stern (20). 5. The sea ice habitat restoration platform (10) of claim 1, wherein the rafting wedge (54) has a half angle, (E), about 25°, and a wedge prow (56), and the port and starboard rafting wedge walls (58, 60) have a negative vertical slope (y), less than about 85° and greater than about 75° with respect to the adjacent ramp surface, and an arclength extending beyond the beam (14) of the marine platform (12) and have a radius of curvature corresponding to a portion of a right circular cone 6. The sea ice habitat restoration platform (10) of claim 1, wherein the bow (18) of the marine platform (12) has a leading edge (134) beveled downwardly at about 45° at a bow centerline (52) below the design waterline (200) and has a general shape corresponding to a truncated frustrum of an ellipsoid configured to break sea ice having a pressure ridge. 7. The sea ice habitat restoration platform (10) of claim 1, wherein the marine platform (12) has a mooring assembly (118) situated between the working surfaces of the rafting wedge (54) , the mooring assembly (118) configured to receive and retain therein a pier (120) securing the marine platform (12) to the sea floor (351) and about which the marine platform (12) can weathervane (114) and heave (116) to accommodate changes in sea level, sea state including a design wave (206), and ice conditions. 8. The sea ice habitat restoration platform (10) of claim 1, wherein the marine platform (12) has an ice rudder (109), lateral and aft surfaces (110, 112), each of which is canted to direct AMENDED SHEET (ARTICLE 19) impinging pack ice loads towards a horizontal plane about 0.4h below the design waterline (200) of the rudder (109). 9. A method (400) for restoring a sea ice habitat for ice-obligate and ice-associated species comprising the steps of: mooring (410) a sea ice habitat restoration platform in a marine ecosphere having oncoming drifting pack ice (208); extracting (412) a sea ice slab (216) from the drifting pack ice (208); hogging (414) the extracted sea ice slab (216) by applying a bending moment (M) to the extracted sea ice slab (216); depositing (416) the extracted sea ice slab (216) as rafted pack ice (226, 228, 230) on passing pack ice (210) having a free edge (220) forming a bounding edge of a channel (236), the rafted pack ice setback from the free edge (220) to form a terraced ice edge (229) facilitating semi-aquatic marine mammal haulout and access to and from a disturbance corridor (235). forming (413) a micro polynya channel (236), simultaneous to steps 412, 414 and 416, in the marine ecosphere aft of and below the sea ice habitat restoration platform; 10. A method (400) of restoring a sea ice habitat according to claim 9, wherein: the sea ice habitat restoration platform in the mooring step (410) is the sea ice habitat restoration platform 10 of claim 1 , the extracting step (412) extracts the sea ice slabs (216) using the forward ice ramp portion (42), and the hogging step (414) cracks the extracted sea ice slab (216) under its own weight with the vertex (62) of the forward ice ramp portion (42) as the extracted sea ice slab (216) longitudinally traverses the forward ice-ramp portion (42) at a ramp velocity about equal to the drift speed, (v), of the oncoming drifting pack ice (208). the depositing step (416) deposits the extracted sea ice slab (216) as rafted pack ice (226, 228, 230) on passing pack ice (210) having a free edge (220) forming a bounding edge of the channel (236), the rafted pack ice setback from the free edge (220) to form a terraced ice edge (229) facilitating semi-aquatic marine mammal haulout and access to and from the disturbance corridor (235). AMENDED SHEET (ARTICLE 19) the forming step (413) creates an opening in the pack ice to form a micro polynya channel (236), simultaneous to steps 412, 414 and 416, in the marine ecosphere aft of the habitat restoration platform. AMENDED SHEET (ARTICLE 19) |
part of the disturbance corridor, and for brevity, references to the disturbance corridor generally include the micro polynya unless noted otherwise. The five basic functions or effects to be estimated for a proposed pack ice disturbance corridor are outlined in Table 1 below: Corridor Habitats Estimate extents of corridor habitat for all seasons for each species, projected down to the benthos and into the atmosphere to a height where the corridor microclimate ends. Estimate the temporal succession of habitats and their timing. Estimate projected population gradients and dynamics from micro to regional scales. Cross Corridor Estimate connectivity for species across the polynya and corridor. Connectivity and Estimate permeabilities for biotic and abiotic material and energy Permeabilities exchanges across the polynya and corridor. Estimate their gradients, dynamics, potential negative effects, potential synergies, and tradeoffs. Map out signs that make the corridor detectable and navigable for each species and how they change over the year: i.e., visual, auditory, olfactory, tactile, thermal, osmotic, and other sensory cues. Along Corridor Estimate connectivity for species along the polynya and corridor. Connectivity and Estimate permeabilities for biotic and abiotic material and energy Permeabilities exchanges along the polynya and corridor. Estimate their gradients, dynamics, potential negative effects, potential synergies, and tradeoffs. Corridor Sources Estimate the flux of species, materials and energy types from the corridor into the three matrices of pack ice, water column and benthos. Include net dispersal of species from the corridor into a matrix or into a neighboring ice disturbance corridor. Corridor Sinks Estimate the flux of species, materials and energy types from the three matrices of pack ice, water column and benthos into the corridor. Include net dispersal of species into the corridor, from a 25 neighboring disturbance corridor; Include predation, and other forms of mortality that the corridor may play a role in. Table 1: Five basic functions or effects to be defined for a pack ice disturbance corridor. [0062] To characterize some preliminary responses to the above corridor functions or effects, consider a hypothetical platform site in the Chukchi Sea, midway between Icy Cape, Alaska (a previous mass haulout site for walrus) and Hanna Shoal. The site is in about 43 m of water, about 80 km from shore (roughly an 8-hour swim for walrus in open water at a typical speed of around 10 km/hr; Fay, 1982, p.21) and directly south of Hanna Shoal. The time of year is assumed to be the start of freeze-up, which is now in late November to early December. As noted previously, Hanna Shoal and vicinity is a favored foraging area of many Pacific walrus (Jay et al., 2012, pp.3, 10) since it is a benthic community hotspot, especially regarding bivalves that are key prey for walrus. The rafted sea ice habitat generated along the prospective ice disturbance corridor begins with the micro polynya, which is flanked on each side by newly rafted ice on a depressed, slightly canted pack ice area sloping down towards the channel edges with resultant flooding. Ice slabs riding up the platform ramps during extraction and rafting onto level ice may undergo partial brine drainage if the pore space is sufficiently connected, given the reduction of head pressure, which will result in micro-, meio- and some macro fauna and flora being transferred onto the ramps and into the water column predominantly around the platform forebody. As the rafted slabs rest partially submerged in flood water on the level ice, they may continue to drain, which may transfer more micro-, meio- and macro fauna and flora into the floodwater along with EPS-laden brine, which may invite predation by seabirds, sea ducks and others. [0063] The disturbance corridor’s near field longitudinal axis weathervanes about the platform pier according to the pack ice drift direction, which is related to the local wind rose, with an offset that may be about 25-30° to the right of the downwind direction, what will be referred to as the ‘downdrift’ direction - due to the Coriolis effect (Weeks, 2010, p.435). For this site, the prevailing drift direction is likely to create a disturbance corridor oriented towards the west-northwest, which roughly parallels the southwest perimeter of Hanna Shoal. Depending on the accumulation of FDD and drift speed, the relatively warm open water microclimate of the micro polynya - at times made visible with frost smoke in winter - is succeeded downdrift by new ice (e.g., nilas or frazil, growing up to 10 cm), which given further FDD is succeeded by young ice (10-30 cm), on up through FY ice (Weeks, 2010, pp. 81). This gradient of thermodynamically grown ice will be accompanied by varying amounts of the aforementioned dynamic processes causing mechanical deformation. [0064] Pack ice drifting will occasionally reverse direction but typically for only short periods of up to a week. The corridor’s jagged overall curvilinear plan will be formed by all the impinging drift forces accumulated over the course of the ice season, and may finally span several hundred kilometers in unfolded length (Weeks, 2010, p.437, Fig.16.1). Depending on the platform’s location, some portions of the disturbance corridor may still be over shelf water habitat by the end of summer melt, though some may have drifted over the continental slope and deeper water, which will be of little direct use for many of the semi- aquatic species noted as it is beyond some of their favored foraging depths. Nonetheless, there may be benefit to the overall pack ice ecosystem, possibly to micro-, meio- and macrofauna and flora in and on the ice, and to species not as limited in diving depth or having no need of diving to the benthos. [0065] The ice disturbance corridor habitat has a pronounced vertical dimension approximated by projecting the outline of the platform’s rafted ice and floodwater down to the benthos, and projecting the same outline up to include the atmospheric microclimate, which includes increased ocean-atmosphere exchange of light, heat, vapors and gasses via the micro polynya and its succession of downdrift new ice. This volume approximately encompasses many causal chains of direct and indirect disturbance prior to spring break-up when the rafted ice framework of the corridor begins to disperse into potentially tens of thousands of rafted, freeze-bonded ice floes. Many of the species subpopulatons supported by the disturbance corridor will disperse with the rafted ice remnants. [0066] As an example of indirect disturbance set in motion due to the increased connectivity across and along the disturbance corridor, the resultant increased mobility of semi-aquatic marine mammals, diving seabirds and sea ducks to and from the benthos, enables their bioturbation of benthic sediments as they forage, which resuspends sediments and nutrients that may benefit of the benthic community and in shallower areas may be entrained as nutrients into higher portions of the water column (Nelson, 1994, pp.1-24, Fig. 4, 5 and 12; Ray and McCormick-Ray, 2014, pp.129-130). [0067] Examples of permeability of materials, nutrients and energy transmitted across the corridor include the increased flux of organic carbon (a component of marine snow) from enhanced primary production in the micro polynya due to increased solar insolation, and from the eventual melting and carbon flux of the rafted ice remnant floes months later. The disturbance corridor’s permeability also encompasses the increased brine flux into the water column from new ice formation, which increases vertical mixing due to its higher density and hence nutrient flow. Reduced wind speed and wind chill, and the resultant accumulation of drifted snow is an example of cross-corridor permeabilities that are less than that of the matrix. [0068] Leads, which are often precursors of pressure ridges, are typically oriented to ice drift vectors at oblique or nearly perpendicular angles (Wadhams, 2000, p.152). Hence, pack ice disturbance corridors from platforms sufficiently spaced will tend to cut across pressure ridges to produce quadrilateral zones of level ice bounded on two sides by depressed rows of rafted ice and on the other two by pressure ridges or leads that may yet form them. From below, the result will be a loose, organic grid of submarine berms from the cracked and canted level ice supporting the rafted slabs, intersecting with pressure ridge keels. It is suggested that this organic grid may act as a network analogous to hedgerows above and mostly below the waterline, that allows some of the aforementioned aquatic species such as Arctic cod and amphipods to disperse and colonize along them. Such a grid may also impede the spread of oil below pack ice in the event of a spill (Wadhams, 2000, pp.273-274). [0069] Along with analyzing a site according to the five basic attributes of a corridor, mapping the succession of pack ice disturbance habitats will help identify which portions of the corridor will be colonized by which species over a particular period. A few examples follow: [0070] Adult walrus can break through ice that is up to about 20 cm thick (young ice; Fay, 1982, p.21), but for haulout they need approximately 60 cm (Robards, 2008, p.19). Walrus in the Chukchi Sea may be attracted to haulout on a restoration platform during freeze-up - as they may be to a natural island - and swim and dive in the micro polynya in its wake. For the Artic marginal seas where they range, beluga (Delphinapterus leucas), bowhead whales (Balaena mysticetus) and narwhals (Monodon monoceros) may also benefit from a platform’s micro polynya and portions of a disturbance corridor where the ice is thin enough to break through. [0071] While it is not certain that walrus will choose to overwinter in a micro polynya formed by a platform, it may not be critical for their preservation that they do so. They may still benefit from thicker rafted ice during spring break-up and summer melt if they overwinter elsewhere, for example in their traditional haulouts in the Bering Sea, though the ice there is thinning and receding more rapidly than at higher latitudes. Nonetheless, there are accounts of walrus not migrating ahead of the advancing winter ice front and instead overwintering in recurring leads or polynyas, such as that which forms north of Wrangel Island, and within the pack of northeastern Svalbard (UFWS, 1994, p.8; Wiig et al., 1996, p. 769; Belikov et al., 1997, pp.267-269). Though it is suspected that the avoidance of long migrations may provide some energetic benefit, for example the annual migration of most of the Pacific walrus subpopulations between the Bering and the Chukchi and Beaufort Seas, there will be increased risk of overgrazing by overwintering on and around platforms if statically placed. Thus, as former migration routes contract due to receding ice habitat extents, platforms will probably require periodic rotation, for example over an array of piers, so that some areas may lie fallow to allow benthic recolonization. As an example, bivalves like Mya truncata that walrus may rely on as prey, require some years to mature and can live to over 40 (Fay, 1982, pp.145, 150; Leontowich, 2004, pp.5, 39). As the ice over shelf waters continues to decline, there will be increased risk of overgrazing by walrus and other benthivores in any case. [0072] In a platform-based overwintering scenario for walrus, as freeze-up continues they will be restricted from swimming downdrift of the micro polynya further than young ice that exceeds about 20 cm. For a number of weeks after freeze-up begins, they will also be limited to pack that can reach a thickness of around 30 cm which the platform could then raft over a number of days into a freeze-bonded composite of about 60 cm to begin supporting their haulout and resting loads. Thus with the FDD accumulation rate for a site, one can estimate the time at which the ice will reach a 30 cm thickness, so that via the rafted ice they can move off the platform and onto natural ice habitat. [0073] The distance downdrift from a platform that walrus and other species find sufficiently stable, safe, comfortable and advantageous for various activities is not certain, and there may be a period of acclimation. For example, the noise of rafting ice from the platform should be similar to that created by ridge building or of floes colliding with one another in the MIZ - their preferred home in the pack ice. Research to determine a ‘safe’ standoff distance for icebreakers to avoid disturbing walrus based on some unquantified combination of noise and visual cues has provided a range of recommendations: 300-500 m and 600-800 m (Keighley et al., 2021, p.276). At a drift speed of about 0.1 m/s (Table 2) this translates to a downdrift time of about 2 hours (nearly 9 km/day). Assuming only thermodynamic growth estimated with Anderson’s equation (Anderson, 1961) at a rate of about 25 FDD/day based on January data in the Chukchi Sea (Francis et al., 2016, p.23), two hours of exposure in the winter Chukchi pack ice may produce new ice thickness of about 1 cm in the channel, which is easily broken by walrus and the other aforementioned semiaquatic marine mammals, though possibly not by sea birds or sea ducks. [0074] In some contrast to walrus, ice-obligate bearded seals may be able to break through ice with their head up to about 10 cm thick (Cameron et al., 2010, p.9), but can dive to depths beyond 200 m (Cameron et al., 2010, p.10), and thus will have a habitat range overlapping with walrus, as they often do in the MIZ, but they may congregate closer to the platform in winter due to the 10 cm limit, though with significantly deeper foraging potential. They are benthic feeders like walrus, but epifaunal rather than infaunal in selecting prey (Burns et al., 1985, p.59). Similar estimates can be made for other pagophilic phocids. In general, where the ringed and bearded seals go, the polar bears quickly follow given sufficient ice (Stirling, 1998, pp.61, 178), and where the bears go, Arctic fox may be close by. [0075] To generalize, as an animal’s kinetic energy is converted via impact into strain energy of a deflected ice sheet to the point of cracking, the energy to break through is related to the square of the speed that the animal can generate prior to impact, its mass, impact angle, and ability to withstand impact. Consequently, more massive, faster animals will be more likely to pioneer thicker new ice, and lighter, slower possibly more fragile species may be limited to thinner ice when on their own, or need to be successors to the pioneers. Thus, the further downdrift of the micro polynya, the more the disturbance corridor may be restricted to animals of higher mass, speed, and resistance to impact injury. One exception in heavier ice will often be ringed seals, which maintain breathing holes by abrasion with their fore flippers. Further Disturbance Corridor Metrics [0076] A few metrics suggested for mapping out a proposed ice disturbance corridor to graphically clarify the five basic functions or effects include the items listed below: 1. Bathymetry of the benthos at and downdrift of the proposed platform site. Approximate drift track envelopes can be estimated using published drift buoy research for some areas of the Chukchi and Beaufort Seas (See for example Pritchard and Thomas,1985 pp.243-250). Also see Hibler (1989, pp.50 and 68) for drift buoy tracks and simulated average annual drift vectors. 2. Distance and elapsed time downdrift of platform for formation of new ice (e.g., nilas or frazil), young ice (10-30 cm), and FY ice (>30 cm formed over one winter). 3. Floodwater estimated width and depth, and rate of new ice production (m 3 /day). 4. Distance downdrift from the platform at which full freeze-bonding of rafted ice occurs. 5. Total length and area of the rafted ice portion of the disturbance corridor over the course of a typical year. In many areas in the Chukchi and Beaufort Seas where the aforementioned species forage, pack ice annual drift can range from 100 – 500 km. Thus, a well-placed platform will be capable of producing a corridor of rafted pack ice and new ice habitat of similar length. Details and Considerations of Rafted Ice Deposition [0077] With the sea ice habitat restoration platform in accordance with the present invention, slabs may be deposited consistently though with some beneficial random variation along the channel edge with gap widths between slabs that will vary with ice thickness as well as the particular design geometry of the platform ramps. For a one-meter ice thickness, gaps may be on the order of two meters or more, which allow the largest marine mammals to circulate to and from level ice to the ice edge in the near field and eventually across newly frozen ice in the far field. Gapping of slabs also induces more snow drifting, which can enhance ringed seal lair-making opportunities (Smith and Stirling, 1975, Fig.2, 3 and 4). Uniformly placed rafted slabs distribute their weight evenly for less stress on the level ice. While freeze-bonding of rafted and level ice will only proceed with sufficient FDD, there still remains a structural advantage to two or more layers of unbonded ice (i.e., resisting a load in tandem rather than compositely). While no freeze-bond formation with floodwater poses an extreme case, it is also likely that in winter some amount of regelation (localized freeze- bonding activated by contact pressure) will occur at contact points between slabs since the dead load pressure of the overlying slab will be significant – for example between two double rafted slabs lying flat against one another and not immersed in freezing water. The point at which the remaining FDD for a given year become insufficient for the amount of freeze- bonding required will vary by region and year. [0078] With the sea ice habitat restoration platform in accordance with the present invention, rafted sea ice is setback from the channel edge in order to create a tiered icescape. This creates steps for a more gradual transition into or out of the water, which may be more amenable to hauling out and climbing over. This is another aspect that must be tailored to the particular ice habitat restoration required. A larger setback distance will also more widely distribute rafted ice loads. Ice edge load capacity is approximately 2.5 times less than that setback enough to approximate an infinite floating plate (Kerr, 1975, pp.10-11), and thus poses more risk of rafted ice breaking through the level ice or of sliding back into the channel. BRIEF DESCRIPTION OF THE DRAWINGS [0079] The foregoing Summary of the Invention, as well as the following detailed Description of the Embodiments of the invention, will be better understood when read in conjunction with the appended drawings. For the purpose of illustrating the invention, there is shown in the drawings embodiments which are presently preferred. It should be understood, however, that the invention is not limited to the precise arrangements and instrumentalities shown. [0080] In the drawings: Fig.1 is a port side axonometric view of a preferred embodiment of a sea ice habitat restoration platform viewed from above in accordance with the present invention; Fig.2 is a front elevation view of the platform of Fig.1; Fig.3 is a rear elevation view of the platform of Fig.1; Fig.4 is a plan view of the platform of Fig.1; Fig.5 is a bottom view of the platform of Fig.1; Fig.6 is a side elevation view of the platform of Fig.1; Fig.7 is an axonometric view from above of the platform of Fig.1 in-situ, rafting pack ice and creating a micro polynya and ice disturbance corridor; Fig.8 is an axonometric view of two construction surfaces, whose intersection (heavy dashed) forms the lower bounding curve of the ruled surface of the platform of Fig.1; Fig.9 is a cross-sectional side elevation view of the two construction surfaces of Fig. 8 taken along the lower bounding curve (heavy dashed) of the ruled surface; Fig.10 is a plan view of the two construction surfaces of Fig.8 intersecting to form the lower bounding curve (heavy dashed) of the ruled surface; Fig.11 is an axonometric view of a right circular cone and a sinusoidal surface intersecting to form the upper bounding curve (heavy dashed) of the ruled surface of Fig.1 at the base of the rafting wedge and along the vertex. Also indicated is wedge wall surface 58 (heavy dashed) as formed by a portion of the frustrum; Fig.12 is a side view of the frustrum of the right circular cone and the sinusoidal surface of Fig.11 intersecting to form the upper bounding curve (heavy dashed) of the ruled surface of Fig 1; Below it in side view is the lower bounding curve (heavy dashed); Fig.13 is a plan view of the frustrum of a right circular cone intersecting with the ramp surface to form a portion of the upper boundary curve (66) of the wedge wall surface (heavy dashed) of the ruled surface of Fig.1; Fig.14 is a logic flow diagram of a preferred method for restoring a pack ice habitat for semi-aquatic marine mammals and the other aforementioned species in accordance with the present invention; Fig.15 is a graph of preferred offset distance D (m, solid line) to maximize flood volume and provide adequate immersion for freeze-bonding, with level ice characteristic length l c (m) on the x-axis and offset distance on the y-axis (m). Also graphed are related offsets for evaluating platform design: a. Offset distance D min (m, dashed line) in which deposition of rafted ice is approximately up to the channel edge; b. Offset distance Del-vmax (m, hidden line) in which a maximum volume of floodwater would be produced if the level ice remained fully elastic and did not crack under the linear rafted ice load; c. Offset distance D cr-vmax (m, hidden line) in which the level ice may crack due to the hogging moment from the linear rafted ice load; d. Offset distance D cr (m, phantom line) in which a crack parallel to the channel forms due to the hogging moment from the linear rafted ice load. Fig.16 is a rear perspective of the platform of Fig.1, rafting ice and creating a disturbance micro polynya and corridor; Fig.17 is a plan view of the platform in Fig.7 and Fig.16, rafting ice and creating a disturbance corridor with corridor extents indicated; Fig.18 is a longitudinal outboard profile of the platform rafting ice in Fig.19; Fig.19 is an enlarged plan view of the platform rafting ice in Fig.17; Fig.20 is a transverse section through the pier 120 of the platform in Fig.19; Fig.21 is a transverse section through jacking mechanism of the platform in Fig.19; Fig.22 is a transverse section through the shearing zones 48 of the bow in Fig.19; Fig.23 is an enlarged axonometric section of rafted pack ice with the freeze-bond formed; (Ice structure adapted from Fig.1 of Schwarz and Weeks (1977); Fig.24 is an enlarged section of skeletal bottom ice in Fig.23; Image adapted from Fig.1.2, Lund-Hansen et al. (2020), p.4; Fig.25 is an enlarged section of skeletal bottom ice after freeze-bonding in Fig.23; (Image adapted from Fig.1.2, Lund-Hansen et al. (2020), p.4; Fig.26 is an enlarged section of a brine channel wall with some typical bottom ice community members in Fig.23; Image adapted from Fig.7.10 of Thomas et al. (2008), p. 194; Fig.27 is a transverse section of the micro polynya channel near field zone in Fig.17, prior to freezing; Fig.28 is an enlarged detail of the section in Fig.27 of the rafted pack ice set back from the channel edge; Fig.29 is a transverse section of the micro polynya channel’s far field zone cut in a manner similar to that of the near field in Fig.27, but further downdrift and with new ice production in the channel; Fig.30 is an enlarged detail of the section in Fig.29 of the rafted pack ice set back from the channel edge with freeze-bonding and new ice production underway; Fig.31 is a transverse section through the frozen channel and rafted, freeze-bonded ice slabs in the further far field with their induced snow drifts, and two subnivean lairs constructed by ringed seals; Fig.32 is an enlarged detail of two subnivean lairs from Fig.31; Fig.33 is a plan view of the leeward snow drift and two subnivean lairs from which the section in Fig.31 is taken; Fig.34 is a transverse section cut in a manner similar to Fig.32 through a canted- rafted 230 slab and a freeze-bonded flat rafted 226 slab formation in the case of no snow for ringed seals, or for other pagophilic phocids that do not construct lairs but that may benefit from the added shelter; Fig.35 is a plan view of platform in Fig.1 during summer melt in which rafted, freeze-bonded remnant floes (248 and 250) derived from the ice disturbance corridor support the semi-aquatic marine mammals and other aforementioned species; Fig.36 is a section through the water column over shelf waters during summer melt in which isolated floes of rafted, freeze-bonded remnants (248 and 250) from the disturbance corridor drift and disperse sea ice micro-, meio- and macrofauna and flora into the water column 204, which support the benthic community upon which many of the aforementioned species depend; Fig.37 is an enlarged section of a rafted, freeze-bonded floe supporting walrus from the section in Fig.35 and Fig.36; Fig.38 is an enlarged section of a rafted, freeze-bonded floe with advanced rotting of the ice and reduced capacity still able to support pagophilic phocid seals, seabirds and sea ducks, from the section in Fig.35 and Fig.36; Fig.39 is an axonometric view of a few typical Arctic shelf benthic community members with a foraging sea duck (Image adapted from Conlan et al.1998, p.13); Fig.40 is a free body diagram of extracted ice segments driven over a ramp with 2D radius of curvature for the derivation of criterion ^ to quantify bucking instability. Fig.41 is a graph of Thawing Degree-Days (TDD)/Day (°C-day/day) vs Ordinal Date for the air temperature above 0°C in the Chukchi Sea region adapted from TDD per month data from Francis et al. (2016, p.23, Fig.1.15). DESCRIPTION OF THE EMBODIMENTS [0081] Reference will now be made in detail to embodiments of the invention, examples of which are illustrated in the accompanying drawings. The terminology used in the description of the invention herein is only for the purpose of describing particular embodiments of the invention and is not intended to be limiting of the invention. [0082] As used in the description of the invention and the appended claims, the singular forms "a", "an" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. The words "and/or" as used herein refers to and encompasses any and all possible combinations of one or more of the associated listed items. The words "comprises" and/or "comprising," when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. [0083] The words "right," "left," "lower" and "upper" designate directions in the drawings to which reference is made. The words "inwardly" and "outwardly" refer to directions toward and away from, respectively, the geometric center of the assembly, and designated parts thereof. The terminology includes the words noted above, derivatives thereof and words of similar import. [0084] As used herein, the word "about" when preceding a numerical value is intended to mean that the disclosed and/or claimed numerical value can be any value within a range of minus 10% to plus 10% of the stated value. [0085] The following description is directed towards various embodiments of the sea ice habitat restoration platform in accordance with the present invention. The preferred area of deployment for the below described embodiments is the Beaufort and Chukchi Seas. Accordingly, the sea ice properties commonly found in the Beaufort and Chukchi Seas, and shown in Table 2, provide the basis for determining the preliminary design parameters for the preferred embodiments described below. Table footnotes are numbered in parentheses. FY Pack Ice Property Value Mean thickness, h (m) Chukchi Sea (1) 0.5-2.0 Beaufort Sea (2) 1.5-2.3 Flexural strength, σ f (kPa) (winter) (3) 400-800 Density, ρi (kg/m 3 ) (4) 910 Seawater density, ρ (kg/m 3 ) (4) 1025 Elastic modulus (GPa) (5) 3.5-6.5 Poisson’s ratio, ^ ^ ^ ^ ^ ^ 0.30 Characteristic length, lc (m) For 0.5 m thickness (7) 9 For 2.0 m thickness (7) 25 Average annual drift speed (m/s) Chukchi Sea (8) 0.1-0.5 Beaufort Sea (9) 0.08 Table 2: Pack ice properties for Beaufort and Chukchi Seas assumed for preliminary design Notes: 1. ISO 19906 (2019), Annex B, Chukchi Sea, FY ice 2. ISO 19906 (2019), Annex B, Beaufort Sea, FY ice 3. Tatinclaux (1984), p.6; Weeks (2010), p.249 Fig.10.18, p.270 Fig.10.33 4. Weeks (2010), p.223 5. Weeks, 2010, p.269, Fig.10.32 6. Tatinclaux (1988), p.7 7. Tatinclaux (1988), p.6 8. ISO 19906 (2019), Annex B, Chukchi Sea, Table B.8-4 9. ISO 19906 (2019), Annex B, Beaufort Sea, Table B.7-4 [0086] However, the disclosure is not intended to be exhaustive or to limit the invention to the precise values of the design parameters. Those skilled in the art will appreciate that changes could be made to the embodiments described below for sea ice habitat restoration platforms to be deployed in areas other than the Beaufort and Chukchi Seas and having different sea ice properties without departing from the broad inventive concept thereof. FIRST PREFERRED EMBODIMENT [0087] Referring to the drawings in detail, where like numerals indicate like elements throughout, there is shown in Figs.1-41 a first preferred embodiment of the sea ice habitat restoration platform, generally designated 10 and hereafter referred to as the “habitat restoration platform 10” in accordance with the present invention. The habitat restoration platform 10 extracts oncoming pack ice 208 having a drift speed v, drift direction 214, a nominal thickness h, a characteristic length l c , and a flexural strength σ f , and deposits the extracted sea ice on passing pack ice 210 to form rafted pack ice (226 with freeze-bonding 234; doubly rafted 228 without freeze-bonding; and canted-rafted 230 with partial freeze- bonding) providing an augmented habitat for semi-aquatic marine mammals and the other ice-obligate and ice-associated species aforementioned. [0088] The sea ice habitat restoration platform 10 comprises a marine platform 12 having a design water line (DWL) 200, a beam 14, a bow 18, a stern 20, a longitudinal centerline 22, a port side 24, a starboard side 26, a platform longitudinal axis Ax extending from the platform stern 20 to the bow 18, a platform transverse axis A y orthogonal to the platform longitudinal axis Ax, and a platform vertical axis Az, centered on the supporting pier 120, orthogonal to the platform longitudinal axis Ax and the platform transverse axis Ay. [0089] A symmetrical cantilevering double-inclined-plane ice ramp 28 is supported by the marine platform 12. The double inclined-plane ice ramp 28 has a port ice-ramp portion 30 and a starboard ice-ramp portion 32. The port ice-ramp portion 30 has a forward port ice- ramp portion 34 and an aft port ice-ramp portion 36. The starboard ice-ramp portion 32 has a forward starboard ice-ramp portion 38 and an aft starboard ice-ramp portion 40. The forward port ice-ramp portion 34 and the forward starboard ice-ramp portion 38 form a forward ice- ramp portion 42. The aft port ice-ramp portion 36 and the aft starboard ice-ramp portion 40 form the aft ice-ramp portion 44. [0090] In some embodiments, the port ice-ramp portion 30 and the starboard ice-ramp portion 32 have a transverse slope δ progressively increasing from about zero degrees at the bow 18 to about negative 15° amidship. [0091] The forward ice-ramp portion 42 has a forward ice-ramp portion inlet 46 with a forward ice-ramp portion inlet half-width, R, based on Equation 6, and has forward ice-ramp portion shearing zones 48 aft of and contiguous with the forward ice-ramp portion inlet 46. The aft ice-ramp portion 44 has port and starboard aft ice-ramp portion outlet zones 50 aft of and contiguous with the forward ice-ramp portion shearing zone 48. [0092] In some embodiments, the bow 18 of the marine platform 12 has a leading edge 134 beveled downwardly at an angle ^ of about 45° at a bow centerline 52 below the design waterline 200 and has a general shape corresponding to a truncated frustrum of an ellipsoid configured to break sea ice having a pressure ridge. A filleted edge 136 with radius of curvature ^ of about 2.5 m between pressure ridge breaking inlet surface 134 and forward ice-ramp portion inlet 46 facilitates weathervaning due to the fillet’s fair curve inducing less resistance to pack ice lateral flow over inlet portion 46 – when rotating from port to starboard and vice versa. The preferred stem angle ^ is about 17° at bow centerline 52. [0093] A rafting wedge 54 is supported by the marine platform 12 and is generally located amidships. The rafting wedge 54 bisects 44 the aft ice-ramp portion into the aft port ice-ramp portion 36 and the aft starboard ice-ramp portion 40. The aft port ice-ramp portion 36 extends from a rafting-wedge prow 56 aftwardly along the port side 24 of the marine platform 12 and is cantilevered outboard from the port side 24 of the marine platform 12. The aft starboard ice-ramp portion 40 extends from the rafting-wedge prow 56 aftwardly along the starboard side 26 of the marine platform 12 and is cantilevered outboard from the starboard side 26 of the marine platform 12. [0094] The rafting wedge 54 has a port rafting wedge wall 58 extending beyond the port side 24 of the marine platform 12 and a starboard rafting wedge wall 60 extending beyond the starboard side 26 of the marine platform 12. The port and starboard rafting wedge walls 58, 60 have a rafting wedge wall width, W, which is based on Equation 5, relating offset distance, D, for depositing the rafted ice, and ramp inlet width, R. In some embodiments, the rafting wedge 54 has a prow half angle ε of about 25°; the rafting wedge prow 56 has a negative vertical slope; and the port and starboard rafting wedge walls 58, 60 have a negative vertical slope and an arclength extending beyond the beam 14 of the marine platform 12 and having a radius of curvature corresponding to a portion of a right circular cone. [0095] The rafting wedge walls 58, 60, in cooperation with the cantilevered port and starboard aft ice-ramp outlet zones 50 deposit the extracted sea ice 216 an offset distance D on average from a free edge 220 of a micro polynya channel 236 formed in the marine ecosphere aft of the marine platform 12 to an approximate centerline of the deposited rafted ice. Preliminary Design Equations for the First Preferred Embodiment [0096] As preliminary guidance for estimating a preferred offset distance D from the channel edge with adequate immersion for freeze-bonding 234 and maximal floodwater 232 for maximal new ice 239 production, it is estimated using upper and lower boundary curves. The upper boundary curve Dcr-vmax is the offset distance from channel edge that produces adequate immersion for freeze-bonding and maximum floodwater 232 volume for a fully cracked level ice condition, the cracking 237 due to the hogging moment from the linear rafted ice load. Floodwater volume created varies with the offset distance from the channel edge 220 at which the rafted ice is deposited, the characteristic length lc of the ice, and whether it is fully cracked parallel to the channel edge or remains uncracked, in this case by the load of the rafted ice strip (226, 228, 230 and any smaller amounts of rubble ice). The upper boundary curve is derived with finite element modeling (FEM) using a fully cracked portion of level ice supporting a strip of rafted ice load, with the crack parallel to the channel at about a distance Dcr from the channel edge as defined in Equation 8. Since this portion of level ice is conservatively assumed completely separated by the crack 237 from the rest of what is idealized as a semi-infinite level ice plate, it has a reduced load bearing area to support the rafted ice, leading to deeper immersion of the rafted ice and greater flood volume than the uncracked (lower boundary) condition. [0097] The upper boundary curve D cr-vmax of the fully cracked level ice condition may be estimated by the empirical mathematical relationship, D cr-vmax ≅ ^ l c 1/2 , (Eqn.1) and the sea ice characteristic length l c as determined by the mathematical relationship, l c = [Eh 3 /12 ^g(1 - ^ 2 )] 1/4 (Eqn.2) where: l c is characteristic length (m); h is mean ice thickness (m); ^ ^ is seawater density (kg/m 3 ); g is acceleration of gravity (m/s 2 ); E is the ice elastic modulus (Pa); and ^ ^ ^ ^is Poisson’s ratio (-). [0098] The characteristic length is the reciprocal of the “characteristic” of the floating ice plate system, which relates the elastic foundation modulus of the sea water, ^g , to the flexural rigidity of the ice plate floating on it, Eh 3 /12(1- ^ 2 ) (Hetényi, 1946, pp.1-4; Timoshenko and Woinowsky-Krieger, 1959, pp.4-6). Characteristic length is a concise way to quantify the load bearing contributions of both parts of the level ice system, and includes the contributions of level ice thickness, elastic modulus, and Poisson’s ratio, and eliminates the need to track of the many possible combinations separately. For example, the deflection curves of two floating ice plates with different thicknesses and elastic moduli, will be the same if they have the same characteristic length. This is analogous to the effect of flexural rigidity EI on a prismatic beam’s deflection curve. [0099] The lower boundary curve in contrast to the upper is based on a hypothetically uncracked uniform, semi-infinite level ice plate supporting the same strip of rafted ice (‘hypothetically’ since nearly all FE models of level ice indicated some level of flexural overstress due to rafted ice loading). Similar to the upper boundary, the lower boundary curve is based on ordered pairs of characteristic lengths and offset distances that maximize floodwater volume and provide adequate immersion for freeze-bonding, and may be approximated with the empirical mathematical relationship, Del-vmax ≅ R/2+10 sinh 3 [ ^(60- lc )/120] cos 2 [ ^(60- lc )/120], (Eqn.3) where: Del-vmax is the distance (m) from channel edge to centerline of rafted ice to generate the maximum flood volume and adequate immersion depth for freeze-bonding; R is inlet half-width (m) defined in Equation 6 below; and lc is characteristic length (m) defined in Equation 2 above. [00100] For a partially cracked condition assumed to occur in the level ice supporting the strip of rafted ice, the preferred offset D from channel edge to the centerline of deposited rafted ice may be approximated by a mean of the upper and lower boundary offsets such that, D = ^ ଶ ( Dcr-vmax + Del-vmax ). (Eqn.4) Given the level of idealization in this preferred offset distance, refined values of D must eventually be confirmed with ice tank testing of scale models, and evaluation of all other design requirements for the area of deployment, including those outlined in the section on the five basic functions of an ice disturbance corridor. [00101] In some embodiments, the rafting wedge wall width W may be determined by a mathematical relationship, W ≅ D + R/2, (Eqn.5) which is derived from the relationship D + R ≅ W + R/2 based on the plan geometry and dimensions indicated on the first preferred embodiment, where the offset distance D is determined by considering the results of Equations 1 through 4 set forth above and where the forward ice-ramp portion inlet half-width R is determined by Equation 6 set forth below. As a minimum offset case, where D ≅ R/2 (hence, W = R using Equation 5), the rafted ice 226, 228, 230 is placed approximately right at the channel edge 220, which is not preferred as it may create a large step or barrier that impedes movement of semi-aquatic marine mammals in or out of the water. Rafted ice deposited at the edge is also more likely to fall back into the channel. Regarding other dimensional relationships of the rafting wedge and the ramps, the preferred maximum cantilever span distance S is about 1.2 times W, and the preferred wedge wall height U is about 1.5 times the mean design ice thickness ^ ^ ^ ^2.33 ^ ^(for 99 th percentile ice thicknesses from -∞ to z, where z is the z-score selected by the designer), with ^ ^ and ^ ^ based on pack ice data from the area of deployment. ^ ^ [00102] The double inclined-plane ice ramp 28 has a vertex 62 extending from the forward ice-ramp portion inlet 46 to the rafting-wedge prow 56. In some embodiments, the vertex 62 has a positive linear longitudinal vertex slope α preferably about 21°. The vertex 62 applies a hogging moment M to the extracted sea ice 216 exceeding the flexural strength σf of the extracted sea ice as the extracted sea ice longitudinally traverses 218 the forward ice-ramp portion 42 at a ramp velocity about equal to the drift speed v of the pack ice. [00103] In some embodiments, the preferred forward ice-ramp portion inlet half-width R to break the sea ice 216 under its own weight in flexure on the vertex 62 of the double- inclined plane ice ramp 28 may be determined by the following mathematical relationship, ^ ఙ^ ^/ଶ ^^ ൌ ^ ଷ ఘ^ ^ ^ (Eqn.6) where: R is inlet half-width (m); h is sea ice thickness, as noted below (m); σf is sea ice flexural strength (Pa); ρi is sea ice density (kg/m 3 ); and g is acceleration of gravity (m/s 2 ). [00104] To achieve a desired confidence interval of cracking (e.g., a 95 th percentile from - ∞ to z) and assuming an approximately normal distribution for preliminary design, the thickness for designing the minimum ramp width may be estimated with the z-score method as follows: h pctl = ^ + z ^ (Eqn.7) ^ where: h pctl is percentile ice thickness (m); ^ ^ is mean design ice thickness (m); z is z-score (-) corresponding to the percentile rank; and ^ ^ is standard deviation (m). [00105] A design ice thickness hpctl based on the statistical distribution of level ice thickness for the region of deployment is preferred in order to achieve a selected confidence of complete cracking. For example, assuming the sea ice flexural strength is 800 kPa ice with mean thickness ^ = 0.45 m and standard deviation ^ of 0.17 m, the anticipated 95th percentile thickness is: h 95 = ^ + 1.65 ^ = 0.45 + 1.65(0.17) = 0.73 m [00106] Accordingly, a minimum ramp inlet half-width R of about 4.7 m is required to crack sea ice that may range up to 0.73 m thickness with the aforementioned characteristics based on Equations 6 and 7. If no standard deviation is used, on average 50% of the ice extracted will not crack on the vertex 62 under its own weight, again assuming a normal distribution. [00107] As noted above, the rafted ice linear load may induce a crack 237 via hogging moment in the level ice parallel to the channel edge, which may be useful for estimating flood volume, immersion depth, extents of the disturbance corridor ecotone, and other effects on corridor habitat properties. Assuming an idealized uniform thickness and strength of level ice prior to cracking, the offset distance Dcr from channel edge to the crack 237 centerline may be estimated by the following empirical mathematical relationship: Dcr ≅ ^ lc 3/4 + Del-vmax (Eqn.8) where: Dcr is distance (m) from channel edge to crack centerline; l c is characteristic length (m) defined in Equation 2; and Del-vmax is lower boundary curve (m) defined in Equation 3. [00108] To check for buckling instability of the extracted ice due to eccentric end-to-end compression between ice segments 216 driven along a ramp, and as generalized with ice segments 267, 268, 269 and 270 in Fig.40, which are driven by a drift force F over a 2D convex ramp 139, a buckling criterion ^ as derived in Appendix A is evaluated. As background, a related class of equations have in the past been proposed to evaluate ice riding up discontinuous ramps - not fair curves - though with the intent of inducing instability and pile-up in order to protect built property from encroaching ice (Cammaert and Muggeridge, 1988, pp.215-219). The ^ ^criterion on the other hand estimates the smallest radius of curvature of a fair-curve ramp that may put the ice at risk of buckling in order to prevent a rubble pile-up on a ramp for a given level ice characteristic length lc. Accordingly, the local radius of curvature and ice characteristic length should be constrained to satisfy: ^ ^ ^ = 4 (-2 ^sn ^ ± [4( ^sn ^) 2 +1] 1/2 ) > lc (Eqn.9) b r where: ^ is the ice sheet buckling criterion (-); r is radius of curvature (m) aligned with drift force F; ^ s is coefficient of static friction (-); n (-) is number of ice slab segments upstream of the potential buckling zone resisting sliding; ^ is safety factor (-) against out-of-plane buckling; b (-) is the minimum of A/l c or ^/4; A is length (m) along ramp vertex from point aligned with strip shearing away from level ice up to prow; and lc is characteristic length (m) as determined by Equation 2. Sample Calculations Using the First Preferred Embodiment [00109] As an example of Equations 1 through 9 applied to the first preferred embodiment depicted in the figures, consider a hypothetical deployment in Arctic pack ice with the following properties: ^ ^ ^= 1.00 m mean ice thickness; ^ ^ = 0.36 m standard deviation; z = 1.65 for 95 th and 2.33 for 99 th percentile ice thicknesses for z: -∞ to z; ^ ^f = 550 kPa (Weeks, 2010, p.270, Fig.10.33); ^ ^i = 910 kg/m 3 (sea ice, Table 2); ^ ^ = 1025 kg/m 3 (seawater, Table 2); E = 5.5 GPa (Weeks, 2010, p.269, Fig.10.32); and ^ ^ = 0.30, with mean level ice thickness ^ being the maximum mean anticipated for the region of deployment just prior to the onset of melt season. [00110] Based on Equation 7, the 95 th and 99 th percentile ice thicknesses are: h 95 = ^ + 1.65 ^ = 1.00 + 1.65(0.36) = 1.59 m; and h99 = ^ + 2.33 ^ = 1.00 + 2.33(0.36) = 1.84 m, where values for ^ and ^ ^were chosen for the convenience of a simple example from Shirasawa et al., 2009, Table 2, ice station 040521, sampled May 21, 2004 (roughly the start of melt season based on Francis et al., 2016, p.23, Fig.1.15, and thus approximately the maximum FY ice thickness), in an area south of Hanna Shoal, Chukchi Sea. [00111] The ramp inlet half-width R required to crack and extract on average 95% of the oncoming level ice is then: R = (h 95 ^ f /3 ^ i g) 1/2 = [(1.59)(550,000) / 3(910)(9.81)] 1/2 = 5.7 m [00112] Based on Equation 1, the offset distance D cr-vmax to achieve maximum floodwater volume and adequate immersion, assuming the level ice supporting the rafted ice is separated from the remaining semi-infinite ice plate by a crack at a distance D cr is: Dcr-vmax = ^ ^lc 1/2 = ^ ^15.0 1/2 = 12.2 m where: l c = [Eh 3 /12 ^g (1- ^ ^ 2 )] 1/4 l c = [5.5x10 9 (1.0 3 )/12(1025)(9.81)(1-0.30 2 )] 1/4 = 15.0 m (Note that ^ is used to calculate lc.) [00113] Likewise using Equation 3, the offset distance to maximize floodwater volume assuming the level ice behaves as an uncracked semi-infinite plate on elastic foundation is: D el-vmax ≅ R/2 + 10 sinh 3 [ ^(60 - l c )/120] cos 2 [ ^(60 - l c )/120] Del-vmax ≅ 5.7/2+10 sinh 3 [ ^(60 - 15.0 )/120] cos 2 [ ^(60 - 15.0 )/120] = 7.5 m [00114] Per Equation 8, the offset distance to a crack that may occur in the level ice parallel to the channel due the hogging moment from the strip of rafted ice load is roughly: Dcr ≅ ^ lc 3/4 + Del-vmax ≅ ^ (15.0 m) 3/4 + 7.5 = 31.4 m The preferred offset for maximal flooding and adequate immersion for preliminary design is then approximated with the mean of Equation 4: D = (Dcr-vmax + Del-vmax)/2 = (12.2 + 7.5)/2 = 9.9 m [00115] The preferred wedge width per Equation 5 is then: W ≅ D + R/2 = 9.9 + 5.7/2 = 12.8 m [00116] The preferred minimum wedge wall height is: U = 1.5( ^ + 2.33 ^) = 1.5(1.84) = 2.8 m [00117] Regarding ice sheet buckling potential, the smallest radius of curvature lies on the upper boundary 66 - estimated at 13.9 m and aligned with sine wave crest 103. The second smallest radius of curvature – 30 m – lies on the lower boundary curve 82 and is aligned with transition 78. Given the ramp surfaces are situated between these, possible paths 218 taken by the extracted ice pass over radii of curvature between 13.9 - 30 m. Thus, the quickest, and most conservative approach is to check the smallest radius against the ^ criterion: ^ ^ ^ = 4 (-2 ^ s n ^ ± [4( ^ s n ^) 2 +1] 1/2 ) > l c (Eqn.9) b r [00118] As noted in Appendix A, the maximum length of ice segments riding up the ramps is limited by two cases: [00119] Case 1) Failure of the extracted ice strip 216 with respect to weak axis bending (in combination with torsion, shear, compression, and other loads that for simplicity will be conservatively assumed as negligible). This weak axis failure length is assumed equal to that of a floating cantilever ice beam with an upward tip load provided by contact with the ramp (42), so that L = ^l c /4 or 11.8 m in this example (Hetényi, 1946, p.24; Daley, 2020, p.86). [00120] Case 2) Failure of the strip with respect to strong axis bending due to lateral prying by prow 56, which limits L to about a length of A - the inclined length of about 8 m along vertex 62 starting from a point on the vertex aligned with shear points 48, up to the base of the prow. If a strip of extracted ice is not broken in Case 1, the first it will be exposed to as it is lifted from the water, the strip should be broken in flexure against its strong axis as the prow pries it laterally, rotating it about its base near the notch formed at shear point 48. [00121] Since the shortest length of the two cases governs due to the constriction due to ramp geometry, variable b in Equation 9 may be determined such that: b = MIN(A/lc , ^/4) = MIN(8/15, ^/4) = 8/15 Substituting and solving for buckling criterion ^: ^ ^ ^ = 4 (-2 ^ s n ^ ± [4( ^ s n ^) 2 +1] 1/2 ) b where: ^s = 0.7 for ice on steel; n = 2 ice segments upstream on ramp; and ^ ^ = 1 (for simplicity). ^ ^ ^ ^ = 4 (-2 ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ± [4((0.7)(2)(1)) 2 +1] 1/2 ) (8/15) ^ ^ ^ = 7.5 (-2 ^ ^ ± 2.97) = 1.30 (positive root) Checking the smallest ramp radius of curvature of the platform against ^: l c = 15.0 m = 1.08 < ^ ^= 1.30 OK r 13.9 m [00122] In summary, the first preferred embodiment in comparison to the above derived performance criteria indicates that: R = 7.2 m provided meets and exceeds R95 = 5.9 m minimum; W = 13.5 m provided reasonably satisfies a preferred W = 12.8 m; U = 2.9 m provided satisfies a preferred U = 2.8 m; D ≅ W–R/2 =9.9 m provided satisfies D = 9.9 m; and lc/r = 1.08 provided satisfies the buckling criterion ^ = 1.3. Therefore, the first preferred embodiment meets this abridged list of preliminary design requirements. Further Platform Geometry Considerations [00123] In some embodiments, the symmetrical cantilevering double inclined-plane ice ramp 28 is a ruled surface bounded by a lower bounding curve (or directrix) 64 and an upper bounding curve (or directrix) 66 and rulings of the ruled surface are oriented about 90° transverse to the platform longitudinal axis, A x . [00124] The lower bounding curve 64 is formed by the intersection of a horizontally oriented surface 68 and a vertically oriented surface 70. The horizontally oriented surface 68 is extruded from a first curve 72 on the platform longitudinal axis, A x , having a forward portion 74 inclined at a slope 76 of about 10° over a length of about 14.4 m transitioning via an arc 78 having a radius of curvature of about 30 m and a cord of about 6.3 m to an aft portion 80 inclined at a slope of about negative 2° and having a length of about 6.8 m. [00125] The vertically oriented surface 70 is extruded from a second curve 82 in a horizontal plan. A forward portion 84 of the second curve 82 is a portion of an ellipse with a major axis of about 10.83 m and a minor axis of about 5.50 m, with major axis parallel to portion 86, and which transitions tangentially at the co-vertex to a mid-portion line segment 86 having a slope of about 30° over a length of about 15.72 m. The mid portion 86 transitions via a portion of an ellipse 88 having a major axis of about 6.21 m and a minor axis of about 4.24 m, with major axis parallel to portion 86 to an aft portion 90, which is a line segment having a slope of about 82° from the major axis of the portion of an ellipse and having a length of about 3.67 m. [00126] The upper bounding curve 66 is formed by an intersection of a frustrum 92 of a right circular cone with a sinusoidal surface 94. A top 96 of the frustrum 92 has a radius of about 25 m with a draft angle ^ ^ 98 of about 21° and is centered about 25 m off the platform longitudinal axis, Ax, and offset aft from the base of the vertex 62 by about 5.86 m. The sinusoidal surface 94 is extruded along the platform traverse axis A y from a curve 100 having an aft portion 102 defined by a sine wave z = -7cos(2πx/62) joined at the base of the wedge prow 101 to a forward portion 104 defined by a line coincident with the vertex 62 and having a slope ^ of about 21° tangentially joining the sine wave. [00127] In some embodiments, the included angle ^ between wedge walls (58 and 60) and the adjacent ramp surface (36 and 40) at every point along the wall length is less than about 85° and greater than about 75°. (Note that ^ may be controlled by altering the draft angle ^ ^of cone 92 and the transverse ramp angle ^.) In this condition, the ice 216 riding up the ramps (36 and 40) receives a downward clamping force component from the normal force exerted by the walls, which keeps the ice from lifting off the ramp and potentially riding up the wall, which can damage the ice including rubbling, and lead to a more disordered deposition of the extracted ice (which in some embodiments may be desired as described further below). As a minor point of geometry, pairs of ^ and ^ angles at each point along the wedge wall may for geometric simplicity be oriented to lie in planes parallel to the plane of the Ay-Az axes, and thus parallel to the lines forming the ruled surface; however, the downward clamping force component from the walls is related to the included angle normal to the wall surface, which is aligned along radius of the frustrum 92 and thus are not coplanar with Ay-Az. [00128] In some embodiments, the marine platform 12 has an aft haulout deck 107 atop the platform afterbody 108 and adjacent to an ice rudder 109. The ice rudder 109 has lateral and aft surfaces (110, 112) each of which are canted to maintain ice center of pressure in- plane with the level pack ice, at about 0.4h below the design waterline (DWL) 200, given that the centroid of the level pack ice is about h/2 from the top ice surface and that the bottom is about 0.9h below DWL. The aft haulout deck 107 with sides sloping down into the water provides a temporary haulout platform for semi-aquatic marine mammals including walrus 308, pagophilic phocid seals 300, and polar bears 310 when sea ice is of insufficient strength or distribution. In open water season the cantilever ramp system 28 may also serve as a haulout platform. [00129] A mooring assembly 118 is situated within and rises out of the rafting wedge 54, with the portion rising out of the wedge designated the sail 124. The mooring assembly 118 is configured to receive and retain a pier 120 securing the marine platform 12 to the seafloor 351 and allowing the marine platform 12 to weathervane 114 and heave 116 to accommodate changes in sea level, sea state, and any coincident weather and ice conditions. Preferably, the mooring assembly 118 has a rack-and-pinion jacking mechanism 126 disposed therein to lower the platform 12 onto the pier 120 at the deployment site, the pier 120 having been craned onto the sea floor with standard industry methods. The rack-and-pinion lifting mechanism 126 is substantially the same as the mechanisms found in jack-up rigs for raising or lowering the legs of a jack-up rig platform with the exception that the pinions 128 may be retracted from engaging the racks 127 when the platform is afloat, thus enabling the platform 12 to heave 116 and weathervane 114. The two racks 127 are located on opposite sides of the pier 120. The two groups of retractable pinions are located on the forward and aft portions of the mooring assembly 118 attached to the platform 12. [00130] In situations where the platform is desired to be jacked out of the water – e.g., for maintenance, relocation to another site, to wait until ice is sufficiently thick to raft, or to pause rafting – it may be aligned with the use of a tunnel thruster 130 or similar propulsion while adjusting the ballast, so that the pinions 128 may be reengaged into the racks 127. In some embodiments, the marine platform 12 may be provided with an ice shield 132 protecting the submerged portions of the pier 120 from ice impact. In open water season, the ice rudder 109 functions as a typical vane subject to the forces of currents. [00131] The orientation of the platform 12 such that the bow 18 always turns straight into the oncoming pack ice 208 is accomplished with the aid of weathervaning 114, i.e., yawing about the Az axis 360° clockwise or anticlockwise. In one embodiment, weathervaning may be achieved passively with an ice rudder 109 attached to the afterbody 108, which under ice drift forces normal to the Ax axis generate a moment about the Az axis that is always greater than the opposing moment generated by the forebody 29 assuming uniform level ice conditions. Passive weathervaning is a classic mechanism for orienting and is commonly used today in FPSO (floating production storage offloading) vessels, which typically have a turret mooring to weathervane about their station. As an alternative to passive weathervaning, a tunnel thruster 130 or similar propulsion situated in the afterbody108 may be used exclusively or in concert with the ice rudder. However, to keep ambient noise from the platform in the range of natural pack ice ambient noise, thrusters should be used extremely sparingly since vessel noise is a known disturbance, for example to Arctic cod, a keystone species (Ivanova et al., 2020, p.1). Ridge building events, as one example for context, can be quite noisy, and ridges in FY ice can comprise 6% of pack ice area (Dyer, 1988, p.517). [00132] The platform 12 has a bow leading edge which is beveled down at an angle ^ approximately 45° to a depth of about 4 m below the design waterline 200 for the purpose of breaking through ice pressure ridges that a platform operating in the Arctic will regularly encounter. The geometry is adapted from the truncated conical base of a typical Confederation Bridge pier, which has since the late 1990’s successfully broken FY sea ice ridges composed of 0.5 – 2 m thick rubble ice – approximately the same design ice thickness as that of the platform (Brown, 2006, Conclusions and Fig.5). Production of Habitat for Snow Lair and Ice Lair Making [00133] The preferred embodiment of the platform 12 produces some amount of doubly rafted ice slabs (228 on top of 226 on top of level ice 210) as well as canted-rafted slabs (230) partly supported on a flat rafted slab 226 and partly on level ice 210. These and any other rafted configurations, including singly rafted slabs 226, induce snow drifting given sufficient ice thickness to obstruct the wind, snowfall and wind speed. The resultant drifts enhance snow lair making opportunities 304 for ringed seals 303 and may provide shelter for the other pagophilic phocids 300 that do not make lairs. [00134] In some embodiments, the aforementioned doubly rafted and canted-rafted ice configurations may be produced more frequently by setting the wedge wall angle ^ to greater than 90°. In this configuration, the ice 216 riding up the ramp 28 does not receive a downward clamping force from the wedge walls (58 and 60) and will tend to ride up the walls and fall back onto itself (or onto the top of wedge 54 if the walls are not high enough). As noted, an acute wall angle favors better control by applying a small downward force component that keeps the ice from lifting off the ramps as they are force laterally by the wedge walls, resulting in a higher level of singly rafted ice 226 with a greater chance of freeze-bonding 234 while lying flat in floodwater 232 on the level ice 210. Conversely, a wall angle ^ that is too acute may lead to binding of the ice 216 and may result in jamming and excessive damage to the ice. The range of void sizes provided by the various rafted ice configurations may provide some immediate shelter for seals 300 and potentially other species including seabirds and sea ducks (e.g., 314, 316), polar bears 310 and Arctic fox. [00135] In general, the wedge wall angle ^ must be adjusted to the habitat restoration needs of the focal species selected and the ice conditions available. As an example, singly rafted and freeze-bonded ice offers a higher habitat restoration potential for large marine mammals as they attempt to haulout and rest. Walrus (308 and 309) require some of the thickest ice, on the order of at least 60 cm as noted, and they obviously require no lairs. In some embodiments, the wedge walls may be actuated so that the angle ^ may be varied according to rafted ice configuration required, level ice conditions, season or other requirement. [00136] As warming temperatures, less snowfall and more frequent rains further hamper the production and maintenance of subnivean lairs by ringed seals 303 (Hezel et al., 2012; Stirling and Smith, 2004, pp.59 and 65; Ferguson et al., 2005, p.1), ice lair habitat produced by the platform 12 may provide some alternative to the increasing levels of exposure of adults and pups 303 to wind 261 and rain 266. While arguably not as thermally insulating as an intact subnivean lair 304, an ice lair’s (306) ‘canopy of solid ice’ (230) may provide significant protection from predators such as polar bears 310 that readily break through subnivean lairs from above (McLaren, 1958, pp.56-57). Fay (1974, p.394) also notes that the young of the spotted seal and harp seal (300) are known to take refuge among ice blocks of naturally occurring pressure ridges. Thus, there is natural attraction for pagophilic phocids to take refuge around or within dynamically deformed sea ice. However, unlike fully enclosed voids that may at times be provided by pressure ridges (which phocids may then repurpose into snow or ice lairs), ice lairs constructed with the platform are often open on one or two sides. Thus, seal pups 300 within may not be fully protected from predation by similarly small Arctic fox, a common predator. Increased Durability with Extended Range [00137] In addition to improvement in structural capacity afforded by the rafted ice of the platform 12, a more durable ice habitat is created due to the thicker ice composite’s capacity to absorb more heat, and to the reduced surface-to-volume ratio of the rafted and freeze- bonded assembly (226 on 210 during freeze up, and remnants 248 and 250 during break-up and melt season). While not incorporating variables of surface area or volume, a simple empirical formula for comparison of sea ice durability as derived by Bilello (1980, p.30) with original variable names adapted to this disclosure is as follows: hf = hi – a (TDD) (Eqn.10) where: h f is final sea ice thickness (m) after melting due to accumulated thawing degree days (TDD); h i is initial ice thickness (m) prior to melting; TDD is accumulated thawing degree days (°C-days) based on air temperature above 0 °C; and a is an empirically derived melt rate constant (m/°C-days). [00138] Though derived from floating landfast ice rather than drifting pack (but including observations from stations in northwest Alaska on the Chukchi coast), Equation 10 provides a first approximation and empirical check relating ice thickness to thawing degree days and via a graph of TDD/day vs ordinal (or Julian) days, can in turn be related to days of duration. As a caveat, Bilello notes that Equation 10 does not include effects of wind, current, waves, solar insolation, or advected warm water, which may at times be significant, but for a comparison of rafted versus unrafted ice floes which must be based on similar climatic exposure to have meaning, they are assumed to have no differentiating effect. Equation 10 is also being applied here to individual rafted and unrafted ice floes that may be more exposed to waves, heat, and other stresses than they would in the fully developed level ice fields that Bilello started with. However, these fully developed ice fields would necessarily pass through a state of break up, dispersion and complete melting, so the melting regimes of the individual rafted vs unrafted floes does reside within the scope of Bilello’s data on which Equation 10 is based. [00139] Estimated TDD for the entire melt season in the Beaufort Sea is assumed to be about 440 °C-days, which is quite close to the 460 °C-days in the Chukchi based on data collected from 1991-2013 (Francis et al., 2016, p.11 (Fig.1.4) and p.23 (Fig.1.15)). For an approximate melt rate, Bilello suggests (in 1980) a value of a = 0.93 cm/TDD. Since the Beaufort and Chukchi have similar total melt season TDD values, this comparison will use the more stringent Chukchi value. [00140] Solving Equation 10 for the number of TDD that can be absorbed by singly rafted pack ice (two layers) of maximum thickness available in the Chukchi Sea and permitting it to melt down to about 0.60 m - the aforementioned limit estimated to support adult walrus - the initial thickness h i required is about: hi = hf + a (TDD) = 0.60 m + (0.0093 m/TDD)(460 TDD) = 4.9 m [00141] This would require rafting and freeze-bonding of FY level pack that is approximately 2.4 m thick (4.9/2), which is about 0.4 m over the maximum still available in the Chukchi (or Beaufort; ISO19906, 2019, p.424: Table B.7-4; p.431: Table B.8-4). Alternatively, double rafting would be required, i.e., 3 layers of pack ice, each about 1.7 m thick, which may be available in some areas. Using the thickest ice available, near the end of winter, the estimated durability of singly rafted 2.0 m level pack in the Chukchi is approximately: TDD = (hi - hf)/a = [2(2.0 m) – 0.60]/0.0093 = 365 °C-days [00142] For comparison, the estimated durability of unrafted ice is: hf = hi – a (TDD) TDD = (hi - hf)/a = [2.0 m – 0.60]/0.0093 = 151 °C-days [00143] Translating TDD into approximate days of duration with the aid of Fig.41, the estimated time span of the total 460 °C-days accumulation during summer in the Chukchi Sea based on 1991-2013 data from Francis et al. (2016) is roughly from June 1 (ordinal date 152) to September 22 (ordinal date 266) – or about 114 days (170 to 172 in Fig.41). Note that the area under the curve and above the 0 TDD/day horizontal line (173) is equal to the total 460 TDD annual accumulation in the Chukchi Sea region. [00144] In comparison, the 365 TDD heat absorbing capacity of singly rafted 2 m ice melting down to about 0.6 m is about 81 days duration – lasting to about August 21 (i.e., 233 – 152 ordinal days; 180 and 181 in Fig.41). For the 151 TDD capacity estimated for the 2 m thick unrafted ice melting down to 0.6 m (177 and 178 in Fig.41), its duration is about 42 days, lasting to about July 13 (194 – 152). This implies walrus hauled out on remnant pack at Hanna Shoal, would need to swim for shore roughly in mid-July, which appears to align with a mass haulout reported on July 25 th at Point Lay, Alaska in 2019 (Rosen, 2019). [00145] As another empirical check, forty-two days of melting from 2 down to 0.6 m roughly aligns with an observation by Pounder (1965, p.143) that it is possible for 2-meter thick Arctic sea ice to completely melt within 6 weeks, though if ‘completely’ is to be taken literally as zero ice remaining, Equation 10 predicts nearly 8 weeks, though 6 may be plausible by altering the melt rate, which is chosen here for comparison. Based on the above, it is suggested that singly rafted 2-meter ice (two layers) may last about 81/42 or about twice as long as unrafted. Notice that if the TDD/day rate were constant rather than climbing nearly to the end of August – around ordinal day 235 – the rafted ice would perform still better. [00146] While the prospect of an additional 5 or 6 weeks of pack ice habitat remnants may seem modest, in the context of losing about 10.4 days per decade of freeze-up season in the Chukchi and Beaufort Seas (Markus et al., 2009, pp.10-11), this may be significant enough to locally counter decline, even if only in local patches, which may be enough for minimum viable populations to survive for some extended time. [00147] Assuming the above calculations and reasoning provide an initial indication for rafting and freeze-bonding to improve endurance of ice floes, it follows that there will be an extension of drift range when compared to un-rafted ice, and broader spatial and temporal distribution of the ice, fauna and flora on and within. The eventual melting of the ice, and transfer of much of these organisms (including 330 to 342) and accompanying pack ice nutrients into the water column 204 may then be dispersed in a pattern more consistent with conditions prior to the recent and projected effects of climate change. SECOND PREFERRED EMBODIMENT [00148] Referring to Fig.15, there is shown a flow diagram for a preferred embodiment of a method for restoring a sea ice habitat for semi-aquatic marine mammals and the other aforementioned species, generally designated 400 and hereafter referred to as the “habitat restoration method, 400 in accordance with the present invention. [00149] As a first step, the habitat restoration method 400 has a mooring step 410 in which a sea ice habitat restoration platform 10 is moored in a marine ecosphere having pack ice. In a preferred embodiment of the habitat restoration method 400, the sea ice habitat restoration platform that is moored in the marine ecosphere is the sea ice habitat restoration platform 10 described above. [00150] In an extracting step 412 after the mooring step 410, a sea ice slab 216 is extracted from the drifting pack ice 208. In a preferred embodiment of the habitat restoration method 400, the pack ice slab 216 is extracted using the forward ice-ramp portion 42 of the sea ice habitat restoration platform 12. [00151] In a cracking step 414 a bending moment is applied to the extracted sea ice slab 216 to crack the sea ice slab. In a preferred embodiment of the habitat restoration method 400, the hogging step 414 cracks the extracted sea ice slab under its own weight with the vertex 62 of the forward ice-ramp portions 42 of the sea ice habitat restoration platform 12 as the extracted pack ice slab longitudinally traverses the forward ice-ramp portions 42 at a ramp velocity about equal to the drift speed v of the oncoming drifting pack ice 208. [00152] In a channel forming step 413, occurring simultaneously with the extracting step 412, cracking step 414, and deposition step 418, a micro polynya channel is formed in the marine ecosphere aft of the habitat restoration platform 12. The micro polynya channel 236 is formed by passing pack ice 210 having a free edge 220 forming a bounding edge of the channel. In a preferred embodiment, the micro polynya channel has a port channel free edge 220 spaced from a starboard channel free edge 220 a channel width apart. In some embodiments, the channel width corresponds to the beam 14 of the marine platform 12. [00153] In a depositing step 416, the extracted sea ice slab 216 is deposited as rafted pack ice 226 on passing pack ice 210 setback from the free edge 220 of the pack ice to form a terraced ice edge 229 facilitating semi-aquatic marine mammal haulout and maximizing floodwater 232 volume. In a preferred embodiment of the depositing step 416, the extracted sea ice slab 216 is deposited as rafted pack ice (226 with freeze-bonding 234; doubly rafted 228 without freeze-bonding; and canted-rafted 230 with partial freeze-bonding) on passing pack ice 210 setback from the free edge 220 of the pack ice aft ice-ramp portion outlet zones 50 of the double inclined-plane ice ramp 28 of the marine platform 12. In the case where one of the focal species for the restoration program includes ringed seals 303 and improved lair- making opportunities is one of the habitat restoration goals, the included angle ^ may be set > 90°. If the case where the focal species is walrus, then ^ may be set to < 85° and greater than about 75°. [00154] Freeze-bonding 234 of the rafted pack ice on passing pack ice provides a structurally enhanced, tiered icescape amenable to semi-aquatic marine mammal haulout onto the icescape with the passage of sufficient freezing degree days after the deposition of the rafted pack ice. If freeze-bonding 234 does not substantially take place, structural enhancement still occurs, though to a lesser degree than that provided by the composite action of a freeze-bonded assembly. Flooding 232 of the level ice 210 due to rafting surcharge loads also provides a method of new ice habitat production (239, 240 and up through FY or MY ice limits for the region) given sufficient freezing degree days (FDD) thereafter. [00155] The foregoing detailed description of the invention has been disclosed with reference to specific embodiments. However, the disclosure is not intended to be exhaustive or to limit the invention to the precise forms disclosed. Those skilled in the art will appreciate that changes could be made to the embodiments described above without departing from the broad inventive concept thereof. Therefore, the disclosure is intended to cover modifications within the spirit and scope of the present invention as defined by the appended claims.
APPENDIX A. DERIVATION OF ICE SEGMENT BUCKLING CRITERION ^ Introduction [00156] Preliminary ice tank testing by this author demonstrates that the low slope ramps of the first preferred embodiment that produce the least damage to the extracted ice in the rafting process also tend to be more liable to rubble pileups, which may be triggered by buckling of ice segments off of the ramp surfaces. A simple method to quantify ramp curvature with respect to a critical buckling load induced has been found helpful in troubleshooting or assessing if a design is developed enough to be worth the time and cost of a scale model for tank testing. [00157] To this end a criterion ^ ^to estimate onset of ice segment buckling is defined where the upward out-of-plane component F y of drift force F applied to an ice segment moving over a 2D convex surface is resisted by the sum of frictional forces Fs induced by upstream ice. As idealized in the free body diagram of Fig.40 and the accompanying equations below, as the radius of curvature r decreases from infinity - that of a plane, the out- of-plane buckling force Fy increases to the point where the self-weight of the ice segment (free body 269) no longer resists it and a pair of segments - 268 and 269 - lift off the surface (dashed) rotating about opposing hinge points of ice segments still in contact with ramp 139. [00158] The ratio of characteristic length l c to radius of curvature r measured tangent to the direction of ride-up (for example, along a path 218 for any portion of a ramp in the first preferred embodiment) must be less than a maximum stable ratio established by ^ such that: ^ ^ ^ = 4 (-2 ^ s n ^ ± [4( ^ s n ^) 2 + 1] 1/2 ) > l c (Eqn.9) b r where: ^ is the ice sheet buckling criterion (-); r is radius of curvature (m) aligned with drift force F; ^s is coefficient of static friction (-); n (-) is number of ice slab segments upstream of the potential buckling zone resisting sliding; ^ is safety factor (-) against out-of-plane buckling; b (-) is the minimum of A/l c or ^/4; A is length (m) along ramp vertex from point aligned with strip shearing away from level ice up to prow; and lc is characteristic length (m) as determined by Equation 2. Assumptions [00159] The following assumptions in the free body diagram will tend to hold true for full- scale sea ice and be less true for models in which the scale factor ^ is greater than 40 (i.e., very small models relative to full-scale prototypes which are generally avoided by ice tank test facilities; See Tatinclaux, 1988, p.11): 1. Ice flexural rigidity EI is sufficiently high such that any bending of ice segments under their own weight to the point that they begin to conform to the convex curve may be neglected. 2. Surface tension (Van der Waals forces) between the ice segments and ramp surface are negligible. The higher the scale factor ^ (the smaller the model), the more surface tension of the liquid phase in which the ice floats may play a role in the segments clinging to the curved surface. 3. Loading rate is quasistatic. Maximum Ice Segment Length [00160] The maximum length L of extracted ice segments (267 to 270) riding up the ramp 139 is estimated to be the smaller length resulting from two load cases that crack the strip transverse to its direction of ride-up: [00161] Case 1) Failure of the extracted ice strip with respect to weak axis bending (in combination with torsion, shear, compression, and other loads that will be conservatively assumed as negligible). This weak axis failure length will be assumed equal to that of a floating cantilever ice beam with an upward tip load provided by contact with the ramp (e.g., 42 or further up the ramp in the first preferred embodiment), which is equal to about ^l c /4 (Hetényi, 1946, p.24; Daley, 2020, p.86). [00162] Case 2) Failure of the strip with respect to strong axis bending due to lateral prying by a prow or wedge wall, which results in a length L of about A - the inclined length of the ramp starting from a point on the vertex aligned with shear points (48 in the first preferred embodiment), up to the base of the prow or wedge wall first contacted. [00163] If a strip of extracted ice is not broken in Case 1, the first it will be exposed to as it is lifted from the water, the strip should be broken in flexure against its strong axis as the prow pries it laterally, rotating it about its base near the notch formed at the shear point. Failure may also occur at some other stress riser along its length such as a crack or other discontinuity, but then the segment length L will be less than A, and pose less of a buckling risk. Thus, ice segment maximum length L is defined such that: L ≅ b l c = MIN(A, ^l c /4) where: L is maximum length (m) of a typical ice segment measured along ride-up path of a ramp 139 (path 218 in the first preferred embodiment); MIN() is a function that returns the lowest input value; b is a constant (-) as determined below; A is length along the ramp from point of strip shearing away from level ice to prow (m); lc is characteristic length (m) as defined in Equation 2; Variable b may also be expressed directly as: b = MIN(A/l c , ^/4) Static Analysis [00164] For forces in the x-direction, using the xy coordinate plane of Fig.40, the horizontal component Fx of drift force F is assumed just equal to the resisting force Fs of the ice segments upstream on the ramp. The resisting force is the sum of the products of the coefficient of static friction and the normal force of each segment. These two opposing horizontal components are then: Fx = F cos2 ^ and Fs = n ^sN = n ^s ^ig Ldh where: ^ ^is an angle (radians) from ice segment midpoint to edge n is number of ice slab segments upstream of the potential buckling zone that resist sliding; ^s is coefficient of static friction (-); ρi is sea ice density (kg/m 3 ); g is acceleration of gravity (m/s 2 ); L is ice segment length (m) defined above; d is segment depth (m) normal to section, equal to 1; and h is ice segment thickness (m); The ice segment weight w is used as the normal force N since the portion of the ramp in the diagram on which it bears is level. The normal force for any given curve may be derived to suit a particular condition, though assuming the upstream curve to be level is a conservative, simple estimate suggested for a preliminary calculation. Setting the horizontal drift force Fx equal to the frictional resistance Fs gives: F cos2 ^ ^= n ^s ^ig Ldh For static equilibrium in the y-direction, vertical force component Fy is assumed just equal and opposite to the tributary self-weight of ice slab 269 that it supports, w/2, such that: F sin2 ^ ^= ^ig Ldh 2 where vertical component of drift force Fy and slab weight w are: Fy = F sin2 ^ ^ ^ ^ ^ ^and ^ ^ ^ ^w = ^ig Ldh ^ To provide a factor of safety against uplift of slab 269, its weight is divided by ^ which has some value greater than 1 as selected by the designer such that: W = ^ig Ldh 2 ^ Dividing the x-direction equality by the y-direction equality yields: F sin2 ^ = ^ i g Ldh/2 ^ ^ F cos2 ^ ^ s n ^ ^ig Ldh Simplifying yields: tan2 ^ = 1/2 ^ s n ^ ^ Substituting 1/ ^ s n ^ ^for ^tan2 ^ into ^the double-angle identity yields: tan2 ^ = 2 tan ^ ^ (1 - tan 2 ^) 1 = 2 tan ^ ^ 2 ^sn ^ (1 - tan 2 ^) Given that tan ^ ^ ^ L/2 based on the free body diagram, and substituting L/2r for tan ^ ^gives ^ r 1 = 2 (L/2r) ^ 2 ^ s n ^ 1- (L/2r) 2 Cross multiplying: 1-(L/2r) 2 = 4 ^ s n ^ (L/2r) Rearranging into quadratic form: (L/2r) 2 + ^ ^ ^ ^sn ^) (L/2r) - 1 = 0 Letting x = L/2r: x 2 + ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^sn ^) x - 1 = 0 Solving for x such that x = (-b ± (b 2 - 4ac) 1/2 )/2a: x = -4 ^ s n ^ ± [(4 ^ s n ^) 2 - 4(1)(-1)] 1/2 2(1) x = -4 ^ s n ^ ± [16( ^ s n ^ ^ 2 + 4] 1/2 2 Substituting L/2r back into the solution for x: L = -4 ^ s n ^ ± [16( ^ s n ^ ^ 2 + 4] 1/2 2r 2 Substituting the ice segment length based on characteristic length where L = bl c : blc = -4 ^sn ^ ± [16( ^sn ^) 2 + 4] 1/2 2r 2 Isolating r and lc as a ratio yields: lc = (2/b)(-4 ^sn ^ ± [16( ^sn ^) 2 + 4] 1/2 ) r Substituting the definition of characteristic length and introducing scale factor ^ ^into all dimensions and elastic modulus to ensure similitude is maintained across scales (Tatinclaux, 1988, p.5; Note that coefficient of friction is not scaled) yields: [(E/ ^)(h 3 / ^ 3 )/12 ^g(1 - ^ 2 )] 1/4 = (2/b)(‐4 ^ s n ^ ± [16( ^ s n ^) 2 + 4] 1/2 ) (r/ ^ ^ ^ ^ (1/ ^ ^ ) 1/4 [Eh 3 /12 ^g(1 - ^ 2 )] 1/4 = (2/b)(‐4 ^ s n ^ ± [16( ^ s n ^) 2 + 4] 1/2 ) (1/ ^) r Thus, ^ ^ ^ ^ at top and bottom cancel indicating similitude is maintained. Setting ^ equal to the righthand side and requiring that it be greater than the ratio of l c /r ensures buckling resistance with a factor of safety ^: ^ = 4 (‐2 ^ s n ^ ± [4( ^ s n ^) 2 + 1] 1/2 ) > lc Q.E.D. b r
REFERENCE SIGNS LIST PLATFORM - SURFACE GEOMETRY AND MOVEMENT 0-199 [00165] 10. Sea ice habitat restoration platform [00166] 12. Marine platform [00167] 14. Beam [00168] 18. Bow [00169] 20. Stern [00170] 22. Longitudinal centerline [00171] 24. Port side [00172] 26. Starboard side [00173] 28. Double-inclined-plane ice ramp [00174] 29. Forebody [00175] 30. Port ice-ramp portion [00176] 32. Starboard ice-ramp portion [00177] 34. Forward port ice-ramp portion [00178] 36. Aft port ice-ramp portion [00179] 38. Forward starboard ice-ramp portion [00180] 40. Aft starboard ice-ramp portion [00181] 42. Forward ice-ramp portion [00182] 44. Aft ice-ramp portion [00183] 46. Forward ice-ramp portion inlet [00184] 48. Forward ice-ramp portion shearing zones [00185] 50. Aft ice-ramp portion outlet zones [00186] 52. Bow centerline [00187] 54. Rafting wedge [00188] 56. Rafting wedge prow [00189] 58. Port rafting wedge wall [00190] 59. Top curve of port rafting wedge wall [00191] 60. Starboard rafting wedge wall [00192] 61. Top curve of starboard rafting wedge wall [00193] 62. Vertex [00194] 64. Lower bounding curve (or directrix) [00195] 66. Upper bounding curve (or directrix) [00196] 68. Horizontally oriented surface [00197] 70. Vertically oriented surface [00198] 72. First curve from which horizontally oriented surface is extruded [00199] 74. Forward portion of first curve [00200] 76. Slope of forward portion of first curve [00201] 78. Arc of first curve [00202] 80. Aft portion of first curve [00203] 82. Second curve from which vertical oriented surface is extruded [00204] 84. First portion of second curve [00205] 86. Mid portion of second curve [00206] 88. Arc of second curve [00207] 90. Aft portion of second curve [00208] 92. Frustrum of right circular cone [00209] 94. Sinusoidal surface [00210] 96. Top of frustrum 92 [00211] 98. Draft angle of frustrum 92 [00212] 100. Curve from which sinusoidal surface 94 is extruded [00213] 101. Base of wedge wall prow joining curves 102 and 104 [00214] 102. Aft portion of curve 100 [00215] 103. Peak of sine curve 102 [00216] 104. Forward portion of curve 100 [00217] 105. Aft wedge prow [00218] 106. Aft wedge walls [00219] 107. Aft haulout deck [00220] 108. Afterbody [00221] 109. Ice rudder [00222] 110. Lateral surface of ice rudder [00223] 112. Aft surface of ice rudder [00224] 114. Weathervane – yaw in either direction around Az axis [00225] 116. Heave - rising and falling with surrounding waves along A z axis [00226] 118. Mooring assembly [00227] 120. Pier [00228] 122. Pier canopy [00229] 124. Sail [00230] 126. Rack-and-pinion jacking mechanism [00231] 127. Rack anchored to pier 120 [00232] 128. Retractable pinions [00233] 130. Tunnel thruster [00234] 132. Ice shield [00235] 134. Beveled down ramp inlet for pressure ridge breaking [00236] 136. Filleted edge between pressure ridge breaking surface 134 and forward ice-ramp portion inlet 42 [00237] 138. Bow stem [00238] 139. Generalized ramp section with 2D convex curvature of radius r [00239] 160. Curve of thawing degree days per day (TDD/day) for Chukchi Sea [00240] 170. Approximate start of Chukchi Sea melt season (ordinal day) [00241] 172. Approximate end of Chukchi Sea melt season (ordinal day) [00242] 173. Horizontal line between thawing degree days/day (above line) and freezing degree days/day (below), crossing the y-axis of Fig.41 at 0 TDD/day. OCEAN, ICE AND ATMOSPHERE 200-299 [00243] 200. Design waterline (DWL) of platform [00244] 201. Waterline (WL) of floating objects other than the platform [00245] 202. Sea surface [00246] 204. Water column [00247] 205. Ice-water interface [00248] 206. Design wave for design sea state [00249] 208. Pack ice drifting towards platform [00250] 210. Pack ice drifted by either side of the platform [00251] 212. Rubble ice – randomly piled ice slabs from mechanical deformation [00252] 214. Pack ice drift direction [00253] 216. Pack ice riding up ramp impelled by pack ice drift pressure [00254] 218. Pack ice ride-up and traversal paths along and off of ramp surfaces [00255] 220. Free edge of pack ice micro polynya created by rafting [00256] 221. Refrozen edge of pack ice channel downdrift of micro polynya [00257] 222. Ice flexure crack from hogging moment at ramp vertex 62 [00258] 224. Ice slab sliding off ramp - either driven by pack ice drift force, sliding under gravity, or combination thereof [00259] 226. Pack ice slab rafted flat onto level ice [00260] 228. Top ice slab of doubly rafted ice slabs [00261] 229. Terraced edge formed by rafted ice set back from channel edge [00262] 230. Canted-rafted ice slab partly supported on flat rafted slab and partly on level ice [00263] 232. Floodwater due to submersion of level ice under rafted ice strip load [00264] 234. Frozen floodwater freeze-bonding of rafted slab to level ice [00265] 235. Pack ice disturbance corridor [00266] 236. Micro polynya channel [00267] 237. Ice flexure crack parallel to channel due to rafted ice load on level ice [00268] 238. Ocean-atmosphere exchange: heat flux and frost smoke [00269] 239. New ice – newly formed sea ice crystals including frazil, nilas, grease ice less than 10 cm [00270] 240. Young ice – newly formed sea ice between 10-30 cm; successor of new ice [00271] 242. Consolidated frazil ice – first layer to form, randomly oriented crystals [00272] 244. Columnar, congelation ice – second layer to form below frazil [00273] 245. Brine channels [00274] 246. Skeletal ice – leading edge of bottom ice growth [00275] 248. Melting rafted ice floe (in spring and summer) - remnant of pack ice disturbance corridor from winter [00276] 250. Rotting rafted ice floe remnant (248 in advanced state of melting) [00277] 251. Brine flux into the water column from sea ice formation [00278] 252. Melt pond [00279] 259. Snow transformed into ice by rafting, immersion and freeze-bonding [00280] 260. Snow, which may or may not overlay the sea ice [00281] 261. Wind streamline [00282] 262. Windward snow drift [00283] 264. Leeward snow drift [00284] 265. Snow drift contour line (heights of equal elevation) [00285] 266. Rain [00286] 267. Idealized ice slab segment of thickness h and length L [00287] 268. Idealized ice slab segment about to buckle off ramp [00288] 269. Idealized ice slab segment (the free body) about to buckle off ramp with hinging opposite to 268 [00289] 270. Idealized ice slab segment exerting resistive force Fs due to static friction HABITAT AND PACK ICE COMMUNITIES 300-399 [00290] 300. Pagophilic phocid seal(s) hauled out, including: bearded seal (Erignathus barbatus) – ice-obligate ringed seal (Phoca hispada) – ice-obligate harp seal (Pagophilus groenlandicus) – ice-associated hooded seal (Cystophora cristata) – ice-associated ribbon seal (Histriophoca fasciata) – ice-associated spotted seal (Phoca largha) – ice-associated All prey on Arctic cod (Boreogadus saida), at times capelin (Mallotus villosus), other fishes, and crustaceans [00291] 301. Pagophilic phocid species swimming [00292] 302. Breathing hole of pagophilic phocid [00293] 303. Ringed seal (Phoca hispada) – constructs subnivean lairs for shelter, birthing and nursing when snow is available [00294] 304. Subnivean lair constructed by ringed seal and pup [00295] 306. Ice lair of pagophilic phocid – with or without snow drifting [00296] 307. Walrus (Odobenus rosmarus) swimming – ice-obligate, key predator of bivalve clams [00297] 308. Walrus hauled out [00298] 309. Walrus hauling out on or diving from pack ice [00299] 310. Polar bear (Ursus maritimus) – ice-obligate, key predator of pagophilic phocid seals, especially ringed seals, bearded seals, occasionally walrus or carrion [00300] 314. Spectacled eider (Somateria fischeri) – ice-obligate sea duck that dives to 70 m for mollusks and other benthic prey; also forage at bottom ice [00301] 316. Black guillemot (Cepphus grylle mandtii) – ice-obligate seabird [00302] 317. Ivory gull (Phagophila eburnea) – ice-obligate seabird [00303] 318. Arctic cod (Boreogadus saida) – ice-associated keystone species [00304] 330. Top ice community – including flagellates, ice algae, bacteria, virus (Arrigo et al., 2010, p.284-285; van Leeuwe et al., 2018, Fig.4) [00305] 331. Top ice community transformed by rafting into an internal community [00306] 332. Internal ice community – generally associated with frazil ice layer near waterline, including sea ice algae, flagellates, bacteria, virus (Arrigo et al., 2010, p.284-285; van Leeuwe et al., 2018, Fig.4) [00307] 334. Bottom ice community – including sea ice algae (predominately pennate diatoms by spring), ciliates, flagellates, bacteria, virus, fungi, nematodes, rotifers, flatworms, polychaetes, nauplii, amphipods, harpacticoid copepods (van Leeuwe et al., 2018, Fig.4; Lund-Hansen et al., 2020, p.4) [00308] 335. Bottom ice community transformed by rafting into internal community [00309] 336. Strand community – including colonial diatoms such as Melosira arctica (Arrigo et al., 2010, p.291) [00310] 337. Sea ice algae especially diatoms of genera Nitzschia, Fragilariopsis and Navicula (Arrigo et al., 2010, p.290) [00311] 338. Sea ice copepods (typically 0.5-2mm) that may graze sea-ice algae - including Cyclopina gracilis, Cyclopina schneideri, Harpacticus spp., Halectinosoma spp., Tisbe furcate. Cyclopina schneideri and Tisbe furcata may migrate to the benthos during open water season [00312] 339. Sea ice amphipods including Onisimus nanseni, Gammarus wilkitzkii and Apherusa glacialis – key prey of Arctic cod [00313] 340. Sea ice nematodes including Theristov melnikovi [00314] 342. Tuuli's hydroid (Sympagohydra tuuli) [00315] 350. Sea ice-derived organic carbon flux, enhanced with rafting and new ice growth – a component of marine snow – flakelike aggregates of detritus composed of decaying organisms or fecal matter drifting to the seafloor. It is a transfer of nutrients produced in the photic zone to the relatively aphotic benthos, and is part of the biological carbon pump that sustains the benthos, which in turn sustains walrus, ice-obligate diving seabirds, gray whales and other species. [00316] 351. Seafloor of the Arctic continental shelves [00317] 352. Benthos – community of continental shelf organisms broadly categorized as epifauna and infauna [00318] 354. Epifauna – benthic organisms living on or moving over the seafloor [00319] 356. Infauna – benthic organisms living within the upper layer of the seafloor [00320] 358. Brittle star species including Ophiura sarsii and Ophiocten sericeum [00321] 360. Common sunstar (Crossaster papposus) [00322] 362. Bivalve mollusk species including blunt gapper (Mya truncata), Greenland smooth cockle (Serrepes groenlandica), Arctic Hiatella (Hiatella arctica), Chalky macoma (Macoma calcarea); all circumpolar in distribution and typical are prey of walrus (Fay, 1982) [00323] 364. Burrowing polychaete including Phyllodoce groenlandica [00324] 366. Oligochaete worm [00325] 368. Sea cucumber including orange-footed sea cucumber (Cucumaria frondose) [00326] 370. Benthic crab species including Arctic lyre crab (Hyas coarctatus), Snow crab (Chionoecetes opilio), which are occasional prey of pagophilic phocids and walrus (molted forms) [00327] 372. Sieve kelp species including Agarum cribrosum [00328] 374. Benthic amphipods including Eusirus holmii (which may also reside in sea ice and the water column), and Gammarus setosus (benthic only). All are prey of benthivorous seabirds, sea ducks and gray whales. [00329] 375. Benthic fishes including Arctic staghorn sculpin (Gymnocanthus tricuspis), Hamecon (Artediellus scaber) [00330] 376. Bioturbation of benthos and seafloor sediments RAFTING METHODS 400-499 [00331] 400. Habitat restoration method [00332] 410. Mooring step [00333] 412. Extracting step [00334] 413. Micro polynya channel forming step [00335] 414. Cracking step [00336] 416. Depositing step
MATHEMATICAL SYMBOLS LIST [00337] a Sea ice melt rate constant (m/°C-days) [00338] A Maximum extracted ice segment length (m) based on ramp geometry [00339] A x Longitudinal axis of platform [00340] Ay Transverse axis of platform [00341] A z Vertical axis of platform [00342] b Constant real number (-) [00343] B Beam of platform (m) [00344] d Depth of ice segment (m), normal to section plane [00345] D min Offset distance (m) from centerline of rafted ice to channel edge where rafted ice is deposited up to the channel edge [00346] D cr Offset distance (m) of centerline to crack in pack ice due to hogging moment induced by linear rafted ice load to channel edge [00347] D cr-vmax Offset distance (m) of rafted ice centerline to channel edge for the fully cracked condition producing maximum floodwater volume and adequate immersion depth [00348] Del-vmax Offset distance (m) of rafted ice centerline to channel edge for the uncracked, elastic condition producing maximum floodwater volume and adequate immersion [00349] D Preferred offset distance (m) of rafted ice centerline from free edge of channel [00350] E Ice elastic modulus (Pa) [00351] F 2D force vector (kN) [00352] Fs 2D force vector (kN) equal to the product of the coefficient of static friction ^ s (-) and normal force (kN) due to ice self-weight [00353] FDD Freezing degree days (°C-days) [00354] g Acceleration of gravity (m/s 2 ) [00355] h Nominal level pack ice thickness (m) [00356] hf Final sea ice thickness (m) after melting [00357] h i Initial ice thickness (m) prior to melting [00358] hpctl Ice thickness (m) of a specified percentile rank [00359] H Height (m) from design waterline to bottom of cantilever ramp tip [00360] H s Mean height (m) of pack ice pressure ridge for area of deployment [00361] lc Level sea ice characteristic length (m) [00362] L Length (m) of idealized ice slab segment riding up or rafting from ramp [00363] M Hogging moment (kN-m) [00364] N Normal force (kN) [00365] r Radius of curvature (m) [00366] R Forward ice-ramp portion inlet half-width (m) [00367] S Maximum ramp cantilever tip distance (m) from platform centerline [00368] T Draft (m) [00369] TDD Thawing degree days (°C-days), negative of FDD [00370] U Height (m) of rafting wedge wall [00371] v Sea ice (pack ice) drift speed (m/s) [00372] w Ice slab self-weight (kN) [00373] W Rafting wedge wall width (m) [00374] x Independent variable [00375] z Z-score of a normal distribution [00376] α Slope of double incline-plane ice ramp vertex (deg) with respect to horizontal [00377] ^ Slope of pressure ridge breaking surface at bow centerline (deg) [00378] ^ Included angle between wedge wall and adjacent ramp surface (deg) [00379] δ Transverse slope of port and starboard ice-ramp portions (deg) [00380] ε Rafting wedge prow half angle (deg) in plan view [00381] ^ Fillet radius of curvature (m) at beveled down edge at bow centerline [00382] ^ ^ Ice segment buckling criterion (-) [00383] ^ Scale factor of model to full-scale prototype (-) [00384] ^ Wavelength (m) [00385] ^ ^ Mean design level pack ice thickness (m), not including ridges [00386] ^s Coefficient of static friction (-) [00387] ^ Poisson’s ratio (-) [00388] ^ Right circular cone draft angle (deg) [00389] ρ Seawater density (kg/m 3 ) [00390] ρ i Sea ice density (kg/m 3 ) [00391] ^ ^ Standard deviation (same dimensions as mean) [00392] ^^ ^ Sea ice flexural strength (Pa) [00393] ^ Bow stem angle (deg) [00394] ^ Angle (radians) between centerline and edge of ice segment of length L on 2D ramp with radius of curvature r [00395] ^ Safety factor (-) ABBREVIATIONS LIST [00396] CL Centerline [00397] DWL Design waterline of platform [00398] FY First year (ice) [00399] MIZ Marginal ice zone [00400] MY Multiyear (ice) [00401] WL Waterline of floating objects other than the platform CITATIONS LIST Patent Literature [00402] Braley, W. (1984), Ice-Breaking Hull, U.S. Patent No.4,436,046. [00403] Stangebye, C. (1907), Boat for Ice Breaking and Other Purposes, U.S. Patent No. 857,766. [00404] Waas, H. (1976), Icebreaker Vessel, U.S. Patent 3,985,091.
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