Pore space percolation in sea ice single crystals

Journal of Geophysical Research: Oceans

Volumn 114, Issue 12, 2009, Pages

  Pringle, D J ^a   Miner, J E ^a   Eicken, H ^a   Golden, K M ^b  

^a UNIVERSITY OF ALASKA FAIRBANKS   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTERIZED TOMOGRAPHY; CRYSTAL MICROSTRUCTURE; OCEANOGRAPHY; PERCOLATION (SOLID STATE); POROSITY; SEA ICE; SOLVENTS; TRANSPORT PROPERTIES;

BULK PROPERTY MEASUREMENT; COMPLEX MICROSTRUCTURES; COMPLEX MORPHOLOGY; CONCEPTUAL MODEL; CONNECTIVITY THRESHOLD; CRITICAL BEHAVIOR; CRITICAL POROSITY; DC CONDUCTIVITY; DEPENDENT FUNCTIONS; DUAL POROSITY; FINITE-SIZE SCALING ANALYSIS; FLUID PERMEABILITY; NATURAL MATERIALS; PERCOLATION THEORY; PHASE RELATION; POLYCRYSTALLINE SAMPLES; PORE SPACE; SOLUTE SYSTEMS; THERMAL EVOLUTION; THERMALLY DRIVEN; X-RAY COMPUTED TOMOGRAPHY;

SINGLE CRYSTALS;

BRINE; CONCEPTUAL FRAMEWORK; CRYSTAL STRUCTURE; ELECTRICAL CONDUCTIVITY; PERCOLATION; PERMEABILITY; PORE SPACE; POROSITY; SEA ICE; TEMPERATURE EFFECT; TOMOGRAPHY;

EID: 77949392502     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2008JC005145     Document Type: Article

References (72)

1. Assur, A. (1960), Composition of sea ice and its tensile strength, Rep. 44, U.S. Army Cold Region Res. and Eng. Lab., Hanover, N. H.
2. Biswal, B., C. Manwart, and D. Hilfer (1998), Three dimensional local porosity analysis of porous media, Physica A, 255, 221-241, doi:10.1016/S0378- 4371(98)00111-3.
3. Bour, O., P. Davy, C. Darcel, and N. E. Odling (2002), A statistical scaling model for fracture network geometry, with validation on a multiscale mapping of a joint network (Hornelen Basin, Norway), J. Geophys. Res., 107(B6), 2113, doi: 10.1029/2001JB000176.
4. Bourbie, T., and B. Zinszner (1985), Hydraulic and acoustic properties as a function of porosity in Fontainebleau sandstone, J. Geophys. Res., 90, 11,524-11,532, doi: 10.1029/JB090iB13p11524.
5. Broadbent, S. R., and J. M. Hammersley (1957), Percolation processes. Part I: Crystals and mazes, Proc. Cambridge Philos. Soc., 53, 629-641, doi:10.1017/S0305004100032680.
6. Bunde, A., and S. Havlin (1995), Percolation I, in Fractals and Disordered Systems, edited by A. Bunde and S. Havlin, pp. 59-114, Springer, Berlin.
7. Chen, Y., and C. A. Schuh (2007), Percolation of diffusional creep: A new universality class, Phys. Rev. Lett, 98, 035701.1-035701.4, doi:10.1103/ PhysRevLett.98.035701.
8. Christensen, K., and N. R. Moloney (2005), Complexity and Criticality, Imp. Coll. Press, London.
9. Cole, D. M., and L. H. Shapiro (1998), Observations of brine drainage networks and microstructure of first-year sea ice, J. Geophys. Res., 103(C10), 21, 739-21,750, doi: 10.1029/98JC01264.
10. Cole, D. M., H. Eicken, L. H. Shapiro, and K. Frey (2002), Some observations of high porosity layers and brine drainage features in first-year sea ice, paper presented at 16th International Symposium on Ice, Int. Assoc. for Hydro-Environ. Eng. and Res., Dunedin, New Zealand, 2-6 Dec.
11. Cox, G. F. N., and W. F. Weeks (1975), Brine drainage and initial salt entrapment in sodium chloride ice, Res. Rep. 345, Cold Regions Res. and Eng. Lab., Hanover, N. H.
12. Cox, G. F. N., and W. F. Weeks (1983), Equations for determining the gas and brine volumes in sea-ice samples, J. Glaciol., 29, 306-316.
13. Davis, C. A., D. R. McKenzie, and R. C. McPhedran (1991), Optical properties and microstructure of thin silver films, Opt. Commun., 85, 70-82, doi:10.1016/0030-4018(91)90054-H.
14. Deming, J. W., and H. Eicken (2007), Life in ice, in Planets and Life: The Emerging Science of Astrobiology, edited by J. Baross and W. Sullivan, pp. 292-312, Cambridge Univ. Press, Cambridge, U. K.
15. 2O-CsCl system, Eur. J. Mineral, 5, 1145-1152.
16. Eicken, H. (2003), From the microscopic, to the macroscopic, to the regional scale: Growth, microstructure and properties of sea ice, in Sea Ice: An Introduction to Its Physics, Chemistry, Biology and Geology, edited by D. N. Thomas and G. S. Dieckmann, pp. 22-81, Blackwell, Oxford, U. K.
17. Eicken, H., C. Bock, R. Wittig, H. Miller, and H.-O. Poertner (2000), Nuclear magnetic resonance imaging of sea ice pore fluids: Methods and thermal evolution of pore microstructure, Cold Reg. Sci. Technol., 31, 207-225, doi:10.1016/S0165-232X(00)00016-l.
18. Eicken, H., T. C. Grenfell, D. K. Perovich, J. A. Richter-Menge, and K. Frey (2004), Hydraulic controls of summer Arctic pack ice albedo, J. Geophys. Res., 109, C0S008, doi: 10.1029/2003 JC001989.
19. Enting, I. G. (1985), A lattice statistics model for the age distribution of air bubbles in polar ice, Nature, 315, 654-655, doi:10.1038/315654a0.
20. Fredrich, J. T., A. A. DiGiovanni, and D. R. Noble (2006), Predicting macroscopic transport properties using microscopic image data, J. Geophys. Res., 111, B03201, doi:10.1029/2005JB003774.
21. Freitag, J. (1999), Untersuchungen zur hydrologie des Arktischen meereises: Konsequenzen für den kleinskaligen Stofftransport, Ph.D. thesis, 150 pp., Bremen Univ., Bremen, Germany.
22. Freitag, J., and H. Eicken (2003), Melt water circulation and permeability of Arctic summer sea ice derived from hydrological field experiments, J. Glaciol., 49, 349-358, doi:10.3189/l 72756503781830601.
23. Freitag, J., U. Dobrindt, and S. Kipfstuhl (2002), A new method for predicting transport properties of polar rim with respect to gases on the pore space scale, Ann. Glaciol., 35, 538-544, doi:10.3189/172756402781816582.
24. Golden, K. M., S. F. Ackley, and V. I. Lytle (1998a), The percolation phase transition in sea ice, Science, 282, 2238-2241, doi:10.1126/ science.282.5397.2238.
25. Golden, K. M., M. Cheney, K. H. Ding, A. K. Fung, T. C. Grenfell, . D. Isaacson, J. A. Kong, S. V. Nghiem, J. Sulvester, and D. P. Winebrenner (1998b), Forward electromagnetic scattering models for sea ice, IEEE Trans. Geosci. Remote Sens., 36, 1655-1674, doi:10.1109/36.718637.
26. Golden, K. M., et al. (1998c), Inverse electromagnetic scattering models for sea ice, IEEE Trans. Geosci. Remote Sens., 36, 1675-1704, doi:10.1109/ 36.718638.
27. Golden, K. M., H. Eicken, A. L. Heaton, J. Miner, D. J. Pringle, and J. Zhu (2007), Thermal evolution of permeability and microstructure in sea ice, Geophys. Res. Lett., 34, L16501, doi:10.1029/2007GL030447.
28. Hallikainen, M., and D. P. Winebrenner (1992), The physical basis for sea ice remote sensing, in Microwave Remote Sensing of Sea Ice, Geophys. Monogr Ser., vol.68, edited by F. D. Carsey, pp. 29-46, AGU, Washington, D. C.
29. Hunt, A. G. (2005), Percolation Theory for Flow in Porous Media (Lecture Notes in Physics 674), Springer, New York.
30. Ingham, M., D. J. Pringle, and H. Eicken (2008), Cross-borehole resistivity tomography of sea ice, Cold Reg. Sci. Technol, 52, 263-277, doi: 10.1016/j.coldregions.2007.05.002.
31. Jerram, D. A., and M. D. Higgins (2007), 3D analysis of rock textures: Quantifying igneous microsmicutres, Elements, 3(4), 239-245, doi: 10.2113/ gselements.3.4.239.
32. Junge, K., C. Krembs, J. Deming, A. Stierle, and H. Eicken (2001), A microscopic approach to investigate bacteria under in situ conditions in sea-ice samples, Ann. Glaciol., 33, 304-310.
33. Kaempfer, T. U., M. Schneebeli, and S. A. Sokratov (2005), A microstructural approach to model heat transfer in snow, Geophys. Res. Lett., 32, L21503, doi:10.1029/2005GL023873.
34. Kawamura, T. (1986), A method for growing large single crystals of sea ice, J. Glaciol, 32, 302-303.
35. Kawamura, T. (1988), Observations of the internal structure of sea ice by X ray computed tomography, J. Geophys. Res., 93(C3), 2343-2350, doi: 10.1029/JC093iC03p02343.
36. Ketcham, R. A. (2005), Three-dimensional textural measurements using high-resolution X-ray computed tomography, J. Struct. Geol., 27, 1217-1228, doi:10.1016/j.jsg.2005.02.006.
37. Ketcham, R. A., and T. Ryan (2004), Quantification and visualization of anisotropy in trabecular bone, J. Microsc., 213, 158-171, doi:10.1111/ J.1365-2818.2004.01277.X.
38. Krembs, C., R. Gradinger, and M. Spindler (2000), Implications of brine channel geometry and surface area for the interaction of sympagic organisms in Arctic sea ice, J. Exp. Mar. Biol. Ecol., 243, 55-80, doi:10.1016/ S0022-0981(99)00111-112
39. Krystek, M., and M. A. Anton (2007), A weighted total least-squares algorithm for fitting a straight line, Meas. Sci. Technol., 18, 3438-3442, doi: 10.1088/0957-0233/18/11/025.
40. Kusy, R. P., and D. T. Turner (1971), Electrical resistivity of a polymeric insulator containing segregated metallic particles, Nature, 229, 58-59.
41. Kyrylyuk, A. V., and P. van der Schoot (2008), Continuum percolation of carbon nanotubes in polymeric and colloidal media, Proc. Natl. Acad. Sci. U. S. A., 105, 8221-8226, doi:10.1073/pnas.0711449105.
42. Lange, M. A. (1988), Basic properties of Antarctic sea ice as revealed by textural analysis of ice cores, Ann. Glaciol., 10, 95-101.
43. Leppäranta, M., and T. Manninen (1988), The brine and gas content of sea ice with attention to low salinities and high temperatures, Intern. Rep. 2, Finn. Inst, of Mar. Res., Helsinki.
44. Light, B., G. A. Maykut, and T. C. Grenfell (2003), Effects of temperature on the microstrucrure of first-year Arctic sea ice, J. Geophys. Res., 108(C2), 3051, doi:10.1029/2001JC000887.
45. Lindquist, W. B. (1999), 3DMA general users manual, Rep. SUNYSB-AMS99-20, State Univ. of N. Y. at Stony Brook, Stony Brook, N. Y.
46. Matsumoto, M., and T. Nishimura (1998), Mersenne twister: A 623dimensionally equidistributed uniform pseudorandom number generator, ACM Trans. Model. Comput. Simul., 8(1), 3-30, doi:10.1145/ 272991.272995.
47. 2O system at low temperatures, Eur. J. Mineral, 11(3), 477-482.
48. Nakawo, M., and N. K. Sinha (1984), A note on brine layer spacing of first-year sea ice, Atmos. Ocean, 22(2), 193-206.
49. Notz, D., and M. G. Worster (2008), In situ measurements of the evolution of young sea ice, J. Geophys. Res., 113, C03001, doi:10.1029/ 2007JC004333.
50. Odling, N. E. (1997), Scaling and connectivity of joint systems in sandstones from western Norway, J. Struct. Geol., 19(10), 1257-1271, doi:10.1016/S0191-8141(97)00041-2.
51. Patwardhan, V. S., and A. Kumar (1986a), A unified approach for prediction of thermodynamic properties of aqueous mixed-electrolyte solutions, part 1: Vapor pressure and heat of vaporization, AIChE J., 32(9), 14191428, doi:10.1002/aic.690320903.
52. Patwardhan, V. S., and A. Kumar (1986b), A unified approach fro prediction of thermodynamic properties of aqueous mixed-electrolyte solutions, part 2: Volume, thermal, and other properties, AIChE J., 32(9), 14291438, doi:10.1002/aic.690320904.
53. Perovich, D. K., and A. J. Gow (1996), A quantitative description of sea ice inclusions, J. Geophys. Res., 101(C8), 18,327-18,343, doi:10.1029/ 96JC01688.
54. Petrich, C., P. J. Langhome, and Z. F. Sun (2006), Modelling the interrelationships between permeability, effective porosity and total porosity in sea ice, Cold Reg. Sci. Technol., 44, 131-144, doi:10.1016/j.coldregions. 2005.10.001.
55. Pfirman, S. L., H. Eicken, D. Bauch, and W. F. Weeks (1995), The potential transport of pollutants by Arctic sea ice, Sci. Total Environ., 159, 129146, doi: 10.1016/0048-9697(95)04174-Y.
56. Pringle, D., G. Dubuis, and H. Eicken (2009), Impedance measurements of the complex dielectric permittivity of sea ice at 50 MHz: Pore microstructure and potential for salinity monitoring, J. Glaciol., 55, 81-94, doi: 10.3189/002214309788608903.
57. Pringle, D. J., H. Eicken, H. J. Trodahl, and L. G. E. Backstrom (2007), Thermal conductivity of landfast Antarctic and Arctic sea ice, J. Geophys. Res., 112, C04017, doi:10.1029/2006JC003641.
58. Prodanovic, M., W. B. Lindquist, and R. S. Seright (2006), Porous structure and fluid partitioning in polyethylene cores from 3D X-ray micrqtomographie imaging, J. Colloid Interface Sci., 298, 282-297, doi:10.1016/ j.jcis.2005.11.053.
59. Roberts, J. J., J. H. Kinney, J. Siebert, and F. J. Ryerson (2007), Fe-Ni-S melt permeability in olivine: Implications for planetary core formation, Geophys. Res. Lett., 34, L14306, doi:10.1029/2007GL030497.
60. Schulson, E. M. (1999), The structure and mechanical behavior of ice, J Mech., 51(2), 21-27.
61. Shklovskii, B. I., and A. L. Efros (1984), Electronic Properties of Doped Semiconductors, Springer, Berlin.
62. Stauffer, D., and A. Aharony (1994), Introduction to Percolation Theory, Taylor and Francis, London.
63. Thomas, D. N., and G. S. Dieckmann (2003), Sea Ice: An Introduction to Its Physics, Biology, Chemistry and Geology, Blackwell Sci., London.
64. Tinga, W. R., W. A. G. Voss, and D. F. Blossey (1973), Generalized approach to multiphase dielectric mixture theory, J. Appl. Phys., 44, 3897-3902, doi:10.1063/l.1662868.
65. Vancoppenolle, M., C. M. Bitz, and T. Fichefet (2007), Summer landfast sea ice desalination at Point Barrow, Alaska: Modeling and observations, J. Geophys. Res., 112, C04022, doi:10.1029/2006JC003493.
66. Vant, M. R., R. O. Ramseier, and V. Makios (1978), The complex-dielectric constant of sea-ice at frequencies in the range 0.1-40 GHz, J. Appl. Phys., 49, 1264-1280, doi:10.1063/1.325018.
67. Wark, D. A., A. Williams, E. B. Watson, and J. D. Price (2003), Reassessment of pore shapes in microstructurally equilibrated rocks, with implications for permeability of the upper mantle, J. Geophys. Res., 108(Bl), 2050, doi:10.1029/2001JB001575.
68. Weeks, W. F., and S. F. Ackley (1986), The growth, structure of sea ice, in The Geophysics of Sea Ice, edited by N. Untersteiner, pp. 9 -164, Plenum, New York.
69. Wettlaufer, J. S., M. G. Worster, and H. E. Huppert (2000), Solidification of leads: Theory, experiment, and field observations, J. Geophys. Res., 105, 1123-1134, doi: 10.1029/1999JC900269.
70. Yen, Y.-C. (1981), Review of thermal properties of snow, ice and sea ice, Rep. 81-10, U.S. Army Cold Region Res. and Eng. Lab., Hanover, N. H.
71. Zhang, S., M. S. Patterson, and S. F. Cox (1994), Porosity and permeability evolution during hot isostatic pressing of calcite aggregates, J. Geophys. Res., 99(B8), 15,741-15,760, doi:10.1029/94JB00646.
72. Zhu, J., A. Jabini, K. M. Golden, H. Eicken, and M. Morris (2006), A network model for fluid transport in sea ice, Ann. Glaciol., 44, 129-133, doi:10.3189/172756406781811141.