Lattice-Boltzmann modeling of the air permeability of polar firn

Journal of Geophysical Research: Earth Surface

Volumn 115, Issue 4, 2010, Pages

  Courville, Zoe ^a   Hörhold, Maria ^b   Hopkins, Mark ^a   Albert, Mary ^c  

^a Engineering Research and Development Center   (United States)

^b ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

^c DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRFLOW; EMPIRICAL ANALYSIS; FIRN; FLOW MODELING; GLACIOLOGY; IMAGING METHOD; MICROSTRUCTURE; NUMERICAL MODEL; PERMEABILITY; POLAR REGION; SNOW; THREE-DIMENSIONAL MODELING;

EID: 78650565349     PISSN: None     EISSN: 21699011     Source Type: Journal    
DOI: 10.1029/2009JF001549     Document Type: Article

References (51)

1. Ahrenholz, B., J. Tölke, and M. Krafczyk (2006), Lattice-Boltzmann simulations in reconstructed parameterized porous media, Int. J. Comput. Fluid Dyn., 20, 369-377.
2. Albert, M. R. (2002), Effects of snow and firn ventilation on sublimation rates, Ann. Glaciol., 35, 52-56.
3. Albert, M. R., and F. E. Perron (2000), Ice layer and surface crust permeability in a seasonal snow pack, Hydrol. Processes, 14, 3207-3214.
4. Albert, M. R., E. F. Shultz, and F. E. Perron (2000), Snow and firn permeability at Siple Dome, Antarctica, Ann. Glaciol., 31, 353-356.
5. Albert, M. R., C. Shuman, Z. Courville, R. Bauer, M. Fahnestock, and T. Scambos (2004), Extreme firn metamorphism: Impact of decades of vapor transport on near-surface firn at a low-accumulation glazed site on the East Antarctic Plateau, Ann. Glaciol., 39, 73-78.
6. Arns, C. H., M. A. Knackstedt, W. V. Pinczewski, and N. S. Martys (2004), Virtual permeametry on microtomographic images, J. Petrol. Sci. Eng., 45, 41-46.
7. Arons, E. M., and S. C. Colbeck (1998), Effective medium approximation for the conductivity of sensible heat in dry snow, Int. J. Heat Mass Transfer, 41, 2653-2666.
8. Auzerais, F. M., J. Dunsmuir, B. B. Ferréol, N. Martys, J. Olson, T. S. Ramakrishnan, D. H. Rothman, and L. M. Schwartz (1996), Transport in sandstone: A study based on three-dimensional microtomography, Geophys. Res. Lett., 23, 705-708.
9. Carman, P. C. (1956), Flow of Gases Through Porous Media, 182 pp., Academic Press, New York.
10. Chen, S., and G. D. Doolen (1998), Lattice-Boltzmann method for fluid flows, Ann. Rev. Fluid Mech., 30, 329-364.
11. Coker, D. A., S. Torquato, and J. H. Dunsmuir (1996), Morphology and physical properties of Fontainbleau sandstone via a tomographic analysis, J. Geophys. Res., 101, 17,497-17,506.
12. Colbeck, S. C. (1983), Theory of metamorphism of dry snow, J. Geophys. Res., 88, 5475-5482.
13. Colbeck, S. C. (1989), Air movement in snow due to wind pumping, J. Glaciol., 35, 209-213.
14. Coléou, C., B. Lesaffre, J. -B. Brzoska, W. Ludwig, and E. Boller (2001), Three-dimensional snow images by X-ray microtomography, Ann. Glaciol., 32, 75-81.
15. Costa, A. (2006), Permeability-porosity relationship: A reexamination of the Kozeny-Carman equation based on a fractal pore-space geometry assumption, Geophys. Res. Lett., 33, L02318, doi:10.1029/2005GL025134.
16. Courville, Z. R., M. R. Albert, M. A. Fahnestock, L. M. Cathles, and C. A. Shuman (2007), Impacts of an accumulation hiatus on the physical properties of firn at a low-accumulation polar site, J. Geophys. Res., 112, F02030, doi:10.1029/2005JF000429.
17. Dominé, F., R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Casacchia (2006), Correlation between the specific surface area and the short wave infrared (SWIR) reflectance of snow, Cold Reg. Sci. Technol., 46, 60-68.
18. Dominé, F., M. R. Albert, T. Huthwelker, H. -W. Jacobi, A. A. Kokhanovsky, M. Lehning, G. Picard, and W. R. Simpson (2008), Snow physics as relevant to photochemistry, Atmos. Chem. Phys., 8, 171-208.
19. dos Santos, L. O. E., C. E. P. Ortiz, H. C. de Gaspari, G. E. Haverroth, and P. C. Philippi (2005), Prediction of intrinsic permeabilities with lattice-Boltzmann method, 18th Int. Congr. Mech. Eng., 2005, Assoc. Braz. Eng. Sci. Mech., Rio de Janeiro, Brazil.
20. Dullien, F. A. L. (1992), Porous Media: Fluid Transport and Pore Structure, 2nd ed., 574 pp., Academic Press, New York.
21. Flin, F., and J.-B. Brzoska (2008), The temperature-gradient metamorphism of snow: Vapor diffusion model and application to tomographic images, Ann. Glaciol., 49, 17-21.
22. Flin, F., J.-B. Brzoska, B. Lesaffre, C. Cloléou, and P. Lamboley (2001), Computation of normal vectors of discrete 3D objects: Application to natural snow images from X-ray tomography, Image Anal. Stereol., 20, 187-191.
23. 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.
24. Freitag, J., U. Dobrindt, and J. Kipfstuhl (2002), A new method for predicting transport properties of polar firn with respect to gases on the pore space scale, Ann. Glaciol., 35, 538-544.
25. Freitag, J., F. Wilhelms, and S. Kipfstuhl (2004), Microstructure- dependent densification of polar firn derived from X-ray microtomography, J. Glaciol., 50, 243-250.
26. Fujita, S., J. Okuyama, A. Hori, and T. Hondoh (2009), Metamorphism of stratified firn at Dome Fuji, Antarctica: A mechanism for local insolation modulation of gas transport conditions during bubble close off, J. Geophys. Res., 114, F03023, doi:10.1029/2008JF001143.
27. Gallet, J. C., F. Dominé, C. S. Zender, and G. Picard (2009), Measurement of the specific surface area of snow using infrared reflectance in an integrating sphere at 1310 nm and 1550 nm, Cryosphere, 3, 167-182.
28. Gerbaux, O., F. Buyens, V. V. Mourzenko, A. Memponteil, A. Vabre, J.-F. Thovert, and P. M. Adler (2010), Transport properties of real metallic foams, J. Colloid Interface Sci., 342, 155-165.
29. Hörhold, M. (2006), Microstructure and air transport properties of polar firn, M.S. thesis, 77 pp., University of Bremen, Bremen, Germany.
30. Hörhold, M., M. R. Albert, and J. Freitag (2009), The impact of accumulation rate on anisotropy and air permeability of polar firn at a high-accumulation site, J. Glaciol., 55, 625-630.
31. Kaempfer, T., 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.
32. Kameda,A., J.Dvorkin,Y. Keehm,A. Nur, and W. Bosl (2006), Permeabilityporosity transforms from small sandstone fragments, Geophysics, 71, N11-N19, doi:10.1190/1.2159054.
33. Larson, R. E., and J. J. L. Higdon (1989), A periodic grain consolidation model of porous media, Phys. Fluids A, 1, 38-46.
34. Lehmann, P., M. Berchtold, B.Ahrenholz, J. Tölke,A. Kaestner, M.Krafczyk, H. Flühler, and H. R. Künsch (2008), Impact of geometrical properties on permeability and fluid phase distribution in porous media, Adv. Water Resour., 31, 1188-1204, doi:10.1016/j.advwatres.2008.01.019.
35. Lundy, C. C., M. Q. Edens, and R. L. Brown (2002), Measurement of snow density and microstructure using computed tomography, J. Glaciol., 48, 312-316.
36. Manwart, C., U. Aaltosalmi, A. Koponen, R. Hilfer, and J. Timonen (2002), Lattice-Boltzmann and finite-difference simulations for the permeability of three-dimensional porous media, Phys. Rev. E, 66, 016702, doi:10.1103/PhysRevE. 66.016702.
37. Matzl, M., and M. Schneebeli (2006), Measuring specific surface area of snow by near-infrared photography, J. Glaciol., 52, 558-564.
38. Nolin, A., and J. Dozier (1993), Estimating snow grain size using AVIRIS data, Remote Sens. Environ., 44, 231-238.
39. Nolin, A., and J. Dozier (2000),Ahyperspectral method for remotely sensing the grain size of snow, Remote Sens. Environ., 74, 207-216.
40. Painter, T. H., N. P. Molotch, M. Cassidy, M. Flanner, and K. Steffen (2007), Instruments and methods: Contact spectroscopy for determination of stratigraphy of snow optical grain size, J. Glaciol., 53, 121-127, doi:10.3189/172756507781833947.
41. Pieritz, R. A., J. -B. Brzoska, F. Flin, B. Lesafre, and C. Coléou (2004), From snow X-ray microtomography raw volume data to micromechanics modeling: First results, Ann. Glaciol., 38, 52-58.
42. Pinzer, B. R., and M. Schneebeli (2009), Snow metamorphism under alternating temperature gradients: Morphology and recrystallization in surface snow, Geophys. Res. Lett., 36, L23503, doi:10.1029/2009GL039618.
43. Revil, A., and L. M. Cathles (1999), Permeability of shaly sands, Water Resour. Res., 35, 651-662, doi:10.1029/98WR02700.
44. Rick, U. K., and M. R. Albert (2004), Microstructure and permeability in the near-surface firn near a potential US deep-drilling site in West Antarctica, Ann. Glaciol., 39, 62-66, doi:10.3189/172756404781814320.
45. Schneebeli, M. (2004), Numerical simulation of elastic stress in the microstructure of snow, Ann. Glaciol., 38, 339-342.
46. Shi, J., R. E. Davis, and J. Dozier (1993), Stereological determination of dry snow parameters for discrete microwave modeling, Ann. Glaciol., 17, 295-299.
47. Shimizu, H. (1970), Air permeability of deposited snow, Contrib. Inst. Low Temp. Sci., Series A, 22, 1-32.
48. Succi, S. (2002), The Lattice-Boltzmann Equation for Fluid Dynamics and Beyond, edited by G. H. Golub et al., 288 pp., Oxford Univ. Press, Oxford, U.K.
49. Walsh, J. B., and W. F. Brace (1984), The effect of pressure on porosity and the transport properties of rock, J. Geophys. Res., 89, 9425-9431.
50. Warren, S. G. (1982), Optical properties of snow, Rev. Geophys. Space Phys., 20, 67-89.
51. White, J. A., R. I. Borja, and J. T. Fredrich (2006), Calculating the effective permeability of sandstone with multiscale lattice-Boltzmann/finite element simulations, Acta Geotech., 1, 195-209, doi:10.1007/s11440-006-0018-4.