Two-region extended Archie's law model for soil air permeability and gas diffusivity

Soil Science Society of America Journal

Volumn 75, Issue 3, 2011, Pages 795-806

  Hamamoto, Shoichiro ^a   Moldrup, Per ^b   Kawamoto, Ken ^a   De Jonge, Lis Wollesen ^c   Schjønning, Per ^c   Komatsu, Toshiko ^a  

^a SAITAMA UNIVERSITY   (Japan)

^b AALBORG UNIVERSITY   (Denmark)

^c AARHUS UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ARCHIE'S LAW; BLOCKAGE EFFECTS; CONTROLLING FACTORS; GAS DIFFUSION; GAS DIFFUSIVITY; GAS TRANSPORT; KOZENY EQUATION; MATRIC POTENTIAL; MEASURED DATA; MODEL-BASED OPC; MOISTURE CONDITIONS; NATURAL FIELDS; PERCOLATION THRESHOLDS; PORE DIAMETERS; REFERENCE POINTS; SATURATION EXPONENT; SOIL GAS; SOIL TYPES; STRUCTURED SOIL; TOTAL POROSITY; UNIFIED MODEL; VARIABLY SATURATED;

AIR PERMEABILITY; DIFFUSION IN GASES; GAS PERMEABILITY; GASES; NATURAL GAS FIELDS; POROUS MATERIALS; SOILS; SOLVENTS;

GEOLOGIC MODELS;

DATA SET; DIAMETER; DIFFUSION; GAS TRANSPORT; NUMERICAL MODEL; PERMEABILITY; POROSITY; SOIL EMISSION; SOIL TYPE; THRESHOLD;

EID: 83055160726     PISSN: 03615995     EISSN: None     Source Type: Journal    
DOI: 10.2136/sssaj2010.0207     Document Type: Article

References (59)

1. Al Majou, H., A. Bruand, and O. Duval. 2008. Use of in situ volumetric water content at field capacity to improve prediction of soil water retention properties. Can. J. Soil Sci. 88:533-541.
2. Archie, G.E. 1942. The electrical resistivity log as an aid in determining some reservoir characteristics. Trans. Am. Inst. Min. Metall. Pet. Eng. 146:54-62.
3. Balberg, I. 1986. Excluded-volume explanation of Archie's law. Phys. Rev. B 33:3618-3620.
4. Ball, B.C. 1981. Modeling of soil pores as tubes using gas permeabilities, gas diff usivities, and water release. J. Soil Sci. 32:465-481.
5. Ball, B.C., K.E. Dobbie, J.P. Parker, and K.A. Smith. 1997. The influence of gas transport and porosity on methane oxidation in soils. J. Geophys. Res. 102:23301-23308.
6. Blackwell, P.S., A.F. Ringrose-Voase, N.S. Jayawardane, K.A. Olsson, D.C. McKenzie, and W.K. Mason. 1990. The use of air-filled porosity and intrinsic permeability to characterize macropore structure and saturated hydraulic conductivity of clay soils. J. Soil Sci. 41:215-228.
7. Buckingham, E. 1904. Contributions to our knowledge of the aeration of soils. USDA Bur. of Soils Bull. 25. U.S. Gov. Print. Office, Washington, DC.
8. Campbell, G.S. 1974. A simple method for determining unsaturated conductivity from moisture retention data. Soil Sci. 117:311-314.
9. Carman, P.C. 1937. Fluid flow through granular beds. Trans. Inst. Chem. Eng. 15:150-166.
10. Chamindu Deepagoda, T.K.K., P. Moldrup, P. Schjonning, L.W. de Jonge, K. Kawamoto, and T. Komatsu. 2011. Density-corrected models for gas diffusivity and air permeability in unsaturated soil. Vadose Zone J. 10:226-238.
11. Currie, J.A. 1960. Gaseous diffusion in porous media: I. A non-steady state method. Br. J. Appl. Phys. 11:318-324.
12. Currie, J.A. 1983. Gas diffusion through soil crumbs: The effects of wetting and swelling. J. Soil Sci. 34:217-232.
13. Currie, J.A. 1984. Gas diffusion through soil crumbs: The effects of compaction and wetting. J. Soil Sci. 35:1-10.
14. Evans, W.C., M.L. Sorey, B.M. Kennedy, D.A. Stonestrom, and J.D. Rogie.2001. High CO emissions through porous media: Transport mechanisms and implications for flux measurement and fractionation. Chem. Geol. 177:15-29. (Pubitemid 32614925)
15. Freijer, J.I. 1994. Calibration of jointed tube model for gas diffusion coefficient in soils. Soil Sci. Soc. Am. J. 58:1067-1076.
16. Friedman, S.P. 2005. Soil properties infl uencing apparent electrical conductivity: A review. Comput. Electron. Agric. 46:45-70. (Pubitemid 40257066)
17. Hamamoto, S., P. Moldrup, K. Kawamoto, and T. Komatsu. 2009. Eff ect of particle size and soil compaction on gas transport parameters in variably saturated, sandy soils. Vadose Zone J. 8:986-995.
18. Hamamoto, S., P. Moldrup, K. Kawamoto, and T. Komatsu. 2010. Excluded-volume expansion of Archie's law for gas and solute diff usivities and electrical and thermal conductivities in variablysaturated porous media. Water Resour. Res. 46:W06514. 10.1029/2009WR008424
19. Hunt, A.G. 2004a. Continuum percolation theory and Archie's law. Geophys. Res. Lett. 31:L19503. 10.1029/2004GL020817 (Pubitemid 40046936)
20. Hunt, A.G. 2004b. Continuum percolation theory for water retention and hydraulic conductivity of fractal soils: Estimation of the critical volume fraction for percolation. Adv. Water Resour. 27:175-183. (Pubitemid 38242170)
21. Iiduka, K., K. Kawamoto, T. Komatsu, and Y. Iwata. 2008. New expressions for predicting air conductivity based on soil physical properties. p. 633-636. In Proc. Symp. On Groundwater and Soil Contamination and Remediation, 14th, Saitama, Japan. 25-26 June 2008. (In Japanese.)
22. Iversen, B.V., P. Schjonning, T.G. Poulsen, and P. Moldrup. 2001. In situ, on-site and laboratory measurements of soil air permeability: Boundary conditions and measurement scale. Soil Sci. 166:97-106. (Pubitemid 32175349)
23. Kamiya, K., R. Bakrie, and Y. Honjo. 2006. The measurement of air permeability coefficient of unsaturated soil with controlling water retentivity. (In Japanese with English summary.) Doboku Gakkai Ronbunshuu C 62:679-688.
24. Kawamoto, K., P. Moldrup, P. Schjonning, B.V. Iversen, T. Komatsu, and D.E. Rolston. 2006a. Gas transport parameters in the vadose zone: Development and tests of power-law models for air permeability. Vadose Zone J. 5:1205-1215. (Pubitemid 47253947)
25. Kawamoto, K., P. Moldrup, P. Schjonning, B.V. Iversen, D.E. Rolston, and T. Komatsu. 2006b. Gas transport parameters in the vadose zone: Gas diffusivity in field and lysimeter soil profiles. Vadose Zone J. 5:1194-1204. (Pubitemid 47253946)
26. Kozeny, J. 1929. Uber kapillare Leitung des Wassers in Boden. Sitzungber. Akad. Wiss. Wien, Math. Naturwiss. Kl., Abt. 2a 136:271-306.
27. Kruse, C.W., P. Moldrup, and N. Iversen. 1996. Modeling diffusion and reaction in soils: II. Atmospheric methane diffusion and consumption in forest soil. Soil Sci. 161:355-365.
28. Loll, P., P. Moldrup, P. Schjonning, and H. Riley. 1999. Predicting saturated hydraulic conductivity from air permeability: Application in stochastic water infiltration modeling. Water Resour. Res. 35:2387-2400. (Pubitemid 29375369)
29. Marshall, T.J. 1959. The diffusion of gases through porous media. J. Soil Sci. 10:79-82.
30. Martys, N.S. 1999. Diffusion in partially-saturated porous materials. Mater. Struct. 32:555-562. (Pubitemid 30509780)
31. Millington, R.J. 1959. Gas diffusion in porous media. Science 130:100-102.
32. Millington, R.J., and J.M. Quirk. 1961. Permeability of porous solids. Trans. Faraday Soc. 57:1200-1207.
33. Millington, R.J., and J.M. Quirk. 1964. Formation factor and permeability equations. Nature 202:143-145.
34. Moldrup, P., T. Olesen, J. Gamst, P. Schjonning, T. Yamaguchi, and D.E. Rolston. 2000a. Predicting the gas diffusion coefficient in repacked soil: Water-induced linear reduction model. Soil Sci. Soc. Am. J. 64:1588-1594.
35. Moldrup, P., T. Olesen, T. Komatsu, P. Schjonning, and D.E. Rolston. 2001. Tortuosity, diffusivity, and permeability in the soil liquid and gaseous phases. Soil Sci. 164:542-551.
36. Moldrup, P., T. Olesen, P. Schjonning, T. Yamaguchi, and D.E. Rolston. 2000b. Predicting the gas diffusion coefficient in undisturbed soil from soil water characteristics. Soil Sci. Soc. Am. J. 64:94-100. (Pubitemid 30308809)
37. Moldrup, P., T. Olesen, S. Yoshikawa, T. Komatsu, A.M. McDonald, and D.E. Rolston. 2005. Predictive-descriptive models for gas and solute diffusion coefficients in variably saturated porous media coupled to pore-size distribution: III. Inactive pore space interpretations of gas diffusivity. Soil Sci. 170:867-880. (Pubitemid 44391501)
38. Moldrup, P., T. Olesen, S. Yoshikawa, T. Komatsu, and D.E. Rolston. 2004. Three-porosity model for predicting the gas diffusion coefficient in undisturbed soil. Soil Sci. Soc. Am. J. 68:750-759. (Pubitemid 38653592)
39. Moldrup, P., T.G. Poulsen, P. Schjonning, T. Olesen, and T. Yamaguchi. 1998. Gas permeability in undisturbed soils: Measurements and predictive models. Soil Sci. 163:180-189. (Pubitemid 28154063)
40. Moldrup, P., S. Yoshikawa, T. Olesen, T. Komatsu, and D.E. Rolston. 2003. Air permeability in undisturbed volcanic ash soils: Predictive model test and soil structure fingerprint. Soil Sci. Soc. Am. J. 67:32-40. (Pubitemid 36111208)
41. Nimmo, J.R., and K.S. Perkins. 2002. Aggregate stability and size distribution. p. 317-328. In J.H. Dane and G.C. Topp (ed.) Methods of soil analysis. Part 4. SSSA Book Ser. 5. SSSA, Madison, WI.
42. Osozawa, S. 1998. A simple method for determining the gas diffusion coefficient in soil and its application to soil diagnosis and analysis of gas movement in soil. (In Japanese with English summary.) D.S. diss. 15 (March). Natl. Inst. of Agro-Environ. Sci., Ibaraki, Japan.
43. Petersen, L.W., Y.H. El-Farhan, P. Moldrup, D.E. Rolston, and T. Yamaguchi. 1996. Transient diffusion, adsorption, and emission of volatile organic vapors in soils with fluctuating low water contents. J. Environ. Qual. 25:1054-1063. (Pubitemid 26322406)
44. Poulsen, T.G., M. Christophersen, P. Moldrup, and P. Kjeldsen. 2001. Modeling lateral gas transport in soil adjacent to old landfill. J. Environ. Eng. 127:145-153.
45. Poulsen, T.G., P. Moldrup, T. Yamaguchi, P. Schjonning, and J.A. Hansen. 1999. Predicting soilwater and soil-air transport properties and their effects on soil-vapor extraction efficiency. Ground Water Monit. Rem. 19:61-70. (Pubitemid 29412133)
46. Resurreccion, A.C., K. Kawamoto, T. Komatsu, P. Moldrup, N. Ozaki, and D.E. Rolston. 2007. Gas transport parameters along field transects of a volcanic ash soil. Soil Sci. 172:3-16. (Pubitemid 46121686)
47. Resurreccion, A.C., T. Komatsu, K. Kawamoto, M. Oda, S. Yoshikawa, and P. Moldrup. 2008a. Linear model to predict soil-gas diffusivity from two soil-water retention points in unsaturated volcanic ash soils. Soils Found. 48:397-406.
48. Resurreccion, A.C., P. Moldrup, K. Kawamoto, S. Hamamoto, D.E. Rolston, and T. Komatsu. 2009. Hierarchical, bimodal model for gas diffusivity in aggregated, unsaturated soils. Soil Sci. Soc. Am. J. 74:481-491.
49. Resurreccion, A.C., P. Moldrup, K. Kawamoto, S. Yoshikawa, D.E. Rolston, and T. Komatsu. 2008b. Variable pore connectivity factor model for gas diffusivity in unsaturated, aggregated soil. Vadose Zone J. 7:397-404.
50. Revil, A., and D. Jougnot. 2008. Diffusion of ions in unsaturated porous materials. J. Colloid Interface Sci. 319:226-235.
51. Rolston, D.E., and P. Moldrup. 2002. Gas diffusivity. p. 1113-1139. In J.H. Dane and G.C. Topp (ed.) Methods of soil analysis. Part 4. SSSA Book Ser. 5. SSSA, Madison, WI.
52. Schjønning, P., L.J. Munkholm, P. Moldrup, and O.H. Jacobsen. 2002. Modeling soil pore characteristics from measurements of air exchange: The long-term effects of fertilization and crop rotation. Eur. J. Soil Sci. 53:331-339. (Pubitemid 34629822)
53. Schjønning, P., and K.J. Rasmussen. 2000. Soil strength and soil pore characteristics for direct drilled and ploughed soils. Soil Tillage Res. 57:69-82.
54. Schjønning, P., I.K. Thomsen, J.P. Moberg, H. de Jonge, K. Kristensen, and B.T. Christensen. 1999. Turnover of organic matter in differently textured soils: I. Physical characteristics of structurally disturbed and intact soils. Geoderma 89:177-198. (Pubitemid 29266768)
55. Stonestrom, D.A., and J. Rubin. 1989a. Water content dependence of trapped air in two soils. Water Resour. Res. 25:1947-1958. (Pubitemid 20399829)
56. Stonestrom, D.A., and J. Rubin. 1989b. Air permeability and trapped-air content in two soils. Water Resour. Res. 25:1959-1969. (Pubitemid 20399877)
57. Stylianou, B., and B.A. DeVantier. 1995. Relative air permeability as function of saturation in soil venting. J. Environ. Eng. 121:337-348.
58. Tuli, A., and J.W. Hopmans. 2004. Eff ect of degree of fluids saturation on transport coefficient in disturbed soils. Eur. J. Soil Sci. 55:147-164. (Pubitemid 38258795)
59. Xu, X., J.L. Nieber, and S.C. Gupta. 1992. Compaction effects on the gas diffusion coefficients in soils. Soil Sci. Soc. Am. J. 56:1743-1750. (Pubitemid 23383717)