9 References

Bird, R.B., W.E. Stewart, and E.N. Lightfoot, 2002, Transport Phenomena. John Wiley and Sons, New York, USA, 780 pages.

Brooks, R.H. and A.T. Corey, 1966, Properties of Porous Media Affecting Fluid Flow. Journal of the Irrigation and Drainage Division, American Society of Civil Engineers, volume 92, pages 61-88.

Corey, A.T., 1994, Mechanics of Immiscible Fluids in Porous Media. Water Resources Publications, Highlands Ranch, Colorado, USA.

Cunningham, R.E. and R.J.J. Williams, 1980, Diffusion in Gases and Porous Media. Plenum Press, New York, USA, London, United Kingdom, 275 pages.

Cussler, E.L., 1997, Diffusion Mass Transfer in Fluid Systems, second edition, Cambridge University Press, Cambridge, United Kingdom, 580 pages.

Daniels, F. and R.A. Alberty, 1962, Physical Chemistry. Second edition, John Wiley and Sons, New York, USA, 744 pages.

Evans III, R.B., G.M. Watson, and E.A. Mason, 1961, Gaseous Diffusion in Porous Media at Uniform Pressure. Journal of Chemical Physics, volume 35, pages 2076-2083.

Evans III, R.B., G.M. Watson, and E.A. Mason, 1962, Gaseous Diffusion in Porous Media, II Effect of Pressure Gradients. Journal of Chemical Physics, volume 36, pages 1894-1902.

Fen, C.S. and L.M. Abriola, 2004, A Comparison of Mathematical Formulations for Organic Vapor Transport in Porous Media. Advances in Water Resources, volume 27, pages 1005-1016.

Fick, A., 1855, On Liquid Diffusion. Philosophical Magazine, volume 10, pages 31-39.

Freeze, R.A. and J.A. Cherry, 1979, Groundwater. Prentice-Hall, New Jersey, USA, 604 pages.

Graham, T., 1833, On the Law of Diffusion of Gases. Philosophical Magazine, volume 175, pages 44-70.

Gunn, R.D. and W.G. King, 1969, Mass Transport in Porous Materials Under Combined Gradients of Composition and Pressure. American Institute of Chemical Engineers Journal, volume 15, pages 507-514.

Heid, J.G., J.J. McMahon, R.F. Nelson, and S.T. Yuster, 1950, Study of the Permeability of Rocks to Homogeneous Fluids. American Petroleum Institute Drilling and Production Practice, pages 230-244.

Hoogschagen, J., 1955, Diffusion in Porous Catalysts and Absorbents. Industrial and Engineering Chemistry, volume 47, pages 906-913.

Hubbert, M.K., 1956, Darcy’s Law and the Field Equations of Flow of Underground Fluids. Transactions American Institute of Mining and Metallurgical Engineers, volume 207, pages 220-239.

Johnson, P.C., C. Bruce, R.L. Johnson, and M.W. Kemblowski, 1998, In Situ Measurement of Effective Vapor-Phase Porous Media Diffusion Coefficients. Environmental Science and Technology, volume 32, pages 3405-3409.

Johnson, P.C., P. Lundegaard, and Z. Liu, 2006, Source Zone Natural Attenuation at Petroleum Hydrocarbon Spill Sites – I: Site Specific Assessment Approach. Groundwater Monitoring and Remediation, volume 26, pages 82-92.

Klinkenberg, L.J., 1941, The Permeability of Porous Media to Liquids and Gases. American Petroleum Institute Drilling and Production Practice, pages 200-212.

Kreamer, D.K., E.P. Weeks, and G.M. Thompson, 1988, A Field Technique to Measure Tortuosity and Sorption-Affected Porosity for Gaseous Diffusion of Materials in the Unsaturated Zone with Experimental Results from Near Barnwell, South Carolina. Water Resources Research, volume 18, pages 1365-1378.

Maier, M. and H. Schack-Kirchner, 2014, Using the Gradient Method to Determine Soil Gas Flux: A Review. Agricultural and Forrest Meteorology, number 192-193, pages 78-95.

Mason, E.A., A.P. Malinauskas, and R.B. Evans III, 1967, Flow and Diffusion of Gases in Porous Media. Journal of Chemical Physics, volume 46, pages 3199-3216.

Mason, E.A. and A.P. Malinauskas, 1983, Gas Transport in Porous Media: The Dusty Gas Model. Chemical Engineering Monographs, series 17, Elsevier, New York, USA, 194 pages.

Millington, R.J. and J.M. Quirk, 1961, Permeability of Porous Solids. Transactions of the Faraday Society, volume 57, pages 1200-1207.

Reinecke, S.A. and B.E. Sleep, 2002, Knudsen Diffusion, Gas Permeability, and Water Content in an Unconsolidated Porous Medium. Water Resources Research, volume 38, pages 16.1-16.15.

Thorstenson, D.C. and D.W. Pollock, 1989, Gas Transport in Unsaturated Zones: Multi Component Systems and the Adequacy of Fick’s Law. Water Resources Research, volume 25, pages 477-507.

Tracy, M.K., 2015, Method Comparison for Analysis of LNAPL Natural Zone Depletion Using CO2 Fluxes. Masters of Science Thesis, Department of Civil and Environmental Engineering, Colorado State University, Fort Collins, Colorado, USA, 130 pages.

Webb, S.W., 2006, Gas Transport Mechanisms. in, Gas Transport in Porous Media, C.K. Ho and S.W. Webb, editors, chapter 2, Springer, The Netherlands, pages 1-26.

Webb, S.W. and K. Pruess, 2003, The Use of Fick’s Law for Modeling Trace Gas Diffusion in Porous Media. Transport in Porous Media, volume 51, pages 327-341.

Weeks, E.P., D.E. Earp, and G.M. Thompson, 1982, Use of Atmospheric Fluorocarbons F-11 and F-12 to Determine the Diffusion Parameters of the Unsaturated Zone in the Southern High Plains of Texas. Water Resources Research, volume 18, pages 1365-1378.

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