Capillary pressure in a porous medium with distinct pore surface and pore volume fractal dimensions

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dc.contributor.utaustinauthorDeinert, M. R.en_US
dc.contributor.utaustinauthorDeinert, M. R.en
dc.creatorDeinert, M. R.en_US
dc.creatorDathe, A.en_US
dc.creatorParlange, J. Y.en_US
dc.creatorCady, K. B.en_US
dc.date.accessioned2017-07-18T20:09:56Z
dc.date.available2017-07-18T20:09:56Z
dc.date.issued2008-02en_US
dc.description.abstractThe relationship between capillary pressure and saturation in a porous medium often exhibits a power-law dependence. The physical basis for this relation has been substantiated by assuming that capillary pressure is directly related to the pore radius. When the pore space of a medium exhibits fractal structure this approach results in a power-law relation with an exponent of 3-D-v, where D-v is the pore volume fractal dimension. However, larger values of the exponent than are realistically allowed by this result have long been known to occur. Using a thermodynamic formulation for equilibrium capillary pressure we show that the standard result is a special case of the more general exponent (3-D-v)/(3-D-s) where D-s is the surface fractal dimension of the pores. The analysis reduces to the standard result when D-s=2, indicating a Euclidean relationship between a pore's surface area and the volume it encloses, and allows for a larger value for the exponent than the standard result when D-s>2.en_US
dc.description.departmentMechanical Engineeringen_US
dc.description.sponsorshipen_US
dc.identifierdoi:10.15781/T2TQ5RV99
dc.identifier.citationDeinert, M. R., A. Dathe, J. Y. Parlange, and K. B. Cady. "Capillary pressure in a porous medium with distinct pore surface and pore volume fractal dimensions." Physical Review E 77, no. 2 (2008): 021203.en_US
dc.identifier.doi10.1103/PhysRevE.77.021203en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/2152/61102
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.relation.ispartofserialPhysical Review Een_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionopenen_US
dc.subjectwater-retention curveen_US
dc.subjectsize distributionen_US
dc.subjectsoil porosityen_US
dc.subjectsandy soilsen_US
dc.subjectfragmentationen_US
dc.subjectcharacteren_US
dc.subjectscaleen_US
dc.subjectspaceen_US
dc.titleCapillary pressure in a porous medium with distinct pore surface and pore volume fractal dimensionsen_US
dc.typeArticleen_US

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