Document Detail


Simplified thermodynamic model for equilibrium capillary pressure in a fractal porous medium.
MedLine Citation:
PMID:  16383364     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
Defining a relation for equilibrium pressure in a porous medium has been difficult to do in terms of readily measurable parameters. We present a simplified analysis of this problem using the first law of thermodynamics combined with a fractal description of a porous system. The results show that the variation in fluid interfacial area with fluid volume, and the respective interfacial surface tensions, are dominant factors determining equilibrium capillary pressure. Departures from equilibrium are seen to occur when fluid-solid contact lines are in movement. By describing the pore space as fractal we are able to obtain an expression for the change in fluid interfacial area with respect to its volume, and the resulting model shows a strong fit to pressure data obtained from a capillary rise experiment conducted in a coarse-grained SiO2 sand.
Authors:
M R Deinert; J-Y Parlange; K B Cady
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Publication Detail:
Type:  Journal Article     Date:  2005-10-20
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  72     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2005 Oct 
Date Detail:
Created Date:  2005-12-30     Completed Date:  2006-04-13     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  041203     Citation Subset:  -    
Affiliation:
Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14850, USA.
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