Transport Phenomena in Porous Media — Basic Equations

1984 ◽  
pp. 3-61 ◽  
Author(s):  
Jacob Bear ◽  
Yehuda Bachmat
Keyword(s):  
Porous Media ◽  
Transport Phenomena ◽  
Basic Equations

A numerical study for transport phenomena of nanoscale gas flow in porous media

2012 ◽  
Author(s):  
Tomoya Oshima ◽  
Shigeru Yonemura ◽  
Takashi Tokumasu
Keyword(s):  
Porous Media ◽  
Gas Flow ◽  
Numerical Study ◽  
Transport Phenomena ◽  
Flow In Porous Media

scholarly journals Experimental and theoretical memory diffusion of water in sand

2006 ◽  
Vol 10 (1) ◽  
pp. 93-100 ◽  
Author(s):  
G. Iaffaldano ◽  
M. Caputo ◽  
S. Martino
Keyword(s):  
Porous Media ◽  
Laboratory Experiments ◽  
Solid Particles ◽  
Memory Model ◽  
Flux Rate ◽  
Permeability Changes ◽  
Xixth Century ◽  
Diffusion In Porous Media ◽  
Basic Equations ◽  
Fluid Diffusion

Abstract. The basic equations used to study the fluid diffusion in porous media have been set by Fick and Darcy in the mid of the XIXth century but some data on the flow of fluids in rocks exhibit properties which may not be interpreted with the classical theory of propagation of pressure and fluids in porous media (Bell and Nur, 1978; Roeloffs, 1988). Concerning the fluids and the flow, some fluids carry solid particles which may obstruct some of the pores diminishing their size or even closing them, some others may chemically and physically react with the medium enlarging the pores; so permeability changes during time and the flow occurs as if the medium had a memory. In this paper we show with experimental data that the permeability of sand layers may decrease due to rearrangement of the grains and consequent compaction, as already shown qualitatively by Elias and Hajash (1992). We also provide a memory model for diffusion of fluids in porous media which fits well the flux rate observed in five laboratory experiments of diffusion of water in sand. Finally we show that the flux rate variations observed during the experiments are compatible with the compaction of sand, due to the amount of fluid which went through the grains locally, and therefore with the reduction of porosity.

Slip effects associated with Knudsen transport phenomena in porous media

Cryogenics ◽  
1988 ◽  
Vol 28 (2) ◽  
pp. 110-114 ◽  
Author(s):  
T.H.K. Frederking ◽  
W.A. Hepler ◽  
P.K. Khandhar
Keyword(s):  
Porous Media ◽  
Transport Phenomena ◽  
Slip Effects ◽  
Knudsen Transport

DIDACTIC EXPERIMENT IN FLUID FLOW IN POROUS MEDIA: A PROPOSAL FOR THE PRACTICAL EDUCATION OF TRANSPORT PHENOMENA

2019 ◽  
Vol 38 (1) ◽  
Author(s):  
Larissa de Souza Noel Simas Barbosa ◽  
Patrícia Aparecida Santiago ◽  
Paulo Seleghim Junior
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Transport Phenomena ◽  
Flow In Porous Media ◽  
Practical Education
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