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Porous Media Problems

SIAM Journal on Mathematical Analysis, 1980
Laminar isothermal fluid flow of two immiscible compressible fluid phases in a porous medium is formulated in terms of four unknown functions $\rho _1$, $\rho _2$, $S_1$ and $S_2$ in a pair of partial differential equations \[ \frac{\partial } {{\partial t}}\left[ {\phi (x,t)S_i \rho _i } \right] = \frac{\partial } {{\partial x}}\left\{ {\kappa (x,t ...
Ford, Wayne T.   +2 more
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Flow in Porous Media

SPE Latin America/Caribbean Petroleum Engineering Conference, 1994
Abstract The aim of this paper is to review the numerical simulation methods now being used for dealing with fluid displacement in porous media. One of them is the invasion percolation method, IP, which applies where capillary forces are dominant with respect to viscous forces at the fluid interface.
R. Baigorria   +3 more
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Capillary rise in porous media

Physica A: Statistical Mechanics and its Applications, 2001
Capillary rise experiments were performed in columns filled with glass beads and Berea sandstones, using visual methods to register the advance of the water front. For the glass bead filled columns, early time data are well fitted by the Washburn equation. However, in the experiments, the advancing front exceeded the predicted equilibrium height.
Marcelo, Lago, Mariela, Araujo
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Porous Media

2010
A General Set of Bioheat Equations Based on the Volume Averaging Theory, Akira Nakayama, Fujio Kuwahara, and Wei Liu Introduction Volume Averaging Procedure Governing Equation for Blood Flow Two-Energy Equation Model for Blood Flow and Tissue Three-Energy Equation Model for Countercurrent Heat Transfer in a Circulatory System Effect of Spatial ...
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Flow in Porous Media

Annual Review of Fluid Mechanics, 1970
The problems of flow and transport in porous media present many fascinating challenges to students of mechanics: and it is surprising that, over the years, these questions have received relatively little attention at the Congresses and Symposia of IUTAM and of its predecessors.
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Tortuosity in Porous Media

Nature, 1961
THE tortuosity, T, of a porous medium such as sandstone is a quantity that has been interpreted in various and sometimes conflicting ways, particularly its relation to porosity, ϕ, and formation factor, F (refs. 1–4). Tortuosity originally was understood to mean the square of the quotient average length of a flow-line divided by the net distance ...
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Fluids in Porous Media

2016
This book introduces the reader into the field of the physics of processes occurring in porous media. It targets Master and PhD students who need to gain fundamental understanding the impact of confinement on transport and phase change processes. The book gives brief overviews of topics like thermodynamics, capillarity and fluid mechanics in order to ...
Huinink, H.P., Ruijten, P., Arends, T.
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