Finite propagation for a pseudoparabolic equation: Two-phase non-equilibrium flows in porous media

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作者
Garcia-Azorero, Jesus [1 ]
de Pablo, Arturo [1 ]
机构
[1] Universidad Autonoma de Madrid, Madrid, Spain
关键词
Boundary conditions - Equations of motion - Filtration - Functions - Initial value problems - Mathematical models - Porous materials - Problem solving - Theorem proving - Two phase flow;
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摘要
The process where oil can be displaced by the water via capillary imbibition is studied. The model, q≡q1+q2 = 0, is considered. The classical porous medium equation (PME) is obtained in this process, represented by the equation &parttv-Δφ(v) = 0 (1), where φ(s) = -1/ρ∫0s f1(ξ)f2(ξ)/f1(ξ)+f2(ξ) J′(ξ)dξ.
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页码:551 / 573
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