An existence result related to two-phase flows with dynamical capillary pressure

C. Cancès; C. Choquet; Y. Fan; I.S. Pop

An existence result related to two-phase flows with dynamical capillary pressure

C. Cancès, C. Choquet, Y. Fan, I.S. Pop

Center for Analysis, Scientific Computing and Applications

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

We consider a nonlinear degenerate pseudo-parabolic equation arising in the modeling of immiscible two-phase flows within porous media when the dynamic capillary pressure Pc = p(s) + T¿ts is a function of both the saturation s and its time derivative ¿ts. We show the existence of a weak solution to the problem using the compactness of a sequence of regularizations of the problem.

Original language	English
Title of host publication	Proceedings of the 4th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN'11, Saidia, Morocco, May 23-26, 2011)
Place of Publication	Granada
Publisher	Universidad de Granada
Pages	1-4
Publication status	Published - 2011

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title = "An existence result related to two-phase flows with dynamical capillary pressure",

abstract = "We consider a nonlinear degenerate pseudo-parabolic equation arising in the modeling of immiscible two-phase flows within porous media when the dynamic capillary pressure Pc = p(s) + T¿ts is a function of both the saturation s and its time derivative ¿ts. We show the existence of a weak solution to the problem using the compactness of a sequence of regularizations of the problem.",

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year = "2011",

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An existence result related to two-phase flows with dynamical capillary pressure. / Cancès, C.; Choquet, C.; Fan, Y. et al.
Proceedings of the 4th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN'11, Saidia, Morocco, May 23-26, 2011). Granada: Universidad de Granada, 2011. p. 1-4.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - An existence result related to two-phase flows with dynamical capillary pressure

AU - Cancès, C.

AU - Choquet, C.

AU - Fan, Y.

AU - Pop, I.S.

PY - 2011

Y1 - 2011

N2 - We consider a nonlinear degenerate pseudo-parabolic equation arising in the modeling of immiscible two-phase flows within porous media when the dynamic capillary pressure Pc = p(s) + T¿ts is a function of both the saturation s and its time derivative ¿ts. We show the existence of a weak solution to the problem using the compactness of a sequence of regularizations of the problem.

AB - We consider a nonlinear degenerate pseudo-parabolic equation arising in the modeling of immiscible two-phase flows within porous media when the dynamic capillary pressure Pc = p(s) + T¿ts is a function of both the saturation s and its time derivative ¿ts. We show the existence of a weak solution to the problem using the compactness of a sequence of regularizations of the problem.

M3 - Conference contribution

SP - 1

EP - 4

BT - Proceedings of the 4th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN'11, Saidia, Morocco, May 23-26, 2011)

PB - Universidad de Granada

CY - Granada

ER -

An existence result related to two-phase flows with dynamical capillary pressure

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