Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

Author:

Brenner Konstantin,Cancès Clément,Hilhorst Danielle

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computers in Earth Sciences,Computer Science Applications

Reference38 articles.

1. Alt, H.W., DiBenedetto, E.: Nonsteady flow of water and oil through inhomogeneous porous media. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 12(4), 335–392 (1985)

2. Alt, H.W., Luckhaus, S., Visintin, A.: On nonstationary flow through porous media. Ann. Math. Pures Appl. 136(4), 303–316 (1984)

3. Amaziane, B., Jurak, M., Žgaljić Keko, A.: Modeling and numerical simulations of immiscible compressible two-phase flow in porous media by the concept of global pressure. Comput. Geosci. 84, 133–152 (2010)

4. Andreianov, B., Brenner, K., Cancès, C.: Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. ZAMM Z. Angew. Math. Mech. doi: 10.1002/zamm.201200218

5. Andreianov, B., Cancès, C.: Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium. Comput. Geosci (2013). doi: 10.1007/s10596-012-9329-8

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