# Nonsteady flow of water and oil through inhomogeneous porous media

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1985)

- Volume: 12, Issue: 3, page 335-392
- ISSN: 0391-173X

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topAlt, H. W., and Di Benedetto, E.. "Nonsteady flow of water and oil through inhomogeneous porous media." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 12.3 (1985): 335-392. <http://eudml.org/doc/83960>.

@article{Alt1985,

author = {Alt, H. W., Di Benedetto, E.},

journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},

keywords = {nonlinear partial differential equations; two immiscible fluids; porous medium; degenerate elliptic-parabolic equations},

language = {eng},

number = {3},

pages = {335-392},

publisher = {Scuola normale superiore},

title = {Nonsteady flow of water and oil through inhomogeneous porous media},

url = {http://eudml.org/doc/83960},

volume = {12},

year = {1985},

}

TY - JOUR

AU - Alt, H. W.

AU - Di Benedetto, E.

TI - Nonsteady flow of water and oil through inhomogeneous porous media

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

PY - 1985

PB - Scuola normale superiore

VL - 12

IS - 3

SP - 335

EP - 392

LA - eng

KW - nonlinear partial differential equations; two immiscible fluids; porous medium; degenerate elliptic-parabolic equations

UR - http://eudml.org/doc/83960

ER -

## References

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- [2] J. Bear, Dynamics of fluids in porous media, American Elsevier, New York, 1972. Zbl1191.76001
- [3] J. Bear, Hydraulics of Groundwater, Mc-Graw Hill, New York, 1979.
- [4] R.E. Collins, Flow of fluids through porous materials, Reinhold, New York, 1961.
- [5] E. Dibenedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., (IV), 130 (1982), pp. 131-177. Zbl0503.35018MR663969
- [6] J. DouglasJr., Finite difference methods for two-phase incompressible flow in porous media, Siam J. Numer. Anal., 20 (1983), pp. 681-696. Zbl0519.76107MR708451
- [7] J. DouglasJr. - B.L. Darlow - M.F. Wheeler - R.P. Kendall, Self-adaptive finite element and finite difference methods for two-phase immiscible flow, to appear.
- [8] J. Glimm - D. Marchesin - O. McBRYAN, Unstable fingers in two phase flow, Comm. Pure Appl. Math., 34 (1981), pp. 53-76. Zbl0469.76078MR600572
- [9] D. Kröner - S. Luckhaus, Flow of oil and water in a porous medium, J. Differential Equations, 55 (1984), pp. 276-288. Zbl0509.35048MR764127
- [10] S.N. Kruzkov - S.M. Sukorjanski, Boundary value problems for systems of equations of two phase porous flow type: statement of the problems, questions of solvability, justification of approximate methods, Mat. Sb., 33 (1977), pp. 62-80. Zbl0398.35039
- [11] O.A. Ladyzenskaja - N.N. Urel'tzeva, Linear and quasi-linear equations of elliptic type, Academic Press, New York (1968).
- [12] O.A. Ladyzenskaja - V.A. Solonnikov - N.N. Ural'tzeva, Linear and quasi-linear equations of parabolic type, Amer. Math. Soc. Transl. Math. Mono, vol. 23 (Providence, R.I., 1968). Zbl0174.15403
- [13] M.C. Leverett, Capillary behavior in porous solids, Trans. Amer. Inst. Mining and Metallurgical Engrs., 142 (1941), pp. 152-169.
- [14] A.E. Scheidegger, The Physics of flow through porous media, 3rd ed., Univ. of Toronto Press, Toronto, Ontario, 1974. Zbl0095.22402
- [15] A. Spivak - H.S. Price - A. Settari, Solution of the equations for multidimensional, two-phase, immiscible flow by variational methods, Soc. Pet. Eng. J., Feb. 1977, pp. 27-41.

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