Homogenization of a one-dimensional model for compressible miscible flow in porous media
Bollettino dell'Unione Matematica Italiana (2003)
- Volume: 6-B, Issue: 2, page 399-414
- ISSN: 0392-4041
Access Full Article
topAbstract
topHow to cite
topChoquet, Catherine. "Homogenization of a one-dimensional model for compressible miscible flow in porous media." Bollettino dell'Unione Matematica Italiana 6-B.2 (2003): 399-414. <http://eudml.org/doc/195051>.
@article{Choquet2003,
abstract = {We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.},
author = {Choquet, Catherine},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {399-414},
publisher = {Unione Matematica Italiana},
title = {Homogenization of a one-dimensional model for compressible miscible flow in porous media},
url = {http://eudml.org/doc/195051},
volume = {6-B},
year = {2003},
}
TY - JOUR
AU - Choquet, Catherine
TI - Homogenization of a one-dimensional model for compressible miscible flow in porous media
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/6//
PB - Unione Matematica Italiana
VL - 6-B
IS - 2
SP - 399
EP - 414
AB - We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.
LA - eng
UR - http://eudml.org/doc/195051
ER -
References
top- AMIRAT, Y.- HAMDACHE, K.- ZIANI, A., Homogénéisation d'un modèle d'écoulements miscibles en milieu poreux, Asymptotic Anal., 3 (1990), 77-89. Zbl0702.35213MR1043964
- AMIRAT, Y.- HAMDACHE, K.- ZIANI, A., Homogenization of a model of compressible miscible flow in porous media, Boll. Un. Mat. Ital. B (7), 5 (1991), 463-487. Zbl0727.76093MR1111133
- AMIRAT, Y.- ZIANI, A., Global weak solutions for a parabolic system modeling a one-dimensional miscible flow in porous media, J. Math. Anal. Appl., 220 (1998), 697-718. Zbl0911.35063MR1614944
- BOURGEAT, A.- MIKELIĆ, A., Homogenization of two-phase immiscible flows in a one-dimensional porous medium, Asymptotic Anal., 9 (1994), 359-380. Zbl0814.35103MR1301170
- DOUGLAS, J. JR.- ROBERTS, J. E., Numerical methods for a model of compressible miscible displacement in porous media, Math. Comp., 41 (1983), 441-469. Zbl0537.76062MR717695
- KOVAL, E. J., A method for predicting the performance of unstable miscible displacements in heterogeneous media, SPEJ trans. AIME, 228 (1963), 145-154.
- LIONS, J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod/Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
- MURAT, F., Compacité par compensation, Ann. Scuola Norm. Sup. Pisa (4), 5 (1978), 489-507. Zbl0399.46022MR506997
- MURAT, F., Soluciones renormalizadas de EDP elipticas no lineales, Prépublication du Laboratoire d'Analyse Numérique, Université de Paris 6, 93023, 1993.
- PEACEMAN, D. W., Fundamentals of Numerical Reservoir Simulation, Elsevier, 1977.
- SCHEIDEGER, A. E., The Physics of Flow through Porous Media, Univ. Toronto Press, 1974. Zbl0095.22402
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.