Volume 16, Issue 1
Mixed method for compressible miscible displacement with dispersion in porous media

C. Chen

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 74-82

Published online: 2007-02

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  • Abstract
Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pressure of the mixture. The concentration is treated by a Galerkin method while the pressure is treated by a parabolic mixed finite element method. The effect of dispersion, which is neglected in [1], is considered. Optimal order estimates in $L^{2}$ are derived for the errors in the approximate solutions.
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@Article{NM-16-74, author = {C. Chen}, title = {Mixed method for compressible miscible displacement with dispersion in porous media}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {1}, pages = {74--82}, abstract = { Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pressure of the mixture. The concentration is treated by a Galerkin method while the pressure is treated by a parabolic mixed finite element method. The effect of dispersion, which is neglected in [1], is considered. Optimal order estimates in $L^{2}$ are derived for the errors in the approximate solutions.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10080.html} }
TY - JOUR T1 - Mixed method for compressible miscible displacement with dispersion in porous media AU - C. Chen JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 74 EP - 82 PY - 2007 DA - 2007/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10080.html KW - AB - Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pressure of the mixture. The concentration is treated by a Galerkin method while the pressure is treated by a parabolic mixed finite element method. The effect of dispersion, which is neglected in [1], is considered. Optimal order estimates in $L^{2}$ are derived for the errors in the approximate solutions.
C. Chen. (1970). Mixed method for compressible miscible displacement with dispersion in porous media. Numerical Mathematics, a Journal of Chinese Universities. 16 (1). 74-82. doi:
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