A new upscaling method for the solute transport equations

Zhiming Chen; Weibing Deng; Huang Ye

doi:10.3934/dcds.2005.13.941

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2005, Volume 13, Issue 4: 941-960. Doi: 10.3934/dcds.2005.13.941

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A new upscaling method for the solute transport equations

1.
LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080
2.
Department of Mathematics, Nanjing University, Nanjing 210093

Received: August 31, 2004

Revised: January 31, 2005

Published: June 2005

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Abstract

This paper proposes a new upscaling method in the simulations of solute transport in heterogeneous media. We provide a detailed convergence analysis of the method under the assumption that the oscillating coefficients are periodic. While such a simplifying assumption is not required by our method, it allows us to use homogenization theory to obtain the asymptotic structure of the solutions. Numerical experiments are carried out for solute transport in a porous medium with a random log-normal relative permeability to demonstrate the efficiency and accuracy of the proposed method.

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Mathematics Subject Classification: Primary: 65M60, 65N30; Secondary: 76M10.

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