A new upscaling method for the solute transport equations
Zhiming Chen, Weibing Deng, Huang Ye · Discrete and Continuous Dynamical Systems · 2005
This paper proposes a new upscaling method in the simulations ofsolute transport in heterogeneous media. We provide a detailedconvergence analysis of the method under the assumption that theoscillating coefficients are periodic. While such a simplifyingassumption is not required by our method, it allows us touse homogenization theory to obtain the asymptotic structure ofthe solutions. Numerical experiments are carried out for solutetransport in a porous medium with a random log-normal relativepermeability to demonstrate the efficiency and accuracy of theproposed method.