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Numerical Simulation for a Fractal MIM Model for Solute Transport in Porous Media

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  • Wenyi Liu
  • Gongsheng Li
  • Xianzheng Jia

Abstract

A fractal mobile-immobile (MIM in short) model for solute transport in heterogeneous porous media is investigated from numerics. An implicit finite difference scheme is set forth for solving the coupled system, and stability and convergence of the scheme are proved based on the estimate of the spectral radius of the coefficient matrix. Numerical simulations with different parameters are presented to reveal the solute transport behaviors in the fractal case.

Suggested Citation

  • Wenyi Liu & Gongsheng Li & Xianzheng Jia, 2021. "Numerical Simulation for a Fractal MIM Model for Solute Transport in Porous Media," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(3), pages 1-31, June.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:3:p:31
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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