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

Author:

Liu Wenyi,Li Gongsheng,Jia Xianzheng

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.

Publisher

Canadian Center of Science and Education

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Unique identification of fractional orders in the fractional mobile–immobile solute transport system;Applied Mathematics in Science and Engineering;2023-10-26

2. Numerical Analysis of Direct and Inverse Problems for a Fractional Parabolic Integro-Differential Equation;Fractal and Fractional;2023-08-04

3. Parameters Estimation in a Time-Fractiona Parabolic System of Porous Media;Fractal and Fractional;2023-05-30

4. A priori estimates for solutions of boundary value problems for a time fractional parabolic system of fractured porous media;THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living;2023

5. Numerical solution of a time fractional parabolic system in fractured porous media;THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living;2023

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