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Modeling mass transfer in fracture flows with the time domain-random walk method

Research output: Contribution to journalArticleScientificpeer-review

Details

Original languageEnglish
JournalCOMPUTATIONAL GEOSCIENCES
DOIs
Publication statusE-pub ahead of print - 2019
Publication typeA1 Journal article-refereed

Abstract

The time domain-random walk method was developed further for simulating mass transfer in fracture flows together with matrix diffusion in surrounding porous media. Specifically, a time domain-random walk scheme was developed for numerically approximating solutions of the advection-diffusion equation when the diffusion coefficient exhibits significant spatial variation or even discontinuities. The proposed scheme relies on second-order accurate, central-difference approximations of the advective and diffusive fluxes. The scheme was verified by comparing simulated results against analytical solutions in flow configurations involving a rectangular channel connected on one side with a porous matrix. Simulations with several flow rates, diffusion coefficients, and matrix porosities indicate good agreement between the numerical approximations and analytical solutions.

Keywords

  • Advection, Breakthrough curve, Matrix diffusion, Porous media, Simulation, Solute transport

Publication forum classification

Field of science, Statistics Finland