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Computational Geosciences

, Volume 23, Issue 5, pp 953–967 | Cite as

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

  • J. KuvaEmail author
  • M. Voutilainen
  • K. Mattila
Open Access
Original Paper

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

Matrix diffusion Advection Porous media Solute transport Breakthrough curve Simulation 

Notes

Funding information

Financial support from the Finnish Research Programme on Nuclear Waste Management (KYT2018) is gratefully acknowledged.

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Authors and Affiliations

  1. 1.Geological Survey of FinlandEspooFinland
  2. 2.Department of ChemistryUniversity of HelsinkiHelsinkiFinland
  3. 3.Department of PhysicsUniversity of JyväskyläJyväskyläFinland
  4. 4.Laboratory of PhysicsTampere University of TechnologyTampereFinland

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