A1 Journal article (refereed)
Modeling mass transfer in fracture flows with the time domain-random walk method (2019)

Kuva, J., Voutilainen, M., & Mattila, K. (2019). Modeling mass transfer in fracture flows with the time domain-random walk method. Computational Geosciences, 23(5), 953-967. https://doi.org/10.1007/s10596-019-09852-5

JYU authors or editors

Publication details

All authors or editors: Kuva, Jukka; Voutilainen, Mikko; Mattila, Keijo

Journal or series: Computational Geosciences

ISSN: 1420-0597

eISSN: 1573-1499

Publication year: 2019

Volume: 23

Issue number: 5

Pages range: 953-967

Publisher: Springer

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.1007/s10596-019-09852-5

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/66107

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: computational fluid dynamics; advection; diffusion (physical phenomena); porosity; simulation

Free keywords: matrix diffusion, advection, porous media, solute transport, breakthrough curve, simulation

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 1