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

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Modeling mass transfer in fracture flows with the time domain-random walk method. / Kuva, J.; Voutilainen, M.; Mattila, K.

In: COMPUTATIONAL GEOSCIENCES, 2019.

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Kuva, J. ; Voutilainen, M. ; Mattila, K. / Modeling mass transfer in fracture flows with the time domain-random walk method. In: COMPUTATIONAL GEOSCIENCES. 2019.

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@article{bd5937cce8a84899a6ff441f22ccc69c,
title = "Modeling mass transfer in fracture flows with the time domain-random walk method",
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",
author = "J. Kuva and M. Voutilainen and K. Mattila",
year = "2019",
doi = "10.1007/s10596-019-09852-5",
language = "English",
journal = "COMPUTATIONAL GEOSCIENCES",
issn = "1420-0597",
publisher = "Springer Verlag",

}

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TY - JOUR

T1 - Modeling mass transfer in fracture flows with the time domain-random walk method

AU - Kuva, J.

AU - Voutilainen, M.

AU - Mattila, K.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Advection

KW - Breakthrough curve

KW - Matrix diffusion

KW - Porous media

KW - Simulation

KW - Solute transport

U2 - 10.1007/s10596-019-09852-5

DO - 10.1007/s10596-019-09852-5

M3 - Article

JO - COMPUTATIONAL GEOSCIENCES

JF - COMPUTATIONAL GEOSCIENCES

SN - 1420-0597

ER -