Modeling mass transfer in fracture flows with the time domain-random walk method
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
Published inComputational Geosciences
© The Authors 2019
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.
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Additional information about fundingFinancial support from the Finnish Research Programme on Nuclear Waste Management (KYT2018) is gratefully acknowledged.
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