PMID: 12786486Jun 6, 2003Paper

Numerical studies of the transport behavior of a passive solute in a two-dimensional incompressible random flow field

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Marco DentzWolfgang Kinzelbach

Abstract

We study the transport behavior of a passive scalar in a two-dimensional (2D) time-independent Gaussian random velocity field by efficient and highly accurate numerical simulations. The model under consideration has been used in order to gain basic understanding of transport processes in incompressible flow through heterogeneous porous media. The velocity field is derived from the linearized solution of the Darcy equation with a Gauss-distributed log-hydraulic conductivity. The transport of a passive scalar is studied by a high precision random-walk method, which allows for a systematic nonperturbative study of the ensemble and effective dispersion coefficients. The conclusive numerical results validate the range of applicability of the perturbation theory and the consistency of nonperturbative approaches to the transport problem in a random medium. Furthermore, we observe closed streamlines in incompressible 2D Gaussian random fields, which restricts the direct applicability of the simulation method for transport in heterogeneous porous media, and questions the results of similar studies that do not observe this phenomenon.

References

Jun 1, 1985·Physical Review A: General Physics·D S FisherS H Shenker
May 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M W Deem
Nov 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Blum, A J McKane
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D S DeanR R Horgan

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Citations

Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marco Dentz, Daniel M Tartakovsky
Jan 14, 2017·Physical Review. E·Marco DentzFelipe P J de Barros
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marco Dentz, Jesus Carrera

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