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Title: Stochastic models of solute transport in highly heterogeneous geologic media

Abstract

A stochastic model of anomalous diffusion was developed in which transport occurs by random motion of Brownian particles, described by distribution functions of random displacements with heavy (power-law) tails. One variant of an effective algorithm for random function generation with a power-law asymptotic and arbitrary factor of asymmetry is proposed that is based on the Gnedenko-Levy limit theorem and makes it possible to reproduce all known Levy {alpha}-stable fractal processes. A two-dimensional stochastic random walk algorithm has been developed that approximates anomalous diffusion with streamline-dependent and space-dependent parameters. The motivation for introducing such a type of dispersion model is the observed fact that tracers in natural aquifers spread at different super-Fickian rates in different directions. For this and other important cases, stochastic random walk models are the only known way to solve the so-called multiscaling fractional order diffusion equation with space-dependent parameters. Some comparisons of model results and field experiments are presented.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
Earth Sciences Division
OSTI Identifier:
971505
Report Number(s):
LBNL-2325E
Journal ID: ISSN 1539-1663; VZJAAB; TRN: US201004%%184
DOE Contract Number:  
DE-AC02-05CH11231
Resource Type:
Journal Article
Journal Name:
Vadose Zone Journal
Additional Journal Information:
Journal Volume: 7; Journal Issue: 4; Related Information: Journal Publication Date: 2008; Journal ID: ISSN 1539-1663
Country of Publication:
United States
Language:
English
Subject:
54; 58; ALGORITHMS; AQUIFERS; ASYMMETRY; DIFFUSION; DIFFUSION EQUATIONS; DISTRIBUTION FUNCTIONS; FRACTALS; SOLUTES; TRANSPORT

Citation Formats

Semenov, V N, Korotkin, I A, Pruess, K, Goloviznin, V M, and Sorokovikova, O S. Stochastic models of solute transport in highly heterogeneous geologic media. United States: N. p., 2009. Web.
Semenov, V N, Korotkin, I A, Pruess, K, Goloviznin, V M, & Sorokovikova, O S. Stochastic models of solute transport in highly heterogeneous geologic media. United States.
Semenov, V N, Korotkin, I A, Pruess, K, Goloviznin, V M, and Sorokovikova, O S. Tue . "Stochastic models of solute transport in highly heterogeneous geologic media". United States. https://www.osti.gov/servlets/purl/971505.
@article{osti_971505,
title = {Stochastic models of solute transport in highly heterogeneous geologic media},
author = {Semenov, V N and Korotkin, I A and Pruess, K and Goloviznin, V M and Sorokovikova, O S},
abstractNote = {A stochastic model of anomalous diffusion was developed in which transport occurs by random motion of Brownian particles, described by distribution functions of random displacements with heavy (power-law) tails. One variant of an effective algorithm for random function generation with a power-law asymptotic and arbitrary factor of asymmetry is proposed that is based on the Gnedenko-Levy limit theorem and makes it possible to reproduce all known Levy {alpha}-stable fractal processes. A two-dimensional stochastic random walk algorithm has been developed that approximates anomalous diffusion with streamline-dependent and space-dependent parameters. The motivation for introducing such a type of dispersion model is the observed fact that tracers in natural aquifers spread at different super-Fickian rates in different directions. For this and other important cases, stochastic random walk models are the only known way to solve the so-called multiscaling fractional order diffusion equation with space-dependent parameters. Some comparisons of model results and field experiments are presented.},
doi = {},
journal = {Vadose Zone Journal},
issn = {1539-1663},
number = 4,
volume = 7,
place = {United States},
year = {2009},
month = {9}
}