Analytical solutions for transport in porous media with Gaussian source terms

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doi: 10.1029/2000WR900355
Authors:Walker, Douglas D.; White, Janis E.
Author Affiliations:Primary:
Duke Engineering and Services, Albuquerque, NM, United States
Volume Title:Water Resources Research
Source:Water Resources Research, 37(3), p.843-848. Publisher: American Geophysical Union, Washington, DC, United States. ISSN: 0043-1397
Publication Date:2001
Note:In English. Includes appendix. 16 refs.; illus., incl. 1 table
Summary:Analytical solutions for the advective-dispersion equation for solute transport in porous media commonly assume a uniform distribution of mass within the source term. This paper derives an analytical solution for transport in porous media for a source term whose mass is distributed as a bivariate Gaussian spatial function. The solution is an extension of existing analytical solutions using a Green's function approach to separate out one-dimensional terms in a manner similar to previous authors. This approach illustrates the relationship of the bivariate Gaussian source term solution to other Green's function solutions and thus leads to a set of solutions for advective-dispersive transport with various source term and domain geometries. Comparison of point, bivariate Gaussian, and uniform source term solutions finds the greatest differences near the source, with discrepancies decreasing with travel distance. Copyright 2001 by the American Geophysical Union.
Subjects:Boundary conditions; Dispersivity; Environmental analysis; Equations; Fluid dynamics; Green function; Pollutants; Pollution; Porosity; Porous materials; Solute transport; Solutions; Transport
Record ID:2001046224
Copyright Information:GeoRef, Copyright 2018 American Geosciences Institute.
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