A numerical inversion of the Laplace transform solution to radial dispersion in a porous medium
Water Resources Research
By: A.F. Moench and A. Ogata
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Abstract
A special form of the numerical inversion of the Laplace transform described by Stehfest (1970) is applied to the transformed solution of dispersion in a radial flow system in a porous medium. The inversion is extremely simple to use because the weighting coefficients depend only on the number of terms used in the computation and not upon the transform solution as required by most numerical inversion techniques. The result obtained by use of this approximate inversion of the radial dispersion problem reproduced the curves obtained previously by Hoopes and Harleman (1967) with a finite difference scheme.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | A numerical inversion of the Laplace transform solution to radial dispersion in a porous medium |
| Series title | Water Resources Research |
| DOI | 10.1029/WR017i001p00250 |
| Volume | 17 |
| Issue | 1 |
| Year Published | 1981 |
| Language | English |
| Publisher | American Geophysical Union |
| Description | 3 p. |
| First page | 250 |
| Last page | 252 |
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