Numerical inversion of the Laplace transform solution to radial dispersion in a porous medium

Journal Article · Sun Feb 01 04:00:00 EST 1981 · Water Resour. Res.; (United States)

DOI:https://doi.org/10.1029/WR017i001p00250· OSTI ID:7021710

Moench, A F; Ogata, A

A special form of the numerical inversion of the Laplace transform described by Stehfest 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 with a finite difference scheme. 10 references.

• OSTI ID: 7021710
• Journal Information: Water Resour. Res.; (United States), Journal Name: Water Resour. Res.; (United States) Vol. 17:1; ISSN WRERA
• Country of Publication: United States
• Language: English

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DISPERSIONS
FLOW MODELS
FLUID FLOW
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MATERIALS
MATHEMATICAL MODELS
MATHEMATICS
NUMERICAL ANALYSIS
POROUS MATERIALS
TRANSFORMATIONS