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A numerical inversion of the laplace transform solution to radial dispersion in a porous medium
Author(s) -
Moench A. F.,
Ogata A.
Publication year - 1981
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr017i001p00250
Subject(s) - laplace transform , inversion (geology) , computation , inverse laplace transform , weighting , post's inversion formula , laplace transform applied to differential equations , mathematical analysis , two sided laplace transform , mathematics , porous medium , porosity , algorithm , physics , geology , green's function for the three variable laplace equation , geotechnical engineering , fourier transform , fractional fourier transform , acoustics , structural basin , paleontology , fourier analysis
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.