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Semi‐analytic solutions of contaminant transport from deeply buried cylindrical repository surrounded by zoned media
Author(s) -
Leo C. J.,
Booker J. R.
Publication year - 1999
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(19991210)23:14<1797::aid-nag23>3.0.co;2-q
Subject(s) - laplace transform , dispersion (optics) , inversion (geology) , advection , homogeneous , space (punctuation) , mathematical analysis , mechanics , mathematics , geology , computer science , physics , thermodynamics , paleontology , structural basin , optics , operating system
Abstract This paper presents a semi‐analytic procedure for obtaining solutions of contaminant migration from a deeply buried cylindrical source surrounded by approximately annular zones of material where each of these zones is homogeneous with its own set of properties. The solution technique involves the use of Laplace transform to eliminate the time derivative of the advection‐dispersion equation governing contaminant transport. Solutions are found in the Laplace transform space and inverted numerically using an efficient inversion algorithm due to Talbot to obtain the concentrations in real space and time. Copyright © 1999 John Wiley & Sons, Ltd.