Semi-analytic solutions of contaminant transport from deeply buried cylindrical repository surrounded by zoned media

C. J. Leo; J. R. Booker

doi:10.1002/(SICI)1096-9853(19991210)23:14<1797::AID-NAG23>3.0.CO;2-Q

Semi-analytic solutions of contaminant transport from deeply buried cylindrical repository surrounded by zoned media

C. J. Leo, J. R. Booker

School of Engineering, Design & Built Environment

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	1797-1815
Number of pages	19
Journal	International Journal for Numerical and Analytical Methods in Geomechanics
Volume	23
Issue number	14 SPEC. ISS.
DOIs	https://doi.org/10.1002/(SICI)1096-9853(19991210)23:14<1797::AID-NAG23>3.0.CO;2-Q
Publication status	Published - 10 Dec 1999

Keywords

Contaminant migration
Deeply buried source
Laplace transform
Semi-analytical solutions
Zoned media

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10.1002/(SICI)1096-9853(19991210)23:14<1797::AID-NAG23>3.0.CO;2-Q

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title = "Semi-analytic solutions of contaminant transport from deeply buried cylindrical repository surrounded by zoned media",

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.",

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N2 - 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.

AB - 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.

KW - Contaminant migration

KW - Deeply buried source

KW - Laplace transform

KW - Semi-analytical solutions

KW - Zoned media

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DO - 10.1002/(SICI)1096-9853(19991210)23:14<1797::AID-NAG23>3.0.CO;2-Q

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JF - International Journal for Numerical and Analytical Methods in Geomechanics

IS - 14 SPEC. ISS.

ER -

Semi-analytic solutions of contaminant transport from deeply buried cylindrical repository surrounded by zoned media

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Keywords

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