TECHNICAL NOTES
Mar 27, 2010

Analytical Solution for Two-Dimensional Solute Transport in Finite Aquifer with Time-Dependent Source Concentration

Publication: Journal of Engineering Mechanics
Volume 136, Issue 10

Abstract

Using the Hankel Transform Technique, an analytical solution is derived for two-dimensional solute transport in a homogeneous isotropic aquifer. The aquifer is subjected to time-dependent point source contamination. The solution is derived under two conditions: (1) the flow velocity in the aquifer is a sinusoidally varying function and (2) the flow velocity is an exponentially decreasing function. Initially the aquifer is assumed solute free. The analytical solution is illustrated using an example.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 136Issue 10October 2010
Pages: 1309 - 1315

History

Received: Nov 4, 2009
Accepted: Mar 22, 2010
Published online: Mar 27, 2010
Published in print: Oct 2010

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Authors

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Mritunjay Kumar Singh [email protected]
Associate Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India (corresponding author). E-mail: [email protected]
Premlata Singh [email protected]
Ph.D. Candidate, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India. E-mail: [email protected]
Vijay P. Singh [email protected]
Caroline and William N. Lehrer Distinguished Chair in Water Engineering and Professor, Dept. of Biological and Agricultural Engineering and Dept. of Civil and Environmental Engineering, Texas A&M Univ., 321 Scoates Hall, 2117 TAMU, College Station, TX 77843-2117. E-mail: [email protected]

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