Analytical Solution for Conservative Solute Transport in One-Dimensional Homogeneous Porous Formations with Time-Dependent Velocity
Publication: Journal of Engineering Mechanics
Volume 135, Issue 9
Abstract
The space-time variation in contaminant concentration in unsteady flow in a homogeneous finite aquifer subjected to point source contamination is analytically derived under two conditions: (1) the flow velocity in the aquifer is of sinusoidal form; and (2) the flow velocity is an exponentially decreasing function. The analytical solution is illustrated using an example. Analytical solutions are perhaps most useful for benchmarking numerical codes and solutions.
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Published In
Journal of Engineering Mechanics
Volume 135 • Issue 9 • September 2009
Pages: 1015 - 1021
Copyright
© 2009 ASCE.
History
Received: Jul 18, 2008
Accepted: Dec 19, 2008
Published online: Mar 6, 2009
Published in print: Sep 2009
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