Analytical Solution for Conservative Solute Transport in One-Dimensional Homogeneous Porous Formations with Time-Dependent Velocity

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. 2009 ASCE.

authors

• Singh, Vijay

published proceedings

• JOURNAL OF ENGINEERING MECHANICS

author list (cited authors)

• Singh, M. K., Singh, V. P., Singh, P., & Shukla, D.

citation count

• 27

complete list of authors

• Singh, Mritunjay Kumar||Singh, Vijay P||Singh, Premlata||Shukla, Divya

publication date

• September 2009

publisher

• American Society of Civil Engineers (ASCE)  Publisher

published in

• Journal of Engineering Mechanics  Journal

keywords

• 40 Engineering
• 4005 Civil Engineering
• 4017 Mechanical Engineering

Digital Object Identifier (DOI)

• 10.1061/(ASCE)EM.1943-7889.0000018

start page

• 1015

end page

• 1021

volume

• 135

issue

• 9

URL

• http%3A%2F%2Fdx.doi.org%2F10.1061%2F%28asce%29em.1943-7889.0000018