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


  • 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.

author list (cited authors)

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

citation count

  • 21

publication date

  • March 2009