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.

published proceedings


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

  • March 2009