Pompage d'une nappe libre rechargée: solutions pour la charge hydraulique et le temps de transfert Pumping a recharged unconfined aquifer: solutions for the hydraulic head and the transfer time

摘要

Using the Dupuit assumptions, a new closed-form solution is established for steady-state pumping of an ideal unconfined aquifer that is recharged by infiltration. This new solution is complete for the two-part mathematical domain, which was not the case for previously partial solutions. A second new solution is then provided for the travel time of a non-reactive tracer to the pumping well, under steady-state conditions. The travel time integral has no known closed-form solution, but is easy to calculate, either numerically or using a simplified equation. The numerical calculation and the simplified equation give travel times very close to those obtained using finite element codes for saturated and unsaturated groundwater flow and particle tracking.