Steady State Groundwater Seepage in Sloping Unconfined Aquifers RP Chapuis

Abstract

This Commentary has three aims: (1) to state the complete extended Boussinesq equation, from which its abridged and commonly used form derives, and the condition under which the latter represents the complete one with sufficient accuracy; (2) to draw attention: (a) to an analytical steady-state solution of the nonlinear extended equation of Boussinesq derived by Henderson and Wooding (1964) and reworked by Basha and Maalouf (2005), and (b) to McEnroe’s (1993) solution of Eq. 21 in Chapuis (2011); and (3) to discuss steady-state solutions of two linearised forms of the extended equation of Boussinesq, giving criteria under which the linear solutions approximate the nonlinear solutions well.