Preliminary description of a hillslope-storage Boussinesq model for subsurface and overland flow

The Boussinesq model for subsurface flow in an idealized sloping aquifer has recently been extended to hillslopes of arbitrary geometry by incorporating the width function w(s) into the governing equation, were x is the distance along the length of the hillslopes. The resulting mathematical model can be simplified if three higher order terms containing (1/w)w’(x) are dropped. In this preliminary report we describe the model along with some characteristic hillslopes that will be used to test it and develop it further