Applicability of Equations expressing Free-Surface-Groundwater Profiles

Abstract

This paper describes the applicability of the set of equations exprssing free-surfacegroundwater profiles over an impermeable layer.
The theoretical steady free-surface-groundwater profiles are given by equation (5), (6), (7) and (10). The unsteady state profile is given by the finite difference equation (17) which was derived from equation (3). The steps in equation (17) must satisfy condition (23).
The theoretical equations for free-surface-groundwater profiles satisfied the experimental data which were obtained by using a model sand slope for Re<4 and y<0.1. Re is Reynolds number and y is an average hydraulic gradient by equation (26).