Affordable Access

Analytic solutions for unconfined groundwater flow over a stepped base

Authors
Journal
Journal of Hydrology
0022-1694
Publisher
Elsevier
Publication Date
Volume
177
Identifiers
DOI: 10.1016/0022-1694(95)02791-2

Abstract

Abstract Two new exact solutions are presented for uniform unconfined groundwater flow over a stepped base; one for a step down in the direction of flow, the other for a step up in the direction of flow. These are two-dimensional solutions of Laplace's equation in the vertical plane, and are derived using the hodograph method and conformal mappings on Riemann surfaces. The exact solutions are compared with approximate one-dimensional solutions which neglect the resistance to vertical flow. For small horizontal hydraulic gradients typical of regional groundwater flow, little error is introduced by neglecting the vertical resistance to flow. This conclusion may be extended to two-dimensional analytical models in the horizontal plane, which neglect the vertical resistance to flow and treat the aquifer base as a series of flat steps.

There are no comments yet on this publication. Be the first to share your thoughts.