Mathematical Modeling of Transient Water Interactions Between a Sloping Aquifer and an Adjusting Stream

Abstract

Due to the constantly changing hydrological conditions of the surrounding water reservoirs, estimating water table changes in response to stream-stage variations and downward recharge is an emerging area in hydrology. Mathematical modeling is the emerging tool for predicting water table behavior in many complex geological situations. In this paper, a stream-aquifer model is considered and variations in the water table height have been calculated. At one end, the aquifer is in contact with a constant water level, and at the other end, the water level is rising exponentially from an adjoining stream. An analytical equation is solved by the Laplace Transform method for estimation of water table fluctuations in response to combined effects of bed slope and non-uniform recharge and seepage.