A combined model of water table and river stage evolution

An integral equation is derived which completely characterizes the interaction between a stream and the alluvial aquifer. Expressed in finite difference form, the equation is of great practical utility to solve pure flooding problems (i.e., negligible effect of pumping on river flows) as it relates river stages to return flows, pure conjunctive use of surface water and groundwater problems (i.e., negligible river stage fluctuations) as it relates return flows to pumping rates, or to solve composite problems. The numerical procedures to calculate the response function coefficients in terms of the physical characteristics of the system are given in detail.