REPORTS ON MEETINGS

Abstract

The problem of stratified groundwater flow (salt water intrusion) is considered in the general case where the hydrological boundaries can have any shape and the impervious bed can have any configuration. The recharge and discharge can also be considered according to any given function of time. The fluid density is assumed to be constant throughout each layer. The effect at the boundaries is considered, whether these are a river or a continuation of the aquifer with different parameters.

The systems of equations are taken in alternative matrix forms. The three time level implicit scheme is used and the multi sweep method is applied for the computation. The numerical procedure of the mathematical model is linearly unconditionally stable. In this procedure, no iteration routines are introduced, therefore it is considered exceptionally economical in memory and in computing time.