System modelling of the interaction between surface and ground waters in problems of hydrology

Abstract

The objective of the paper is to give a survey of the mathematical (quantitative) modelling of the interaction between surface water and groundwater. Besides describing the existing approach to such modelling and the main difficulties in its realization, the paper presents a brief review of the principal works on the subject under consideration including Soviet ones. The construction of such coupled models requires the development of methods of conjunction between models which represent surface and subsurface flows, which describe the different processes of water transfer and transformation, constituting the hydrological cycle, and which include the different components of hydrological, hydrogeological and water management systems (water bodies, streams, aquifers, etc.). Such models are of different complexities and have different dimensionality in space variables. The characteristic time-scales of transient processes for surface water and groundwater differ greatly, and this is of profound importance in the numerical modelling of their interconnected motion.