Influence of the ground capillarity and of evaporation from the free groundwater surface on filtration from canals

Abstract

Mathematical models of certain groundwater flows from a canal in the presence of free-surface evaporation are considered on the basis of the two-dimensional theory of steady-state filtration. Mixed boundary-value problems of analytical-function theory are formulated and solved with the Polubarinova-Kochina method for studying such flows. Algorithms of calculation of the dimensions of the saturation zone in situations where, in filtration of water from a canal, the capillarity of its ground or the level of water in it are allowed for are based on these models. Using the obtained exact analytical dependences and numerical calculations, we made a detailed analysis of the structure and characteristic features of the modeled processes and of the influence of all physical characteristics of the models on the dimensions of the saturation zone.