Hydrodynamic Solution to the Problem of Water Permeability of a Screen with Damaged Continuity

Abstract

The problem of water permeability of a thin impervious screen made of a polymeric geomembrane with flaws (damages) is considered. The screen consists of a covering layer and a ground base underlaid by a drainage bed. The solution is implemented using methods of theory of flow through a porous medium by means of the conformal mapping and velocity hodograph methods. The characteristic feature of this solution is the study of free pressurized–pressureless flow in a porousmediumthrough a continuous slit in the plane formulation. The basic computational dependences are presented and the calculations of the water permeability are carried out by means of the formulas obtained in comparison with the well-known dependences for a particular case.