Inherent heterogeneous and anisotropic properties of the seepage under karst-engineering geological condition expressed more complexity because of the effect suffered leaching and highly stress field. In this article
K.G.Magomedov’s forecast model has been discussed based on analyzing leaching around the dam site. A disposal way for the permeability in karst pipeline has been given. The penetrating stochastic field around the dam site has been analyzed. A stochastic differential equation has been established for seepage-stress coupling based upon Taylor random FEM. A way has been given for seepage coefficient solution by using the coupling random modeling.