Abstract: The numerical manifold method is a promising numerical method which uses a dual coverage system consisting of both mathematical and physical coverages. It has the advantages of flexible handling of boundary problems, efficient meshing and convenient improvement of approximation accuracy. In this paper, unlike the traditional numerical manifold method which cuts the mathematical coverage to form the physical coverage according to the interface, it is based on the weak discontinuous physical coverage. A new weight function is constructed using the refraction law in the manifold element to establish the local approximation, and it is applied to the steady seepage problem. The accuracy and convenience of the method in solving discontinuous interface problems is demonstrated through the analysis of the calculation results of typical seepage flow problems.

Key words: numerical manifold method, seepage analysis, heterogeneity, material interface, refraction law, weak discontinuous