Abstract: In this paper, Finite element method (FEM) coupled with Element free Galerkin method (EFGM), is developed it, not only takes advantage of FEM, but also gives EFGM local technique and element-free character. Both make it has more advantages in calculating. The paper introduces EFGM in details, and meantime dedues discrete equations of consolidation. It gives two examples of calculating and analyzing, the results of calculating point out that the implementation will achieve more accurate in the deformation of consolidation, another discovery is that an accurate solution of fluid flux can be obtained. In particularly, combining with FEM the results is more effective, in conclusion, EFGM is powerful complementary of FEM.

Key words: coupled method of FEM-EFGM, consolidation equation, pore-pressure