The dimensionless modulus of the subgrade reaction for embedded mat foundation in soft clays under the vertical load is suggested in this paper using 3D FEM analysis and the Mohr-Coulomb soil model. Besides the soil stiffness, the embedded depth and width of the raft, the depth of diaphragm wall, and the total structural loads were considered as influence factors. For applications to routine designs, foundation displacement, soil reaction, and modulus of subgrade reaction were examined by their non-dimensional measures. The optimized correlations with the foundation geometries are suggested based on various soil stiffness and structural load.
