The model based on multi-potential surface theory was created directly by mathematical methods, and it avoided plastic potential functions or yield functions. The compliance matrix of multi- potential surface model in stress space was put forward. The multi-potential surface model improved using Shen Zhujiangsparabola to describe soil dilation was also discussed and verified. The comparis on was made between multi- potential surface model and Duncan-Changs E-μmodel by FEM. The calculation and analysis concerned in this paper may be beneficial for the further study and application of the multi-potential surface model.