The calculation of soil squeezing effect in the construction process of soil squeezing pile has very important engineering practical value. Through the theoretical analysis method, the commonly used soil squeezing effect calculation theory, circular hole expansion theory, column hole expansion theory and spherical hole expansion theory are compared and analyzed, and the engineering applicability of each theory is clarified. The results show that the construction of soil compaction pile can be abstracted as the expansion process of column hole on the side of pile and the expansion process of ball hole at the end of pile in semi infinite space. Compared with the circular hole expansion theory, the column hole expansion theory is more in line with the engineering practice of soil compaction pile construction. The modified Cambridge model and Mohr Coulomb model commonly used in geotechnical engineering have been successfully applied to circular hole expansion theory, cylindrical hole expansion theory and spherical hole expansion theory. More advanced constitutive models need to be introduced into relevant expansion theory. The column hole expansion theory considering soil stratification, displacement boundary in hole, deterioration of soil mechanical properties and soil plug effect is a very valuable research direction.