A simplified interpolation algorithm for the numerical simulation of the consolidation in composite foundation containing group of stone columns

Abstract

Based on Biot consolidation theory, a simplified interpolation algorithm under the finite element method and a corresponding modeling method for group of stone columns are proposed to solve the consolidation simulation problem of composite foundation containing group of stone columns. The correctness of the modeling method and computational program is confirmed by comparing the results from the unit cell model with those from axisymmetric model and analytical solution. Subsequently, the composite foundation model is used to verify the accuracy of this method in calculating the settlement change and consolidation time under load for composite foundation containing group of stone columns. Compared to detailed modeling, this method gets satisfactory results with simpler modeling and less computation time. In comparison to homogenization method, this method offers better computational accuracy and enables the stress analysis of stone column. Additionally, discussions on mesh sensitivity, number of stone columns and the influence of the upper structure provide guidelines for the application of this method in practical engineering projects.