Abstract

The numerical simulation of the stress-strain state of the soil mass at the base of the settled foundations of structures with the aim of predicting the possibility of their rise by the method of compensating directed discharge is based on the developed finite element method (FEM) program, verified on a number of test problems. The verification results are compared with the decisions of O. Zenkevich [ p. 3], with analytic solutions of V.G. Rekacha [p. 5] and G. Lame [p. 6]. Comparisons of the results of a numerical solution of the inverse Lame problem are presented. The error in the results of the comparisons does not exceed 0,5 %. In the framework of the linear theory of elasticity, inverse problems have been solved for obtaining displacements on the day surface of the soil at the base of the foundation of the structure with targeted injection of self-expanding mixtures in the thickness of the soil base. The process of targeted injection of self-expanding mixtures using the FEM is modeled by point displacements of the nodes of the computational domain and a change in the boundary conditions. The results obtained on the displacements of the day surface, depending on the local increase in volume in the soil stratum, allow us to judge about the adequate operation of the program and the possibilities of numerical modeling of the processes of work during compensatory injection.

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