On the application of genetic algorithms and gradient methods for problem of initial stress field reconstruction in poroelastic inhomogeneous column

Abstract

Initial stress field acts significantly on the deformational process for porous structure. For accurate modeling of dynamics behavior of porous media taking into account initial stress field the corresponding mathematical model is essential. One of the common approaches for construction of mathematical model of dynamic behavior for porous media with considering initial state is linearization method. In current article the equations of longitudinal vibrations for poroelastic inhomogeneous body taking into account initial stress field are constructed on the basis of linearization for common deformation tensor. An influence of initial stress rate and Biot modulus rate on the dynamic behavior of media is analyzed. The problem for reconstruction of initial stress for poroelastic inhomogeneous column is considered based on application for genetic algorithms and nonlinear optimization method with the application of modern numerical software. The series of numerical experiments for reconstruction of various distribution laws of initial stress are performed using described methods. Refs 12. Figs 3.