The report presents the development of the time-boundary element methodology and a
description of the related software based on a stepped method of numerical inversion of the
integral Laplace transform in combination with a family of Runge-Kutta methods for analyzing
3-D mixed initial boundary-value problems of the dynamics of poroelastic bodies. The results of
the numerical investigation are presented. The investigation methodology is based on directapproach
boundary integral equations of 3-D isotropic linear theory of poroelasticity in Laplace
transforms. Poroelastic media are described using Biot models with four functions. With the help
of the boundary-element method, solutions in time are obtained, using the stepped method of
numerically inverting Laplace transform on the nodes of Runge-Kutta methods.
Keywords: poroelastic half-space; wave propagation; boundary element method.
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