A combined application of the boundary element method and Lobatto time-stepping procedure in 3-D partially saturated poroelastic problems

Abstract

The report presents a modification of a time-step scheme on the nodes of Runge-Kutta methods for solving 3-D dynamic poroelastic problems using the boundary element method. To describe poroelastic medium, Biot’s mathematical model of a material is employed, in which solid phase and two fluid phases, filling the pores -liquid and gas, are discerned. 2- and 3-stage Lobatto methods were chosen as a particular example of Runge-Kutta methods. A comparison of the results obtained using the Lobatto method and the Euler method is presented.