Abstract
Based on modification of Biot dynamic consolidation equation, the equations in saturated soil plane normal, out-of-plane tangential and the tangential plane are calculated by method of separation of variables and operator decomposition, analytical solutions of the displacement of the saturated soil skeleton and the pore are obtained under the corresponding conditions. Then the physical equations of Biot saturated porous media are expressed in two parts by combined use of geometric equations, the three-dimensional artificial boundary of saturated soil considering energy dissipation and transformation is established. Finally, numerical examples of classic wave motion problems demonstrate that high precision is achieved by use of three-dimensional visco-elastic boundaries, and that the boundaries can be used in analysis of three-dimensional wave motion problems easily.
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