A viscous-spring transmitting boundary for cylindrical wave propagation in saturated poroelastic media |
| |
| Institution: | 1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan, China;2. School of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai, China |
| |
| Abstract: | Based on the u–U formulation of Biot equation and the assumption of zero permeability coefficient, a viscous-spring transmitting boundary which is frequency independent is derived to simulate the cylindrical elastic wave propagation in unbounded saturated porous media. By this viscous-spring boundary the effective stress and pore fluid pressure on the truncated boundary of the numerical model are replaced by a set of spring, dashpot and mass elements, and its simplified form is also given. A u–U formulation FEA program is compiled and the proposed transmitting boundaries are incorporated therein. Numerical examples show that the proposed viscous-spring boundary and its simplified form can provide accurate results for cylindrical elastic wave propagation problems with low or intermediate values of permeability or frequency content. For general two dimensional wave propagation problems, spuriously reflected waves can be greatly suppressed and acceptable accuracy can still be achieved by placing the simplified boundary at relatively large distance from the wave source. |
| |
| Keywords: | Saturated porous media Viscous-spring transmitting boundary Wave propagation problem Finite element method Unbounded domain |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
