A high-order time-domain transmitting boundary for cylindrical wave propagation problems in unbounded saturated poroelastic media |
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| Institution: | 1. Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan;2. National Center for Research on Earthquake Engineering, Taipei 106, Taiwan;3. Department of Civil Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan;4. MOE Key Laboratory of New Technology for Construction of Cities in Mountain Area and School of Civil Engineering, Chongqing University, Chongqing 400045, China;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300354, China;2. Department of Civil Engineering, Northwestern Polytechnical University, Xi’an 710072, China;1. Institute of Earthquake Engineering, Dalian University of Technology, Dalian 116024, China;2. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300354, China;2. School of Civil Engineering, Tianjin University, Tianjin 300354, China;1. School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. Institut für Statik und Dynamik der Flächentragwerke, Fakultät für Ingenieurwissenschaften, Universität Duisburg-Essen, 45141 Essen, Germany;3. Federal Institute for Materials Research and Testing, 12200 Berlin, Germany |
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| Abstract: | Based on the u–p formulation of Biot equation with an assumption of zero permeability coefficient, a high-order transmitting boundary is derived for cylindrical elastic wave propagation in infinite saturated porous media. By this transmitting boundary the total stresses on the truncated boundaries of a numerical model, such as a finite element model, are replaced by a set of spring, dashpot and mass elements, with some additionally introduced auxiliary degrees of freedom. The transmitting boundaries are incorporated into the DIANA SWANDYNE II program and an unconditionally stable implicit time integration algorithm is adopted. Despite the assumption made in the derivation of the transmitting boundary, numerical examples show that it can provide highly accurate results for cylindrical elastic wave propagation problems in infinite saturated porous medium in case the u–p formulation is applicable. Although the direct applications of the proposed transmitting boundary to general two dimensional wave problems in infinite saturated porous media are not highly accurate, acceptable accuracy can still be achieved by placing the transmitting boundary at relatively large distance from the wave source. |
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