Reflection characteristics and parameter optimization of a local transmitting boundary for the modeling of elastic waves
XING Haojie1, LI Xiaojun2, LIU Aiwen1, LI Hongjing3, ZHOU Zhenghua4, CHEN Su1
1. Institute of Geophysics, China Earthquake Administration, Beijing 100081, China;
2. College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China;
3. College of Civil Engineering, Nanjing Tech University, Nanjing 211816, China;
4. School of Transportation Engineering, Nanjing Tech University, Nanjing 211816, China
Abstract:In order to improve the boundary accuracy in the simulation of complex wave problems, the reflection characteristics of a new local transmitting boundary on elastic waves were thoroughly studied. In this case there are two groups (or 4 kinds) of reflection modes namely P-P, P-S and S-P, S-S, respectively. Reflection coefficients are defined on the basis of the potential functions of P and S waves. After transforming the wave field expressions of potential functions into that of u and w components and substituting the results into the boundary formulas, the expressions of reflection coefficients Rpp, Rps, Rsp and Rss were derived. Combining theoretical analyses with numerical experiments, the following results were obtained: Benefitted from the multiple computational wave velocities contained in the new boundary, a good simultaneous absorption of P and S waves with quite different velocities can be achieved; the property of elastic medium itself generates additional zero-reflection angles in reflection coefficients, which is advantageous to the boundary accuracy; sometimes the S-P reflection may suffer from abnormal large amplitude, which is unacceptable in practical simulations, fortunately, this can be avoided when most of (means 1/1, 2/2, 2/3, 3/4, 3/5, …) the artificial wave velocities are strictly set to be the S-wave velocity.
邢浩洁1,李小军2,刘爱文1,李鸿晶3,周正华4,陈苏1. 弹性波模拟中局部透射边界的反射特征及参数优化[J]. 振动与冲击, 2022, 41(12): 301-312.
XING Haojie1, LI Xiaojun2, LIU Aiwen1, LI Hongjing3, ZHOU Zhenghua4, CHEN Su1. Reflection characteristics and parameter optimization of a local transmitting boundary for the modeling of elastic waves. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(12): 301-312.
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