Abstract
When simulating seismic wave propagation in free space, it is essential to introduce absorbing boundary conditions to eliminate reflections from artificially truncated boundaries. In this paper, a damping factor referred to as the Gaussian damping factor is proposed. The Gaussian damping factor is based on the idea of perfectly matched layers (PMLs). This work presents a detailed analysis of the theoretical foundations and advantages of the Gaussian damping factor. Additionally, numerical experiments for the simulation of seismic waves are presented based on two numerical models: a homogeneous model and a multi-layer model. The results show that the proposed factor works better. The Gaussian damping factor achieves a higher Signal-to-Noise Ratio (SNR) than previously used factors when using same number of PMLs, and requires less PMLs than other methods to achieve an identical SNR.
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The research is supported by the National Natural Science Foundation of China (No. 61072118).
Yang Hao-Xing received his B.S. in Applied Mathematics from the National University of Defense Technology of China (NUDT). He is now a graduate student at the Department of Mathematics and System Science of NUDT. His research interests are mainly about the computational problems in reverse time migration of seismic data.
Wang Hong-Xia received her Ph.D. in Computational Mathematics from NUDT in 2004 and then held a postdoctoral researcher position in the Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences from November 2005 to October 2007. Now she is visiting the Courant Institute of Mathematical Sciences. Her research interests include multi-scale analysis, image processing, seismic data imaging and high-dimensional data analysis.
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Yang, HX., Wang, HX. A study of damping factors in perfectly matched layers for the numerical simulation of seismic waves. Appl. Geophys. 10, 63–70 (2013). https://doi.org/10.1007/s11770-013-0361-9
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DOI: https://doi.org/10.1007/s11770-013-0361-9