Born-series approximation to volume-scattering wave for piecewise heterogeneous media
Geng-Xin Yu1,2, Li-Yun Fu2
1 Beijing Chinese Language and Culture College, Beijing 102206, China 2 Key Laboratory of the Earth’s Deep Interior, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
Born-series approximation to volume-scattering wave for piecewise heterogeneous media
Geng-Xin Yu1,2, Li-Yun Fu2
1 Beijing Chinese Language and Culture College, Beijing 102206, China 2 Key Laboratory of the Earth’s Deep Interior, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
摘要An efficient approximate scheme is presented for wave-propagation simulation in piecewise heterogeneous media by applying the Born-series approximation to volume-scattering waves. The numerical scheme is tested for dimensionless frequency responses to a heterogeneous alluvial valley where the velocity is perturbed randomly in the range of 5 %–25 %, compared with the full-waveform numerical solution. Then, the scheme is extended to a heterogeneous multilayered model by calculating synthetic seismograms to evaluate approximation accuracies. Numerical experiments indicate that the convergence rate of this method decreases gradually with increasing velocity perturbations. The method has a fast convergence for velocity perturbations less than 15 %. However, the convergence becomes slow drastically when the velocity perturbation increases to 20 %. The method can hardly converge for the velocity perturbation up to 25 %.
Abstract：An efficient approximate scheme is presented for wave-propagation simulation in piecewise heterogeneous media by applying the Born-series approximation to volume-scattering waves. The numerical scheme is tested for dimensionless frequency responses to a heterogeneous alluvial valley where the velocity is perturbed randomly in the range of 5 %–25 %, compared with the full-waveform numerical solution. Then, the scheme is extended to a heterogeneous multilayered model by calculating synthetic seismograms to evaluate approximation accuracies. Numerical experiments indicate that the convergence rate of this method decreases gradually with increasing velocity perturbations. The method has a fast convergence for velocity perturbations less than 15 %. However, the convergence becomes slow drastically when the velocity perturbation increases to 20 %. The method can hardly converge for the velocity perturbation up to 25 %.
基金资助:the National Natural Science Foundation of China (Grant Nos. 41204097 and 41130418) and the China National Major Science and Technology Project (2011ZX05023-005-004)
通讯作者:
Geng-Xin Yu
E-mail: y_g_xin@126.com
引用本文:
Geng-Xin Yu, Li-Yun Fu. Born-series approximation to volume-scattering wave for piecewise heterogeneous media[J]. 《地震学报》英文版, 2014, 27(2): 159-168.
Geng-Xin Yu, Li-Yun Fu. Born-series approximation to volume-scattering wave for piecewise heterogeneous media. Earthquake Science, 2014, 27(2): 159-168.
