Born-series approximation to volume-scattering wave for piecewise heterogeneous media |
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| Authors: | Geng-Xin Yu Li-Yun Fu |
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| Institution: | 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
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| 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 %. |
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