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 dim...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%.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.41204097 and 41130418)the China National Major Science and Technology Project(2011ZX05023-005-004)
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%.