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PML Absorbing Boundary Condition for Seismic Numerical Modeling by convolutional differentiator in Fluid-Saturated Porous Media

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Journal of Earth Science 2011年第3期22卷 377-385页

作者：李信富 Key Laboratory of Geo-detection(China University of Geosciences Beijing)Ministry of Education School of Geophysics and Information Technology China University of Geosciences

The perfectly matched layer（PML） was first introduced by Berenger as an absorbing boundary condition for electromagnetic wave *** this article,a method is developed to ex-tend the PML to simulating seismic wave propagation in fluid-saturated porous *** non-physical boundary is used at the computational edge of a Forsyte polynomial convolutional differenti-ator（FPCD） algorithm as an absorbing boundary condition to truncate unbounded *** incor-poration of PML in Biot＇s equations is *** results show that the PML absorbing bound-ary condition attenuates the outgoing waves effectively and eliminates the reflections adequately.

关键词： seismic wave numerical modeling convolutional differentiator PML absorbing boundary condition fluid-saturated porous medium.

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A staggered-grid convolutional differentiator for elastic wave modelling

A staggered-grid convolutional differentiator for elastic wa...

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中国科学院地质与地球物理研究所2015年度（第15届）学术年会

作者： Weijia Sun Binzhong Zhou Li-Yun Fu Key Laboratory of Earth and Planetary Physics Institute of Geology and Geophysics Chinese Academy of Science CSIRO Energy Key Laboratory of Petroleum Resources Institute of Geology and Geophysics Chinese Academy of Sciences

The computation of derivatives in governing partial differential equations is one of the most investigated subjects in the numerical simulation of physical wave propagation. An analytical staggered-grid convolutional differentiator(CD) for first-order velocity-stress elastic wave equations is derived in this paper by inverse Fourier transformation of the band-limited spectrum of a first derivative operator. A taper window function is used to truncate the infinite staggered-grid CD stencil. The truncated CD operator is almost as accurate as the analytical solution, and as efficient as the finite-difference(FD) method. The selection of window functions will influence the accuracy of the CD operator in wave simulation. We search for the optimal Gaussian windows for different order CDs by minimizing the spectral error of the derivative and comparing the windows with the normal Hanning window function for tapering the CD operators. It is found that the optimal Gaussian window appears to be similar to the Hanning window function for tapering the same CD operator. We investigate the accuracy of the windowed CD operator and the staggered-grid FD method with different orders. Compared to the conventional staggered-grid FD method, a short staggered-grid CD operator achieves an accuracy equivalent to that of a long FD operator, with lower computational costs. For example, an 8th order staggered-grid CD operator can achieve the same accuracy of a 16th order staggered-grid FD algorithm but with half of the computational resources and time required. Numerical examples from a homogeneous model and a crustal waveguide model are used to illustrate the superiority of the CD operators over the conventional staggeredgrid FD operators for the simulation of wave propagations.

关键词： Staggered-grid convolutional differentiator Elastic wave Forward modelling

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Theconvolutionaldiferentiatormethodfornu┐mericalmodelingofacousticandelasticwave┐fields

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Acta Seismologica Sinica(English Edition) 1996年第1期9卷 78-85页

作者：张中杰滕吉文杨顶辉

Based on the techniques of forward and inverse Fourier transformation, the authors discussed the design scheme of ordinary differentiator used and applied in the simulation of acoustic and elastic wavefields in isotropic media respectively. To compress Gibbs effects by truncation effectively, Hanning window is introduced in. The model computation shows that, the convolutional differentiator method has the advantages of rapidity, low requirements of computer′s inner storage and high precision, which is a potential method of numerical simulation.

关键词： acoustic equation elastic equation convolutional differentiator seismic wave simulation.

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