非均匀弹性介质地震波场伪谱法正演模拟
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摘要
基于一阶速度—应力弹性波波动方程,利用傅里叶变换将空间导数变换到频率域求解,对介质波场进行正演模拟。本文结合实际勘探中可能存在的地质问题,设计了多种地质模型,包括背斜模型、向斜模型、透镜体模型和断层--侵入体模型等,进行了伪谱法地震波场正演模拟、合成地震记录的实现,并分析了其波场动力学变化特征。结果表明,应用伪谱法对复杂模型的模拟有较高的精度和可靠性,可直接用于辅助地震野外工作设计、反演解释和资料解释等工作。
Based on first order velocity-stress wave equation,and using the Fourier transform,in which spatial derivatives are computed by multiplication in the frequency domain,the authors simulate the wave field of the medium. Combining with geological problems probably existed in practical exploration,the authors designed many geological models,such as the anticline-,syncline-,lens-,and fault-intrusion models,and realized pseudo-spectrum forward modeling,made synthetic seismogram and analyzed the characteristics of wave field dynamics. The results show that the pseudo-spectral method has high accuracy and reliability. It can be directly used to assist in the assistance of seismic field work design,and the inversion and data interpretation.
Based on first order velocity-stress wave equation,and using the Fourier transform,in which spatial derivatives are computed by multiplication in the frequency domain,the authors simulate the wave field of the medium. Combining with geological problems probably existed in practical exploration,the authors designed many geological models,such as the anticline-,syncline-,lens-,and fault-intrusion models,and realized pseudo-spectrum forward modeling,made synthetic seismogram and analyzed the characteristics of wave field dynamics. The results show that the pseudo-spectral method has high accuracy and reliability. It can be directly used to assist in the assistance of seismic field work design,and the inversion and data interpretation.
引文
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[8]Cerjan C,Kosloff D,Kosloff R,et al.A nonreflecting boundary condition for discrete acoustic and elastic wave equations[J].Geophysics,1985,50(4):705-708.
[9]钟伟,杨宝俊,张智.复杂介质地震波场研究进展[J].世界地质,2005,24(4):402-407,412.ZHONG Wei,YANG Bao-jun,ZHANG Zhi.Advance in research on seismic wave field of complex medium[J].Global Geology,2005,24(4):402-407,412.
[10]王宁,吕希华,闫磊,等.三维方位各向异性介质数值模拟及波场分析[J].世界地质,2010,29(1):130-138.WANG Ning,LXi-hua,YAN Lei,et al.Numerical simulation and wave field analysis of 3-D azinuthal anisotropy media[J].Global Geology,2010,29(1):130-138.
[2]Alford R M,Kelly K R,Boore D M.Accuracy of finitedifference modeling of the acoustic wave equation[J].Geophysics,1974,39(6):834-842.
[3]Fornberg B.The pseudo spectral method:comparisons with finite differences for the elastic wave equation[J].Geophysics,1987,52(4):483-501.
[4]Gazdag J.Modeling of the acoustic wave equation with transform methods[J].Geophysics,1984,47(10):1402-1412.
[5]Reshef M,Kosloff D.Three-dimensional acoustic modeling by the Fourier method[J].Geophysics,1988,9(53):1175-1183.
[6]Huang B S.A program for two-dimensional seismic wave propagation by the pseudo-spectral method[J].Computer&Geoscience,1992,18(2/3):289-307.
[7]Kosloff D,Baysal E.Forward modeling by a Fourier method[J].Geophysics,1988,3(9):1175-1183.
[8]Cerjan C,Kosloff D,Kosloff R,et al.A nonreflecting boundary condition for discrete acoustic and elastic wave equations[J].Geophysics,1985,50(4):705-708.
[9]钟伟,杨宝俊,张智.复杂介质地震波场研究进展[J].世界地质,2005,24(4):402-407,412.ZHONG Wei,YANG Bao-jun,ZHANG Zhi.Advance in research on seismic wave field of complex medium[J].Global Geology,2005,24(4):402-407,412.
[10]王宁,吕希华,闫磊,等.三维方位各向异性介质数值模拟及波场分析[J].世界地质,2010,29(1):130-138.WANG Ning,LXi-hua,YAN Lei,et al.Numerical simulation and wave field analysis of 3-D azinuthal anisotropy media[J].Global Geology,2010,29(1):130-138.
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