各向异性黏弹性介质伪谱法波场模拟
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摘要
当地震信号通过复杂地球介质时 ,地层除了表现为各向异性 ,还表现为内在的黏弹性特征 因此 ,为准确描述地震波在地球介质中的传播特征 ,理想的地球介质模型应该能够模拟岩石的各向异性特征和衰减特征 .给出了各向异性黏弹性介质模型的波动方程 ,推导了伪谱法波场正演模拟的递推公式 ,并利用伪谱法实现了地震波波场数值模拟 .表明了该介质模型中地震波场特征与各向异性主轴方位和介质的黏滞性参数之间的关系
When a seismic signal propagates through a realistic medium in the Earth,in addition to anisotropy,the layers may show intrinsic viscoelastic behavior. Thus,an accurate description of wave propagation requires a rheology that accounts for the anisotropic and viscoelastic behavior of rocks. On this basis,the pseudo-spectral recursive formulae of viscoelastic and azimuthally anisotropic media are derived. Wavefield forward modeling with the pseudo-spectral method was carried out in viscoelastic and azimuthally anisotropic media. The numerical results from the pseudo-spectral method clearly show that seismic wavefield is closely related with the viscoelasticity and the azimuth of the principal axes of anisotropy.
引文
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