三维波动方程正演及模型应用研究
3-D wave equation forward modeling and its application of models
为了真实准确地反映三维地质体的波场特征，在频率-波数域将二维波场延拓算子推广到三维空间，采用三维波动方程延拓方法实现了三维地质模型的快速叠后正演。该方法采用傅立叶变换进行计算不仅计算迅速，算法稳定，而且可以采用相位移加插值方法处理一定的横向变速的情况，为更加灵活方便地模拟地下复杂的三维地质体提供了一种有效的工具。作为实例，首先进行了三维French模型的数值模拟，得到了和实际物理模型实验结果相一致的正演记录，并对比分析了三维偏移剖面和二维偏移剖面的偏移效果，验证了该方法的正确性和适用性。然后进行了三维缝洞地质模型的正演计算，得到了高信噪比的正演记录，对认识和解释三维缝洞地质体的地震波场特征很有帮助。
o correctly study the characters of 3D seismic wave-field, the paper extends 2D wave-field extrapolating operator to 3D space in F-K domain, and applies 3D wave equation to realize fast post-stack forward modeling of 3D geologic body. The method has fast calculating efficiency by FFT, stabile algorithm and can handle variable velocity in landscape orientation by PSPI, so it provides a new effective tool for conveniently simulating complex 3D underground geologic body. As the examples, the paper firstly simulates 3D French model, which can get the same results as practical physical model, and tests its correctness and applicability by contrastively analyzing the migrated profiles of 3D and 2D. Then the paper simulates the 3-D geological fractured model and gets its seismic profiles with high S/N, which is helpful for us to recognize and explain the characters of the model’s seismic wave-field.
熊晓军、贺振华、黄德济
地球物理学
三维地震正演，波动方程，波场延拓，French模型，缝洞模拟
3-D seismic forward modeling wave equation wave-field extrapolation fractured simulation French mode
熊晓军,贺振华,黄德济.三维波动方程正演及模型应用研究[EB/OL].(2005-11-04)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/200511-77.点此复制
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