Forward modeling of the seismic wave field of pure qP waves in TTI media based on the pseudo-analytical method
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摘要: 近年来, 各向异性介质纯qP波正演模拟及逆时偏移成像技术受到广泛关注。常规拟声波方程存在伪横波干扰、受模型参数限制(ε≥δ)、传播不稳定和计算精度不高等因素影响, 极大地限制了其应用。为此, 本文将qP波拟微分方程变换到空间—波数域, 并通过坐标变换, 推导了时间域TTI介质二阶纯qP波波动方程; 为提高计算精度, 引入伪解析算法(pseudo analytical method, PAM), 实现了基于伪解析法的TTI介质纯qP波地震波场正演模拟。数值模拟结果表明:①本文方法克服了拟声波方程的局限性, 消除了伪横波干扰, 不受模型参数限制且地震波场能稳定传播; ②与其他方法相比, 伪解析法能有效提高数值模拟精度; ③简单及复杂模型测试验证了本文方法的正确性与适用性。Abstract: Forward modeling and reverse-time migration imaging techniques for pure quasi-P (qP) waves in anisotropic media have aroused extensive concern in recent years.However, conventional quasi-acoustic equations are subjected to the interference from quasi-shear waves, the limitation of model parameters (ε≥δ), propagation instability, and low calculation accuracy, thus significantly restricting their application.Hence, this study shifted the quasi-differential equation of qP waves to the space-wavenumber domain and derived the second-order pure qP wave equation of TTI media in the time domain through coordinate transformation.To improve the calculation accuracy, this study conducted the forward modeling of the seismic wave field of pure qP waves in TTI media based on the pseudo-analytical method (PAM).The numerical simulation results show that:(1)The method proposed in this study was free from the limitations of quasi-acoustic equations, the interference from quasi-shear waves, and model parameters, enabling stable propagation of the seismic wave field; (2)Compared to other methods, the PAM can effectively improve the numerical simulation accuracy; (3)The testing of simple and complex models verified the correctness and applicability of the proposed method.
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Key words:
- pseudo-analytical method /
- TTI media /
- pure qP waves /
- seismic wave field /
- forward modeling
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