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从基于Biot理论建立的双相各向异性弹性波方程出发,推导出二维双相PTL介质弹性波方程。在此基础上,高阶实现了高阶有限差分数值模拟,并对双相PTL介质模型和实际测井数据模型进行模拟试算。基于模拟结果,分析了各类波的传播规律,讨论了弹性参数和耗散系数对地震波传播的影响。结果表明:在双相PTL介质中存在快纵波、慢纵波和SV波,并具有各向异性,两种纵波有明显的区别,快纵波的速度远大于慢纵波的速度;慢纵波具有很强的衰减性,能否观察到慢纵波是与含流体地层介质的耗散性质有关。
Based on the bi-phase anisotropic elastic wave equation established based on Biot theory, the elastic wave equation of two-dimensional two-phase PTL media is deduced. On this basis, high-order finite-difference numerical simulation is carried out, and the dual-phase PTL medium model and actual logging data model are simulated. Based on the simulation results, the propagation rules of various types of waves are analyzed, and the influence of elastic parameters and dissipation factors on seismic wave propagation is discussed. The results show that fast P-wave, slow P-wave and SV-wave exist in two-phase PTL media and have anisotropy. There is a clear difference between the two P-wave media. The P-wave velocity is much faster than that of the P- Attenuation, the ability to observe slow P-wave is related to the dissipative nature of fluid-bearing formation media.