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采用以裂缝走向为方位角的方位各向异性介质模型可以较好地描述裂缝性油气藏的实际情况,对弹性波在此介质中的传播过程进行准确的数值模拟有助于提高油气开采的准确程度。该文采用紧支集正交小波基对空间域进行多尺度离散,采用二阶精度有限差分算子对时域离散,推导得到了多尺度有限差分方法正演模拟的递推公式,并实现了相应的波传过程数值模拟。数值结果准确地反映了方位各向异性介质中波场的变化过程,可以清晰地观察到横波分裂和方位特征差异等现象。
The azimuthal azimuthal anisotropy medium model with fracture orientation can well describe the actual situation of fractured reservoirs. Accurate numerical simulation of elastic wave propagating in this medium can help to improve the accuracy of oil and gas exploration degree. In this paper, the compact orthogonal branchlets are used to carry out multi-scale spatial domain discretization. The second-order finite-difference finite-difference operator is used to discretize the time domain. The recursive formula for forward modeling of multi-scale finite difference method is deduced. The corresponding numerical simulation of wave propagation. The numerical results accurately reflect the changing process of the wave field in azimuthally anisotropic media, and the phenomena of shear wave splitting and azimuth difference can be clearly observed.