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Angular spectral is spectral value map formed by estimating semblable coefficients of fast and slow shear wave or the variation of amplitude ratio of fast and slow shear wave with times and angles at a specified space point based on semblable theory of fast and slow shear wave, the angle value of this space point at a given time can be got by picking the maximum of angular spectral; the study reveals that fast and slow shear wave with different polarization direction should be separated using different rotation formula, eight formulas of separating fast and slow shear wave using clockwise rotation and counterclockwise rotation have been derived, and gained energy assignment rule and phase coincidence rule, in real data estimation, the rotation formula used for separating fast and slow shear wave can be uniquely determined on the two discriminating rules. On the basis of semblable theory of fast and slow shear wave, the delay time corresponding to the maximum of semblable coefficients at a specified point in a given time window is the delay time of fast and slow shear wave, delay time section of fast and slow shear wave can be got by moving space point and smoothing time window. The vertical variation values of delay time of fast and slow shear wave reflect the effect degree of vertical fractured reservoir on fast and slow shear wave which is defined as anisotropic coefficient, and section map of anisotropic coefficient can be obtained.

角度谱就是利用快慢横波的相似性原理,在某一空间点求出快慢横波的相似系数或快慢横波的振幅比值随着时间和角度的变化而形成的谱值图,拾取其极大值就得到该空间点某一时间的角度值;在研究中发现分离不同偏振方向的快慢横波应该采用不同的旋转公式,推导出了利用顺时针旋转和逆时针旋转分离快慢横波的八个公式,并给出了能量分配准则和相位一致性准则两个判别准则,在实际计算中利用这两个判别准则能唯一地确定分离快慢横波的旋转公式;根据快慢横波的相似性原理,在某一给定点和给定时窗内最大相似系数对应的延迟时间就是快慢横波的延迟时间,随着空间点的移动和时窗的滑动就可以得到快慢横波延迟时间的剖面图;快慢横波延迟时间与慢横波传播时间的比值定义为裂缝密度,并求出了裂缝密度剖面图;快慢横波延迟时间纵向上的变化值的大小反映了纵向上裂隙层对快慢横波影响的大小,定义为各向异性系数,并求出了各向异性系数的剖面图。

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