用经典定理证明各向异性岩石界面异常入射角的存在

Existence of anomalous incident-angle on anisotropy rock interface verified by classic laws

对各向异性岩石参数和相速度以及反射/折射系数进行计算,结果表明在具有较强各向异性岩石界面可能存在一个对应折射P波的异常入射角。根据斯奈尔定理和能量守恒定理,验证了异常入射角存在的合理性。这个异常入射角位于过入射临界角区域。因此,在异常入射角存在的情况下,对应折射P波的入射角可分为三个区域:前入射临界角区域、入射临界角和异常入射角之间区域和过异常入射角区域。并且,在异常入射角处,折射P波的相速度解必须从一个根切换到另一个根,计算结果才能满足斯奈尔定理和能量守恒定理。

After massive calculations of anisotropic parameters, phase velocity and reflection/refraction coefficient, we find that there may be an anomalous incident-angle on the interface between two rocks with stronger anisotropy. With Snell's law and the energy balance principle we verify the rationality of the anomalous incident-angle existence. This anomalous incident-angle is located in the post-critical incident-angle area. Therefore, if the anomalous incident-angle exists, the incident-angle with responding to the refracted P-wave can be classified into three sections: the pre-critical incident-angle, the area between the critical incident-angle and the anomalous incident-angle, and the post-anomalous incident-angle area. Only the phase velocity roots of refracted P-wave must be switched at an anomalous incident-angle, the calculated results can satisfy Snell's law and the energy balance principle. © 2017, Editorial Department OIL GEOPHYSICAL PROSPECTING. All right reserved.