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针对VTI(关于垂直轴横向各向同性)介质之间的界面、VTI介质和液体之间的界面以及VTI介质弹性半空间的自由界面提出了一种精确的计算反射/传输系数的快速算法.也对过入射临界角入射的情况进行了特别的考虑和讨论.尽管我们仅对VTI介质模型进行了数值计算,但是计算的结果也可推广到HTI(关于水平轴横向各向同性)介质模型中.和前人所做的研究工作相比较,这种算法不仅适用于椭圆各向异性介质之间边界反射/传输系数的计算,而且也适用于一般各向异性介质之间边界反射/传输系数的计算,这种算法的计算精度更高,速度更快.文章还依据国外已发表的岩石各向异性参数和物理参数,利用该算法对上述界面的反射/折射系数进行了计算,分析和讨论了岩石各向异性对反射/传输系数的影响,并且用斯耐尔定理和能量平衡原理对计算结果的正确性进行了验证。
A fast algorithm for accurate reflection / transmission coefficients calculation is proposed for the VTI (perpendicular to the transverse isotropy) media interface, the interface between the VTI media and the liquid, and the free interface of the VTI elastic half-space. Particular considerations and discussions have been made on the incidence of incident critical angle incidence.Although we have only numerically calculated the VTI media model, the results of the calculations can also be generalized to HTI (transverse horizontal isotropic) media models. Compared with previous studies, this algorithm is not only suitable for the calculation of the boundary reflection / transfer coefficient between elliptical anisotropic media, but also for the calculation of the boundary reflection / transfer coefficient between general anisotropic media , This algorithm is more accurate and faster.According to the published rock anisotropy parameter and physical parameter in foreign countries, the reflection / refraction coefficient of the above interface is calculated by using this algorithm, the rock is analyzed and discussed Anisotropy on the reflection / transmission coefficient, and the use of Snell’s theorem and energy balance theory to verify the correctness of the results.