论文部分内容阅读
高斯束射线法是地震勘探中一种非常有效的数值模拟方法,是一般射线方法的概括和推广.它克服了一般射线方法在奇异性区域(如焦散区,临界区和阴影区等)振幅趋于无穷以及对介质近似和模型小细节变化敏感的缺点,高斯束射线法在奇异性区域比一般射线方法得到的结果要好得多.高斯束射线法是沿集中于中心射线邻近的正则性区域求解波动方程的高频近似解,该解主分量的振幅分布沿垂直于中心射线方向是高斯分布,所以称为高斯束射线法.高斯束射线法能对二维甚至三维的横向非均匀介质复杂构造计算合成地震记录,而且从计算的观点看,它避开了耗时的两点射线追踪,所需内存少,计算速度快.
Gaussian beam method is a very effective numerical simulation method in seismic exploration. It is the generalization and generalization of general ray method. It overcomes the shortcomings of the general ray method in the singularity region (such as the caustic region, the critical region and the shadow region, etc.) amplitude tends to infinity, and the media approximation and small model changes sensitive shortcomings, Gaussian beam method in the singularity region than the average The results of the ray method is much better. The Gaussian beam method is a high-frequency approximation solution to the wave equation along a regular region centered near the central ray. The amplitude distribution of the solution’s principal component is Gaussian distribution perpendicular to the central ray direction, so called Gaussian beam method. The Gaussian beam method can calculate synthetic seismograms for two-dimensional or even three-dimensional transversely inhomogeneous media with complex structures and avoids time-consuming two-point ray tracing from a computational point of view, requiring less memory and computational speed.