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穿过有限地层模型的射线绘制方法在文献中已有报导。例如,1965年萨特来杰,曾处理了包含一系列界面的常速地层的两维模型,这些界面也可以是倾斜的。1971年索雷尔等人已经考虑了三维地层模型,这个模型是具有任意倾角和走向的平界面,以及具有一种特殊类型的球面。在1970年的初期,我们应用更一般的算法来绘制穿过三维模型的射线,所使用的模型包含任意特性的平面和曲面。这种算法作者在1971年11月勘探地球物理协会(SEG)第41次年会上发表了。设(X_1,X_2,X_3)是一个固定的右旋笛卡儿座标,这个座标表示所有的曲面和射线路程。假设我们已知一个点S(S_1,S_2,S_3)的座标和由S点(图1)发出的单位向
Methods of ray traversing through finite stratigraphic models have been reported in the literature. For example, in 1965 Saratljeh worked on a two-dimensional model of a normal velocity formation containing a series of interfaces that can also be skewed. In 1971, Soller et al. Have considered a three-dimensional formation model that is a flat interface with arbitrary dip and strike, as well as having a special type of sphere. In the early 1970s, we applied a more general algorithm to plot the rays that traveled through the 3D model, using a model that contained arbitrary features of planes and surfaces. The author of this algorithm was presented at the 41st Annual Meeting of the Exploration Geophysical Union (SEG) in November 1971. Let (X_1, X_2, X_3) be a fixed Cartesian coordinate, which represents all surfaces and ray paths. Suppose we know the coordinates of a point S (S_1, S_2, S_3) and the unit direction from S point (Fig.1)