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我们曾在“地质计算技术“1中将帕哈塔恰雅提供的一种曲面延拓方法作了介绍,这个方法从理论上讲是较完善的,理论模型的试验效果精度也比较高,只是数值计算速度慢,难以将此方法用于处理面积较大的测区。为此,我们针对提高计算速度的问题对该方法作了些改进,现叙述如下: 一、问题的提出全部数学推导见文章,在此仅作简要叙述考虑三维直角坐标系中任意曲面S,曲面上一点M与曲面外一点P分别用(x,y,z)和(ξ,η,ζ)表示,且z=f(x,y),见图1。
We have introduced a method of surface extension provided by Pahataqaja in “Geological Computing Technology” 1, which is theoretically perfect, and the experimental model of the theoretical model is more accurate in terms of accuracy The numerical calculation speed is slow, so it is difficult to use this method to deal with a large measuring area. To this end, we have made some improvements to the method to improve the computational speed, and are described as follows: I. All the mathematical derivation of the problem is presented in the article, which is only for a brief description. Considering the arbitrary surface S in a three-dimensional rectangular coordinate system, The point M and the point P outside the surface are denoted by (x, y, z) and (ξ, η, ζ), respectively, and z = f (x, y)