钻井布局模型

本文的关键思想是找出在变化中的不变量 .对于第一小题 ,作者发现可以把所有的点“移到”一个方格中 ,而它们相对网格结点的距离不变 ,这样问题就得到了大大的简化 .对于第二题 ,本文发现坐标变换时各点之间的欧氏距离不变 ,利用各点的距离关系 ,给出一系列的判定条件 ,最后用优化算法 (充要条件 )判定 .第二题的算法对于第三题也是通用的 ,因此第三题应用第二题的方法来解决

Location Arrangement Model of Drilling Well

The key idea of this paper is to determine the invariants with respect to coordinate transformations. For the first problem, the authors find that all the ′wells′ can be moved into a single grid, and the distance from each well to the nearest crunode is a constant, therefor the question is greatly simplified. For the second question, since the Euclidean distance between two wells is constant under coordinates transformations, a series of necessary conditions are obtained to conclude whether the all given wells can be used. Furthermore, a optimization model is established to get a necessary and sufficient condition. The arithemetic of the second questino fits the third question as well. We can use the same method to treat the third question as in the second one.