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运用化分散为集中的思想 ,把所有的井点都放在同一个单位网格内考虑 .在坐标可平移、旋转的条件下 ,利用寻找点群、有限步骤搜索法 ,对钻井布局的三个问题进行了解答 .对问题一 ,给出了两个不同算法 .并对题目提供的数据进行了求解 ,算法 1得到的结点为 (0 .36 1,0 .46 1) ,最多有 4个旧井点被同时利用 ,它们是第 2、4、5、10个井点 ;算法 2得到的结点为 (0 .390 ,0 .5 0 5 ) ,最多有 4个井点被利用 ,它们是第 2、4、5、10个井点 .对问题二 ,以结点为中心旋转一定的角度后 ,归结为问题一进行求解 ,求解结果为当网格倾斜角为 0 .78弧度 (相对原坐标系 ) ,结点平移到(0 .75 ,0 .0 76 )点 (在新坐标系下 ) ,可被同时利用的最多旧井点为 6个 ,它们是第 1、6、7、8、9、11个井点 ,对问题三 ,我们给出了充要条件 ,并给出了算法 .最后还分析了算法的优劣性 .
Using the idea of decentralization as concentration, all well points are considered in the same unit grid.Under the condition that the coordinates can be translated and rotated, by using search point group and finite step search method, The problem is answered.For the first problem, two different algorithms are given, and the data provided by the topic are solved.The algorithm has 1 nodes (0 .36 1,0 .46 1), up to 4 old Well points are used at the same time, they are the 2nd, 4th, 5th, 10th well points; the algorithm 2 gets the node (0.3390, 0.550), and up to 4 wells are utilized No. 2, No. 4, No. 5, No. 5 and No. 5. After solving the problem 2, rotating a certain angle with the node as the center, the problem is solved as follows: the solution result is that when the grid tilt angle is 0.78 radian Coordinate system), the node is translated to the point (0.75, 0.076) (under the new coordinate system), the maximum number of old wells that can be simultaneously used is 6, which are the first, sixth, seventh, eighth , 9,11 well points. For the third problem, we give the necessary and sufficient conditions and give the algorithm. Finally, we analyze the advantages and disadvantages of the algorithm.