钻井布局的几何变换模型  

Mathematical Model of Arrangement of Drilling Wells Based on Geometric Transformation

作　　者：黄希利[1] 邱铭铭[2] 方顺[2] 

机构地区：[1]装备指挥技术学院,基础部,北京,101416 [2]装备指挥技术学院,测量控制系,北京,101416

出　　处：《装备指挥技术学院学报》2002年第6期104-107,共4页Journal of the Academy of Equipment Command & Technology

摘　　要：研究勘探找矿时的钻井布局问题时,通过对正方形网格的平移与旋转,使得尽可能多的旧井在系统勘探时能够被利用,以节约钻探费用;指出其实质为平面上的2组点间的正交变换问题;建立了钻井布局的几何变换模型;得到了对正方形网格施以正交变换(平移和旋转)后所能利用的尽可能多的旧井数的算法; 对给出的数值例子,结果为:可利用的旧井数最大为6;同时给出了判断n口旧井能否全部被利用的充分条件和通用算法;数值计算例子表明该算法切实有效,有一定的通用性.The problem of arranging drilling wells in the course of systematic exploration is studied. For the sake of prudence the square mesh is translated and rotated so that more old wells can be reused. The essence is orthogonal transformation between two groups of points in the plane. The mathematical modeling of geometric transformation of arranging drilling wells is built. The algorithm of computing the biggest number of old wells that can be reused is given. For the given example, the biggest number of old wells that can be reused is 6. Furthermore, for arbitrary old wells in a certain region, the sufficient condition that all of the old wells can be used is also studied. The algorithm is given. The example indicates that the method is effective and can be applied widely in geological exploration.

关 键 词：钻井 布局 几何变换 数学模型 正交变换 

分 类 号：P631.8[天文地球—地质矿产勘探]