二维圆弧型井眼轨道设计问题的通解  

General Solution of 2D Arc Well Trajectory Design

作　　者：鲁港[1] 王立波 王冠军 张欣水[3] 

机构地区：[1]中国石油辽河油田公司勘探开发研究院,辽宁盘锦124010 [2]中国石油长城钻探公司第二钻井分公司,辽宁盘锦124010 [3]辽河石油勘探局市场管理部,辽宁盘锦124010

出　　处：《探矿工程（岩土钻掘工程）》2009年第1期9-13,共5页Exploration Engineering:Rock & Soil Drilling and Tunneling

基　　金：中国石油天然气股份公司油气勘探超前共性科技项目"辽河探区西部凹陷深化勘探理论与实践"(编号:07-01C-01-04)

摘　　要：二维圆弧型井眼轨道是常规定向井、水平井轨道设计优先考虑的剖面类型,应用比较广泛。但是由于井段组合形式很多,并且对于同一种井段组合还有很多种未知数求解组合,推导每种井段组合和求解组合情况下的解的计算公式的工作非常繁重和复杂。研究了任意井段组合和任意求解组合的通解问题,发现井眼轨道设计问题的约束方程组可以化归成线性代数方程组或者4种典型方程组之一;得到了4种典型方程组的实数解的计算公式,并给出了有实数解的判别条件。对于二维圆弧型井眼轨道设计问题的基础理论研究和计算机软件开发都有重要的意义。2D arc well trajectory is considered with priority in conventional deviated and horizontal well design. However, because there are a lot of combination forms of hole sections and also a lot of resolution combinations of unknowns for the same hole section, the computation is very complicated to derive the computation formula for the solutions of each hole section combination and each solving combination. This paper studies the general solutions of arbitrary hole section combination and arbitrary solving combination, discovers that the constraint equation of hole trajectory design can be dissolved into linear algebra equation system or one of the four typical systems of equations. The computation formula of the real number solutions of the four typical equation systems is obtained and the discretion conditions of real number solution are given. This study has important significance for fundamental research and computer software development for 2D arc borehole trajectory design.

关 键 词：二维 井眼轨道 解析解 圆弧 钻井设计 

分 类 号：TE22[石油与天然气工程—油气井工程]