| 三维侧位抛物线型方位漂移轨道设计的数值算法 |
| 投稿时间：2011-12-11 修订日期：2011-12-11 点此下载全文 |
| 引用本文：鲁港,夏泊洢.三维侧位抛物线型方位漂移轨道设计的数值算法[J].钻探工程,2012,39(6):23-26.LU Gang,XIA Bo-yi. Numerical Algorithm for the Design of 3D Lateral Parabola Azimuth Drift Well-path[J]. Drilling Engineering, 2012,39(6):23-26. |
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| 基金项目:国家科技重大专项“大型油气田及煤层气开发”之课题21-6“钻井工程设计和工艺软件”(2008ZX05021-006)和中国石油长城钻探工程有限公司科技开发项目“钻井数据管理系统配套与应用”(2010A11)资助 |
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| 中文摘要:考虑方位漂移因素的设计约束方程组是一个具有3个独立未知数、多个隐含未知数的非线性方程组，需要使用数值迭代法才能求出其数值解。给出了解析形式的垂深增量公式，利用约束方程组中的垂深方程，将3个独立未知数中的一个未知数表示成其他2个未知数的函数，并用之对设计约束方程组进行降维处理。剖析了隐含未知数的计算细节，给出了隐含未知数的递推算法。提出了降维后的约束方程组的数值求解算法——缩半网格法，该算法可以快速、可靠地求出设计问题的数值解，适用于在开发计算机软件时编程实现。 |
| 中文关键词:钻井工程 大位移井 轨道设计 侧位抛物线 方位漂移 数值求解 |
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| Numerical Algorithm for the Design of 3D Lateral Parabola Azimuth Drift Well-path |
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| Abstract:The design constrained equations of azimuth drift is a nonlinear one that contains 3 independent and several hidden unknowns, the numerical iteration method should be used to get the numerical solution. The vertical depth increasing equation was provided, by using vertical depth increasing equation of the constrained equations, one of the 3 independent unknowns was expressed as functions of the other 2 unknowns, which were used for dimension reduction of the design constraint equations. The paper analyzed the calculation details of hidden unknowns and gave the recursive algorithm for hidden unknowns. The numerical value arithmetic of constrained equations after dimension reduction was also put forward, that was half- shrinkage grid method, which could be applied to quickly and reliably find the numerical solutions of design, especially for programming computer software. |
| keywords:well drilling engineering extended reach well well-path design lateral parabola azimuth drift numerical algorithm |
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