新疆石油天然气 ›› 2025, Vol. 21 ›› Issue (2): 91-.DOI: 10.12388/j.issn.1673-2677.2025.02.010

• 油气开发 • 上一篇    

双阶梯水平井井眼轨道设计的优化算法

  

  1. 1.中国石油昆仑数智科技有限责任公司,北京 100043;
    2.中国石油新疆油田分公司,新疆克拉玛依 834000
  • 出版日期:2025-06-30 发布日期:2025-06-30
  • 通讯作者: 鲁港(1963-),1985年毕业于复旦大学数学系应用数学专业,高级工程师,主要从事定向钻井轨迹计算方面的研发工作。(E-mail)Lugang1999@sina.com
  • 作者简介:丁建新(1980-),2002年毕业于江汉石油学院计算机科学与技术专业,高级工程师,长期从事油田技术服务行业数字化转型和钻完井专业软件研发工作。(E-mail)dingjianxin@cnpc.com.cn
  • 基金资助:

    1.中国石油集团公司科技专项“钻井安全控制软件”(2024ZZ46-05);

    2.中国石油集团公司青年科技专项“旋转导向轨迹自动优化与调控软件”(2024DQ03266)

Optimization Algorithm for Trajectory Design of Double-Step Horizontal Wellbore

  1. 1.PetroChina Kunlun Digital Technology Co. Ltd.,Beijing 100043,China;
    2.PetroChina Xinjiang Oilfield Company,Karamay 834000,Xinjiang,China
  • Online:2025-06-30 Published:2025-06-30

摘要:

针对双阶梯水平井水平段间距受限时常规五段圆弧轨道设计可能无可行解的问题,提出了一种基于约束优化的井眼轨道设计方法,通过建立水平段长度最小化的约束优化模型,结合拟解析解与二分法构建了高效求解算法。针对两水平段井斜角、方位角相同时拟解析解奇点多项式恒为零的失效问题,提出了修正的解析计算公式,解决了传统方法的理论缺陷,相较于传统迭代法,该方法通过特征多项式降维策略将计算复杂度降低至二次方程求解量级,算例证明该方法在三维阶梯井、二维井及退化情形下均能快速收敛。通过二分法优化水平段调整量,实现了井眼曲率约束下的最小轨迹长度控制,该方法可有效解决断层分隔储层等狭窄空间下的轨道设计难题,为钻井软件研发提供了理论支撑,研究成果显著提升了阶梯水平井轨道设计的可靠性与工程适用性。

关键词:

阶梯水平井, 井眼轨道, 多元非线性方程组, 拟解析解, 解析解

Abstract:

Given that the conventional five-arc trajectory design of the double-step horizontal wellbore may have no feasible solution in the case of limited horizontal section spacing,this study proposed a wellbore trajectory design method based on constrained optimization. By establishing a constrained optimization model to minimize the horizontal section length,an efficient solving algorithm was constructed,which combines the quasi-analytic solution and the bisection method. Given the failure problem that the singularity polynomial of the proposed quasi-analytic solution is always zero when the inclination and azimuth angles of the two horizontal sections are the same,a modified analytical calculation formula was proposed to deal with this theoretical defect of the traditional method. Compared with the traditional iterative method,the proposed method reduces the computational complexity to the order of solving quadratic equations via the characteristic polynomial dimension reduction strategy. Examples showed that this method can converge rapidly in cases of three-dimensional stepped wells,two-dimensional wells and simplified cases. By optimizing the adjustment of the horizontal section through the bisection method,the control of the minimum trajectory length under the constraint of wellbore curvature was achieved. This method can effectively deal with the trajectory design in cases of narrow spacing,like fault-separated reservoirs,and provide theoretical support for the development of drilling software. The research findings significantly improve the reliability and engineering applicability of the trajectory design for stepped horizontal wells.

Key words:

"> stepped horizontal well, wellbore trajectory, nonlinear multivariable equations, quasi-analytic solution, analytical solution

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