基于启发式算法的套管柱组合优化设计方法

王鹏; 田懿; 冯定; 涂忆柳

doi:10.11911/syztjs.2020011

基于启发式算法的套管柱组合优化设计方法

王鹏^{1, 2,},
田懿^{1, 2},
冯定^{1, 2,*, ,},
涂忆柳^{1, 2,*, ,}

1.
长江大学机械工程学院，湖北荆州 434023
2.
湖北省油气钻完井工具工程技术研究中心，湖北荆州 434023

基金项目: 湖北省技术创新专项“智能油气钻采井眼轨迹控制工具研究”（编号：2019AAA010）和长江大学青年基金项目“影响泥浆脉冲发生器信号质量的关键因素研究”（编号：2016cqn30）联合资助

详细信息

作者简介:
王鹏（1983—），男，河南新乡人，2005年毕业于长江大学机械制造及其自动化专业，2008年获长江大学机械设计及理论专业硕士学位，在读博士研究生，主要从事石油机械及井下工具设计、诊断及动态仿真理论与技术应用研究。E-mail：94211936@qq.com

通讯作者:
冯定，fengd0861@163.com

涂忆柳，yiliutu@hotmail.com

中图分类号: TE22
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出版历程
- 收稿日期: 2019-03-16
- 修回日期: 2020-02-09
- 网络出版日期: 2020-03-05
- 刊出日期: 2020-02-29

Optimization Design Method for Casing String Combination Based on Heuristic Algorithm

WANG Peng^{1, 2,},
TIAN Yi^{1, 2},
FENG Ding^{1, 2,*, ,},
TU Yiliu^{1, 2,*, ,}

1.
College of Mechanical Engineering, Yangtze University, Jingzhou, Hubei, 434023, China
2.
Hubei Engineering Research Center for Oil & Gas Drilling and Completion Tools, Jingzhou, Hubei, 434023, China

摘要

摘要:
针对深井、超深油气井中套管柱组合设计存在非线性、多目标和离散变量组合的问题，提出了一种基于启发式算法的套管柱组合优化设计方法。采用树状结构表示套管柱组合并将其参数化，给出了体现套管柱成本、质量和安全因素的设计需求向量，建立了以该向量为基础的可调多目标数学模型，并给出了利用启发式算法求解该模型的方法。通过与经典的套管柱设计案例进行比较分析，在最经济方案的情形下，利用所建立数学模型得出的解在适应值方面比原方法更好，如解3在成本和质量方面均有所降低，解2的成本降低4.057%，但质量增加0.274%。研究结果表明，基于启发式算法的套管柱组合优化设计方法得出的解具有合理性，且在一定程度上比原有解更优，可解决深井、超深井套管柱组合设计存在的问题。
- 套管柱 /
- 组合设计 /
- 启发式算法 /
- 优化设计 /
- 多目标优化
Abstract:
Casing string combination design in deep wells and ultra-deep oil and gas wells, has inherent problems, which are nonlinear, multi-objective and combinatorial with discrete variables. This paper presents a method for design optimization of casing string based on a heuristic algorithm. The casing string combination was represented by a tree structure and parameterized, the design requirement vector reflecting the cost, weight and safety factors of casing string was given, and the adjustable multi-objective mathematical model based on this vector was established. A heuristic algorithm was proposed to solve the model. The analysis involved the comparison and analysis with the typical cases of casing string design. Considering that, the mathematical model established in this paper was used to obtain a solution that had better value than the original method in terms of fitness in the case of the most economic program. For example, solution 3 led to a reduction of cost and weight, and solution 2 led to a reduction in cost by 4.057%, but in increase in weight by 0.274%. The results show that the solution obtained by this method is reasonable and better than the original solution to some extent. This approach can effectively solve the complex casing string combination design problem in deep and ultra-deep wells.
- casing string /
- combination design /
- heuristic algorithm /
- optimizing design /
- multi-objective optimization

HTML全文

图 1 套管柱组合结构模型

Figure 1. Structure model of casing string combination

下载: 全尺寸图片幻灯片

图 2 套管柱组合树状结构

Figure 2. Tree structure of casing string combination

下载: 全尺寸图片幻灯片

图 3 套管柱组合优化设计流程

Figure 3. Optimizing design flow of casing string combination

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图 4 遗传算法的求解过程

Figure 4. Solution process of genetic algorithm

下载: 全尺寸图片幻灯片

表 1 最经济方案结果对比

Table 1 Results comparison for the most economic program

解	x₁	x₂	x₃	n₁	n₂	n₃	质量/kg	成本/美元	评价值
解1	15	21	15	107	63	80	150 119.8	283 992.4	–7.509 3
解2	15	21	10	125	71	54	150 531.1	272 470.0	–7.645 8
解3	15	21	15	108	60	82	149 965.6	283 722.7	–7.521 2

下载: 导出CSV

表 2 套管设计最经济方案对比

Table 2 Comparison for the most economic program of casing design

解	井段/m	序号	价格/ （美元·m^–1）	线密度/ （kg·m^–1）	抗内压强度/ MPa	抗挤强度/ MPa	抗拉强度/ kN	内径/ mm	外径/ mm	钢级	扣型
解1	0～1 305.4	15	91.315	59.527	47.022	29.165	3 818.10	224.409	244.5	S95	2
	1305.4～2074.0	21	98.684	64.735	51.780	38.611	4 267.55	222.377	244.5	S95	2
	2074.0～3050.0	15	91.315	59.527	47.022	29.165	3 818.10	224.409	244.5	S95	2
解2	0～1525.0	15	91.315	59.527	47.022	29.165	3 818.10	224.409	244.5	S95	2
	1 525.0～2 391.2	21	98.684	64.735	51.780	38.611	4 267.55	222.377	244.5	S95	2
	2 391.2～3 050.0	10	72.677	59.527	27.234	29.165	2 687.80	224.409	244.5	S80	1
解3	0～1 317.6	15	91.315	59.527	47.022	29.165	3 818.10	224.409	244.5	S95	2
	1 317.6～2 049.6	21	98.684	64.735	51.780	38.611	4 267.55	222.377	244.5	S95	2
	2 049.6～3 050.0	15	91.315	59.527	47.022	29.165	3 818.10	224.409	244.5	S95	2

下载: 导出CSV

表 3 最经济方案中每组的最小安全系数

Table 3 Comparison of minimum design safety factors per segment in the most economic program

解	组	最小安全系数
解	组	抗拉	抗内压	抗外挤
解1	G1	2.60	1.18	1.47
	G2	5.00	1.46	1.46
	G3	8.30	1.60	1.13
解2	G1	2.59	1.18	1.27
	G2	5.66	1.53	1.46
	G3	8.65	1.01	1.20
解3	G1	2.60	1.18	1.45
	G2	5.04	1.46	1.46
	G3	8.10	1.59	1.13

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