﻿ 内嵌卡瓦尾管悬挂器坐挂系统力学模型研究

1. 中国石化石油工程技术研究院, 北京 100101;
2. 中海油能源发展股份有限公司工程技术分公司, 天津 300452

Mechanical Model for Setting the Liner Hanger with Embedded Slips
Han Feng1, Gu Lei1, Cui Xiaojie1, Li Fuping1, Ruan Chenliang1, Feng Bin2
1. Sinopec Research Institute of Petroleum Engineering, Beijing, 100101, China;
2. CNOOC EnerTech-Drilling & Production Co., Tianjin, 300452, China
Abstract:Liner hangers with embedded slips are structurally complex, and the slip clamping force is the key factor for successful setting the liner hangers. Based on the structures and manufacturing process of embedded slip setting systems, a mechanic model of setting system for embedded slip liner hangers was built by using matrix theories, the theoretical calculation methods were worked out for clamping force of slips, the relationship among the slip clamping force, liner weights, cutter rotation angle and friction coefficient on contact surface were analyzed. Setting tests were performed for the embedded slip liner hanger and casing, outside strain of casing was collected and analyzed with different axial loads by means of strain testing systems, the contact stress between the casing inner wall and the slip was calculated by using Lame's Equation. Research results showed that the calculated value of contact strain between the slip and casing coincided with measured mean value. Maximum and minimum stresses are 150% and 75% of the average value respectively. The analysis and test results of setting the mechanical models can provide an important basis for structural design and the optimization of liner hangers.
Key words: liner hanger    slip    casing    stress    strain

1 坐挂系统力学模型的建立 1.1 悬挂器结构及工作原理

 图 1 内嵌卡瓦尾管悬挂器坐挂系统 Fig. 1 Setting system of liner hangers with embedded slips

1.2 坐挂系统力学分析及模型建立

 图 2 坐挂系统力学分析 Fig. 2 Mechanical analysis for setting systems

1.2.1 加工前状态(半成品状态)

1.2.2 加工后状态(成品状态)

1.2.3 基于加工工艺的坐标变换

1.2.4 静力学分析

1.3 坐挂系统力学模型影响参数分析

1.3.1 卡瓦咬合力与尾管重力的关系

1.3.2 卡瓦咬合力与刀具绕x轴转角α的关系

 图 3 卡瓦咬合力与绕x轴转角的关系 Fig. 3 Relationship between slip clamping force and rotation angle around x-axis

1.3.3 卡瓦咬合力与刀具绕z轴转角γ的关系

 图 4 卡瓦咬合力与绕z轴转角的关系 Fig. 4 Relationship between slip clamping force and rotation angle around z-axis

1.3.4 卡瓦咬合力与接触面摩擦系数μ的关系

 图 5 卡瓦咬合力与摩擦系数的关系 Fig. 5 Relationship between slip clamping force and friction coefficient

2 内嵌卡瓦悬挂器坐挂试验

 图 6 试验系统示意 Fig. 6 Sketch of the test system
 图 7 卡瓦与套管接触区域的应变测点布置示意 Fig. 7 Arrangement of strain testing points in contact zone between slip and casing
2.1 试验结果分析

 图 8 卡瓦接触区域套管外壁环向应变与拉伸载荷 Fig. 8 Circumferential strain and tensile load on casing outer wall in slip contact zone

 图 9 卡瓦与套管内壁的接触应力 Fig. 9 Contact stress between slip and casing inner wall
2.2 理论计算与试验结果对比分析

 图 10 卡瓦与套管内壁接触应力理论值与试验值对比 Fig. 10 Comparison of theoretical and experimental values of contact stress between slip and casing inner wall

3 结 论

1) 基于矩阵理论建立了内嵌卡瓦尾管悬挂器坐挂力学模型，得到了卡瓦咬合力的理论计算方法。研究表明：卡瓦咬合力与尾管重力呈正比关系；卡瓦咬合力随着刀具转角α、γ和摩擦系数μ的增大呈现先增大后减小的变化规律。坐挂系统力学模型对结构设计及加工具有较好的指导作用。

2) 采用试验方法对内嵌卡瓦尾管悬挂器的上层套管应变进行了采集和分析，试验结果表明，理论计算值与各测点的平均值比较吻合，证明了卡瓦咬合力计算方法的可行性。

3) 本文仅对坐挂时套管环向应变和卡瓦接触应力进行了研究，未考虑套管的轴向应力，还需要进一步研究套管的失效模式，以形成科学合理的尾管悬挂器承载能力计算方法。

 [1] 毕红杰.旋转尾管悬挂器卡瓦-锥体的性能分析与结构改进[D].青岛:中国石油大学(华东)机电工程学院,2011. Bi Hongjie.Performance analysis and structure improvement of rotating liner hanger's slips and cone[D].Qingdao:China University of Petroleum(Huadong),College of Mechanical and Electronic Engineering,2011. [2] 杨赟达,刘绘新,胥志雄,等.套管悬挂器抗内压结构安全性分析[J].石油矿场机械,2014,43(2):75-78. Yang Yunda,Liu Huixin,Xu Zhixiong,et al.Casing hanger internal pressure structural safety analysis[J].Oil Field Equipment,2014,43(2):75-78. [3] 尹飞,高宝奎,黄丹,等.深井尾管悬挂器强度分析及悬挂载荷计算[J].石油矿场机械,2011, 40(9):33-36. Yin Fei,Gao Baokui,Huang Dan,et al.Analysis of strength and suspended load of liner hanger in deep well[J].Oil Field Equipment,2011,40(9):33-36. [4] 董照远.尾管悬挂器力学分析[D].秦皇岛:燕山大学车辆与能源学院,2010. Dong Zhaoyuan.Mechanical analysis of liner hanger[D].Qinhuangdao:Yanshan University,College of Vehicles and Energy,2010. [5] 阮臣良,冯丽莹,张金法,等.内嵌卡瓦尾管悬挂器的研制与应用[J].石油机械,2012,40(8):15-18,23. Ruan Chenliang,Feng Liying,Zhang Jinfa,et al.Development and application of liner hanger embedded with slips[J].China Petroleum Machinery,2012,40(8):15-18,23. [6] 于成水,张恒,刘艳红,等.悬挂器坐挂失效的简要分析[J].钻采工艺,2002,25(1):90-91. Yu Chengshui,Zhang Heng,Liu Yanhong,et al.Analysis of the hanger set failure[J].Drilling & Production Technology,2002,25(1):90-91.

#### 文章信息

Han Feng, Gu Lei, Cui Xiaojie, Li Fuping, Ruan Chenliang, Feng Bin

Mechanical Model for Setting the Liner Hanger with Embedded Slips

Petroleum Drilling Techniques, 2015, 43(06): 103-107.
http://dx.doi.org/10.11911/syztjs.201506019