Stress Analysis and Evaluation of the High-Temperature High-Pressure Wellbore Hole Simulator
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摘要: 模拟井筒是用于模拟油田井下高温高压环境的实验装置，为高温高压厚壁容器. 基于热力学及大涡模拟(LES)理论，建立了模拟井筒温度场物理方程. 基于热弹性力学理论，建立了热应力物理方程. 采用投影法求解温度场控制方程，采用梯形法数值积分求解热应力控制方程，给出了控制方程的离散格式. 通过虚拟密度法对流固耦合传热进行求解，根据应力叠加原理对模拟井筒热应力和压应力及其耦合作用进行了数值求解分析. 研究结果表明：设计壁厚最小值为0.18 m的模拟井筒，强度能够满足在400 ℃加热环境、内部加压220 MPa工作参数下进行高温高压实验. 通过实验验证了所建立的数学模型与数值求解方法的正确性，为高温高压厚壁容器设计提供了理论依据.Abstract: The wellbore hole simulator as a high-temperature high-pressure thick-walled container, is an experimental device used to simulate the high-temperature high-pressure downhole environment of oilfield. Based on thermodynamics and the large eddy simulation (LES) theory, a physical equation was established. The projection method was applied to solve the temperature field governing equation, and the trapezoidal-rule numerical integration was used to solve the thermal stress governing equation. The discrete scheme for the governing equation was given. The fluid-structure-interaction heat transfer was solved with the virtual density method, and the thermal stress, the pressure stress and their coupling effect of the wellbore hole simulator were numerically analyzed under the principle of stress superimposition. The research results indicate that, the wellbore hole simulator with a minimum wall thickness of 0.18 m could meet the strength requirements for high-temperature high-pressure experiments with 400 ℃ and 220 MPa working parameters. The experiments prove the correctness of the established mathematical model and the numerical solution methods, providing a theoretical basis for the design of thick-walled cylinder containers under high-temperature high-pressure conditions.
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Key words:
- thermal stress /
- large eddy simulation /
- projection method /
- stress coupling /
- strength analysis
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图 2 非定常高温高压模拟井筒热学与力学物理模型
Figure 2. The unsteady thermal and mechanical physical model diagram for the high-temperature high-pressure wellbore hole simulator
图 7 径向非定常热应力沿半径的分布
Figure 7. Distribution of the radial unsteady thermal stress along the radius
图 8 周向非定常热应力沿半径的分布
Figure 8. Distribution of the tangential unsteady thermal stress along the radius
图 9 轴向非定常热应力沿半径的分布
Figure 9. Distribution of the axial unsteady thermal stress along the radius
图 11 非定常等效热应力沿径向的时间分布
Figure 11. Time histories of the unsteady equivalent thermal stress along the radial direction
图 12 非定常等效应力耦合沿径向的时间分布
Figure 12. Time histories of the unsteady equivalent stress coupling along the radial direction
图 13 模拟井筒壁厚与等效应力关系
Figure 13. The relationship between the wall thickness and the equivalent stress in the wellbore hole simulator
图 15 加压液控系统及加压泵
Figure 15. The pressurized hydraulic control system and the pressure pump
图 18 计算升温曲线相对实验升温曲线的相对误差
Figure 18. The relative errors of the calculated heating curve compared to the experimental heating curve
表 1 PcrNi3MoVA Ⅳ的力学参数
Table 1. Mechanical parameters of PcrNi3MoVA Ⅳ
temperature T/℃ elastic modulus E/GPa yield strength σs/GPa Poisson’s ratio ν linear expansion coefficient β/℃-1 20 206 1.40 0.3 1.06×10-5 200 192 1.33 400 175 1.15 600 153 0.92 800 125 0.68 
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