李勇, 纪宏飞, 邢鹏举, 苏义脑, 刘硕琼, 魏风奇. 气井井筒温度场及温度应力场的理论解[J]. 石油学报, 2021, 42(1): 84-94. DOI: 10.7623/syxb202101008
引用本文: 李勇, 纪宏飞, 邢鹏举, 苏义脑, 刘硕琼, 魏风奇. 气井井筒温度场及温度应力场的理论解[J]. 石油学报, 2021, 42(1): 84-94. DOI: 10.7623/syxb202101008
Li Yong, Ji Hongfei, Xing Pengju, Su Yinao, Liu Shuoqiong, Wei Fengqi. Theoretical solutions of temperature field and thermal stress field in wellbore of a gas well[J]. Acta Petrolei Sinica, 2021, 42(1): 84-94. DOI: 10.7623/syxb202101008
Citation: Li Yong, Ji Hongfei, Xing Pengju, Su Yinao, Liu Shuoqiong, Wei Fengqi. Theoretical solutions of temperature field and thermal stress field in wellbore of a gas well[J]. Acta Petrolei Sinica, 2021, 42(1): 84-94. DOI: 10.7623/syxb202101008

气井井筒温度场及温度应力场的理论解

Theoretical solutions of temperature field and thermal stress field in wellbore of a gas well

  • 摘要: 基于传热学及弹塑性力学相关理论,结合固井水泥环实际密封工况,建立了2套数学模型:任意井型气井井筒温度场模型、套管-水泥环-地层围岩组合体温度场及温度应力场模型,形成了解析求解算法及工程分析软件,研究了温度应力场的影响因素。研究结果表明:产量对井筒温度场影响较大;高压高产气井的浅层固井水泥环温升明显,应提前分析预测其温度场及温度应力场的变化以决定是否加砂提升抗温性能;韧性好、弹性模量低、高强度(尤其是抗拉强度)、纵向胶结强度高的固井水泥环,更能在温升幅度较大时保持良好密封性能;两层或多层水泥环封固,相较于单层水泥环封固的情形,安全系数更高。该理论解可以提前分析预测温度对固井水泥环有效密封的影响,针对性优化设计固井水泥浆体系。

     

    Abstract: Based on the relevant theories of heat transfer and elastoplastic mechanics, in combination with the actual sealing conditions of cement sheath, this study establishes two sets of mathematical models:a temperature field model of wellbore for any type of gas well, a model of the temperature field and thermal stress field of the casing-cement sheath-surrounding rock assemblage, sets up analytical solution algorithms and engineering analysis software, and studies the influence factors of temperature stress field. The study shows that the yield has a great influence on the temperature field of wellbore. The temperature of the shallow cement sheath of high-pressure and high-yield gas wells rises obviously, and the changes in the temperature field and temperature stress field should be analyzed and predicted in advance to determine whether to add sand to improve heat-resisting property. Cement sheath with good toughness, low elastic modulus, high strength (especially tensile strength), and high longitudinal bonding strength can maintain good sealing property under the condition of high temperature rise. Two or more layers of cement sheath has a higher safety factor than that of single-layer cement sheath. The research results help to analyze and predict the effect of temperature on the effective sealing of cement sheath, and optimize the design of cement slurry system.

     

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