基于CDP及界面分离准则的水泥环完整性研究

Simulation of Cement Sheath Integrity Based on the CDP and the Interface Separation Criterion

摘要

为探究交变压力下水泥环完整性失效过程和破坏形式，采用单（三）轴及循环载荷下水泥石应力-应变本构及力学参数实验结果建立生产套管-水泥环-技术套管三维力学模型，利用全尺寸失效实验分析验证水泥环在交变压力下的力学响应；采用CDP和界面分离准则分别模拟分析水泥环本体完整性和界面完整性。结果表明，水泥环本体损伤程度随压力峰值和循环次数的增加而增大，且拉伸损伤增长速率高于压缩损伤，拉伸损伤值达到最大值后，压缩损伤值随循环次数增加而继续增大，裂纹继续扩展；随着压力峰值的增大，损伤萌生及演变形成微环隙所需循环次数逐渐减少。压力峰值和循环次数增加均会导致水泥环完整性损伤，但压力峰值影响更大，直接破坏其完整性，循环次数是加剧损伤并演变至失效；水泥石的脆性特征及拉压强度差异是损伤程度增长速率出现差异的关键因素。

Abstract

To investigate the failure process and damage form of cement sheath integrity under alternating pressure, the experimental results of the stress-strain ontological relationship and mechanical parameters of cement stone under uni/triaxial and cyclic loading are used to establish a three-dimensional mechanical model of the "production casing-cement sheath-technical casing" under alternating pressure. The mechanical response under alternating pressure was analyzed and verified by using full-size cement sheath integrity failure experiments. The CDP and interfacial separation criterion were used to simulate and analyse the cement sheath body integrity and interfacial integrity respectively. The results show that the degree of damage to the cement body increases with both peak pressure and the number of cycles, and the growth rate of tensile damage is higher. After the tensile damage value reaches its maximum value, the compressive damage value continues to increase as the number of cycles increases, and the cracks continue to extend. As the peak of pressure increases, the number of cycles required is gradually decreases for interfacial integrity damage to sprout and its evolution to form a micro-annular gap. The increase in the peak of pressure and the cycle times can both lead to damage to the integrity of the cement sheath, but the impact of the peak of pressure is more significant, directly damaging its integrity, while the cycle times further exacerbate the integrity damage and evolve into failure. The brittle characteristics of cementite and differences in tensile and compressive strengths are key factors in the differences in the rate of growth of damage.

关键词

交变压力 / 水泥环完整性 / 扩展有限元法 / Cohesive单元法 / 双线性牵引-分离准则

Key words

alternating pressure / cement sheath integrity / XFEM / Cohesive element / bilinear traction-separation criterion

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基金资助

国家自然科学基金(52474011)

国家重点研发计划(2025YFE0212900)

四川省科技教育联合基金(2025NSFSC2052)