盐岩球腔储库弹性应力分布的理论解析

THEORETICAL ANALYTICAL SOLUTION OF STRESS DISTRIBUTION IN ELASTICITY STAGE OF SPHERICAL CAVITY STORAGE CAVERN IN SALT ROCK

假定地下储气库为球形腔体,利用在弹性阶段应力可叠加的基本原理,将球形储气库的受力方式简化分解为静水压力和垂直方向受力。对这2种受力方式下围岩应力分布解析结果进行叠加,获得在远场三轴压应力和储库内部压力共同作用下球腔储气库围岩弹性应力分布的完整解析解。在相同条件下,对盐岩球腔储气库进行数值分析,并将解析解与数值分析结果进行比较,结果表明,应力分布解析解与数值解吻合较好,验证所提出的分析方法是合理可行的。结合Hoek-Brown破坏准则,计算得出储气库不出现塑性破坏时的极限内压值范围。

Based on the assumption that the storage cavern is sphere, and using a basic principle that the stress could be superimposed in the elastic stage, the force modes of spherical gas storage cavern is disintegrated into hydrostatic pressure and vertical stress. Through the superposition of analytic results of surrounding rock stress distribution under the two kinds of force modes, the elastic stress distribution functions in surrounding rock of the spherical gas storage cavern in salt rock under remote field triaxial compressive stresses and internal pressure are derived. The numerical analysis of spherical gas storage cavern of salt rock is conducted under the same condition. Comparison shows that numerical simulation results are in good agreements with theoretical calculation results; and the presented analysis method is verified to be feasible. Then Hoek-Brown criterion is used to estimate the stability of spherical cavity storage cavern, and the limit of internal pressure is obtained when the plastic failure of gas storage cavern doesn＇t appear.