中文摘要：

以改进刚体弹簧方法为基础,结合等效离散裂隙网络模型,提出二维岩石水压致裂模拟方法。水压和力学响应的相互作用通过Biot理论描述。同时,推导了弹性条件下厚壁圆筒水力耦合解析公式,通过与数值解的对比,验证了数值模型的准确性。将该数值模型用于平面应力条件下厚壁圆筒的水压致裂过程分析,重点探讨了Biot系数对水压致裂过程的影响。研究表明,Biot系数作为反映水力耦合效应的重要参数,对水压致裂过程中的位移和破坏强度有显著影响。

英文摘要：

A two-dimensional numerical method based on the method of improved rigid body spring and equivalent discrete fracture network model was proposed for modeling of hydraulic fracturing. The interaction between the water pressure and mechanical response was described by Biot？s theory,and the analytic formula of hydro-mechanical coupling for thick-walled cylinder under elastic condition was deduced. The accuracy of the numerical model was verified by comparison with the analytical solution. The numerical model was used to analyze the hydraulic fracturing process of thick-walled cylinders under plane stress conditions. The influence of Biot？s coefficient on hydraulic fracturing process was highlighted. Results show that the Biot？s coefficient,as an important parameter to reflect the hydraulic coupling effect,has the significant effect on the displacement and failure pressure in the hydraulic fracturing process.