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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。
Based on the improved rigid-body spring method, combined with the equivalent discrete fracture network model, a two-dimensional rock hydraulic fracturing simulation method is proposed. The interaction between hydraulic pressure and mechanical response is described by Biot’s theory. At the same time, the analytical formula of hydraulic coupling of thick-walled cylinder under elastic condition is deduced. The numerical model is verified by comparison with numerical solution. The numerical model is applied to the hydrofracturing process of the thick-walled cylinder under the condition of plane stress, and the influence of Biot coefficient on the hydraulic fracturing process is discussed. The results show that the Biot coefficient plays an important role in reflecting the hydraulic coupling effect and has a significant effect on the displacement and failure strength during hydraulic fracturing.