The natural microdefects of shale and the expansion of microcracks under hydration and overlying rock loadings are important for the wellbore stability. According to the conservation of energy, the force of the microdefects and microcracks under finite deformation is studied by the method of configuration force through the migrating control volume in the spatial observer. Under the hydration stress and rock pressure, the equation of hydration stress and its work in reference configuration has been obtained, and the equations of configuration forces and configuration moment have been established as a consequence of invariance under changes. The relationship between the configuration and deformation forces is determined by the second law. The energy dissipation equation of the crack tip has been deduced, which shows that the projection of the concentrated internal configuration body force at the crack tip in the opposite direction of the crack is equal to the energy dissipation of the crack tip per unit length. The inertial and internal parts of the concentrated configuration body force at the crack tip have been derived; it is indicated that the internal configuration force plays a leading role in the irreversible fracture process. Moreover, the energy release rate of shale under hydration is proved to depend on constitutive responses and hydration stress. In the theoretical system of configuration force, the migrating control volume at the crack tip contains inclusions, microcracks, microvoids, and heterogeneity of the rock itself. We use the configuration force theory to solve the problem of rock crack propagation and rock fracture. The factors considered are more comprehensive, which can better reflect the actual situation and provide a theoretical basis for the study of wellbore stability.

中文翻译：

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构型力在水化页岩动态裂缝中的应用

页岩的自然微缺陷以及水化作用和上覆岩石载荷作用下微裂缝的扩展对井筒稳定性至关重要。根据能量守恒，通过空间观测器中的迁移控制体配置力的方法研究了有限变形下微缺陷和微裂纹的作用力。在水化应力和岩石压力作用下，得到了参考构型中的水化应力方程及其功，并建立了变化不变性的构型力和构型力矩方程。构型和变形力之间的关系由第二定律决定。推导出裂纹尖端的能量耗散方程，可见，裂纹尖端集中内部构形体力在裂纹相反方向的投影等于裂纹尖端单位长度的能量耗散。推导出裂纹尖端集中构形体力的惯性和内部部分；表明内部构型力在不可逆断裂过程中起主导作用。此外，水化作用下页岩的能量释放速率被证明取决于本构响应和水化应力。在构型力的理论体系中，裂纹尖端的迁移控制体积包含岩石本身的包裹体、微裂纹、微孔洞和非均质性。我们使用构形力理论来解决岩石裂纹扩展和岩石断裂问题。