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Hydraulic and Mechanical Relationship of Individual Fracture in Rock under Compression and Shearing: Theoretical Study
Geofluids ( IF 1.7 ) Pub Date : 2020-11-18 , DOI: 10.1155/2020/8848116 Zhiqiang Zhou 1, 2 , Yu Zhao 1, 2 , Chaolin Wang 1, 2
Geofluids ( IF 1.7 ) Pub Date : 2020-11-18 , DOI: 10.1155/2020/8848116 Zhiqiang Zhou 1, 2 , Yu Zhao 1, 2 , Chaolin Wang 1, 2
Affiliation
In this paper, a new approach has been developed for predicting the hydraulic and mechanical relationship of individual fractures subjected to normal stress and compression-shear stress. Considering that the closure process of rough fracture subjected to normal stress can be divided into two phases (linear behavior and nonlinear behavior), a relationship between normal stress and fracture aperture is derived through the minimum potential energy principle. Then, a formulation for calculating fracture permeability during shearing and compression processes is developed. Furthermore, a formulation for determining fracture aperture during the crack growth process is obtained, which is further implanted into the permeability model to predict the hydraulic behavior of fractured rock during fracture propagation. This new model not only considers the normal deformation of the fracture but also, and more importantly, integrates the effect of fracture propagation and shear dilation. Theoretical studies demonstrate that fracture permeability increases nonlinearly during fracture propagation. At last, experimental results and analytic results are compared to demonstrate the usefulness of the proposed models, and satisfactory agreements are obtained.
中文翻译:
压缩和剪切作用下岩石中单个裂缝的水力和力学关系:理论研究
在本文中,开发了一种新方法来预测承受正应力和压剪应力的单个裂缝的水力和力学关系。考虑到正应力作用下粗糙裂缝的闭合过程可分为两个阶段(线性行为和非线性行为),通过最小势能原理推导出法向应力与裂缝孔径的关系。然后,开发了计算剪切和压缩过程中裂缝渗透率的公式。此外,获得了确定裂缝扩展过程中裂缝孔径的公式,进一步将其植入渗透率模型中,以预测裂缝扩展过程中裂隙岩石的水力行为。这种新模型不仅考虑了裂缝的法向变形,而且更重要的是,综合了裂缝扩展和剪切膨胀的影响。理论研究表明,裂缝渗透率在裂缝扩展过程中呈非线性增加。最后,将实验结果和分析结果进行了比较,证明了所提出模型的有效性,并获得了令人满意的一致性。
更新日期:2020-11-18
中文翻译:
压缩和剪切作用下岩石中单个裂缝的水力和力学关系:理论研究
在本文中,开发了一种新方法来预测承受正应力和压剪应力的单个裂缝的水力和力学关系。考虑到正应力作用下粗糙裂缝的闭合过程可分为两个阶段(线性行为和非线性行为),通过最小势能原理推导出法向应力与裂缝孔径的关系。然后,开发了计算剪切和压缩过程中裂缝渗透率的公式。此外,获得了确定裂缝扩展过程中裂缝孔径的公式,进一步将其植入渗透率模型中,以预测裂缝扩展过程中裂隙岩石的水力行为。这种新模型不仅考虑了裂缝的法向变形,而且更重要的是,综合了裂缝扩展和剪切膨胀的影响。理论研究表明,裂缝渗透率在裂缝扩展过程中呈非线性增加。最后,将实验结果和分析结果进行了比较,证明了所提出模型的有效性,并获得了令人满意的一致性。