Size effect on the hydraulic behavior of fluid flow through a single rough-walled fracture

Size effect on the hydraulic behavior of fluid flow through a single rough-walled fracture
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单个粗糙壁裂缝流体流动水力行为的尺寸效应

DOI:
10.1016/j.soildyn.2021.106615
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发表时间:
2021-04
影响因子:
4
通讯作者:
Rong Lou
Rong Lou
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhen Zhong;Lei Wang;Leibo Song;Chao Gao;Yunjin Hu;Huicai Gao;Fei Song;Alfonso Rodriguez-Dono;Rong Lou

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这项研究提供了一种数值方法来评估样品大小对通过单个粗糙壁裂缝的流体流动的影响。用数理统计的方法产生了粗壁断裂。它的孔径沿尺寸为20米×20米的大尺寸平面呈正态分布,并从这个大尺寸断裂面中提取出一系列不同大小的裂缝。然后,通过求解二维雷诺方程来模拟具有不同平均裂缝开度和粗糙度的粗壁裂缝中的流体流动。采用双曲线函数分析了法向应力对水力特性的影响。模拟结果表明,水力传导性与裂缝大小呈正相关。事实上,流经单个粗壁裂缝的流体的水力传导性随着裂缝尺寸的增加而增加,直到给定的裂缝尺寸保持不变。这一给定大小的水力传导性可以被认为是较大样本量下的代表性。由于平均断口开度、粗糙度和正应力的不同,给定的尺寸范围从12米到16米不等。此外,还发现这一代表性尺寸随着平均裂缝开度的增加而减小,而随着裂缝粗糙度或法向应力的增大而增大,因为这些变量影响裂缝的拓扑结构和接触面积,这对控制流体在粗糙裂缝中流动的曲折性和连通性起着重要作用。
This study provides a numerical approach to evaluate the effect of sample sizes on fluid flow through a single rough-walled fracture. The rough-walled fracture was generated by using mathematical statistics. Its aperture follows a normal distribution along a large-size plane of dimensions 20 m × 20 m, and from this large-size fracture plane, a series of fractures with different sizes were extracted. Then, a two-dimensional (2D) Reynolds equation was solved to simulate fluid flow through these rough-walled fractures with different mean fracture apertures and roughness. The impact of normal stress on the hydraulic properties was introduced by using a hyperbolic function. The simulated results show a positive correlation between hydraulic conductivity and fracture sizes. In fact, hydraulic conductivity of the fluid flow through a single rough-walled fracture increases with the increment of the fracture size until a given size from which it stays constant. The hydraulic conductivity for this given size can then be considered as a representative of that in larger sample sizes. This given size resulted to range from 12 m to 16 m, due to the variations in mean fracture apertures, roughness and normal stress. In addition, it was also found that this representative size tends to decrease with an increase in the mean fracture apertures, while tends to increase as the fracture roughness or the normal stress increases, since those variables affect the fracture topology and contact areas, which play an important role in controlling the tortuosity and connectivity of fluid flow through a rough fracture.
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