二维粗糙断裂水力孔径的经验预测:系统数值研究

IF 1.8 4区 地球科学 Q3 GEOSCIENCES, MULTIDISCIPLINARY Frontiers of Earth Science Pub Date : 2024-07-04 DOI:10.1007/s11707-023-1089-3
Xiaolin Wang, Shuchen Li, Richeng Liu, Xinjie Zhu, Minghui Hu
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引用次数: 0

摘要

本研究旨在通过数值模拟,考虑断裂长度、平均力学孔径、最小力学孔径、连接粗糙度系数(JRC)和水力梯度的影响,提出二维粗糙断裂水力孔径的经验预测模型。我们使用连续随机加法(SRA)算法生成了 600 个数值模型,并为每个模型考虑了从 2.5 × 10-7 到 1 的七个水力梯度,以全面覆盖线性和非线性流态。因此,共模拟了 4200 个流体流动案例,为预测水力孔径提供了充足的数据。结果表明,当平均机械孔径与裂缝长度的比值从 0.01 增加到 0.2 时,水力孔径随对数函数的变化而增加。当水力梯度从 2.5 × 10-7 增加到 1 时,水力孔径随对数函数的变化而减小。当入口和出口边界之间的水力梯度相对较低时(即 5 × 10-7),裂缝内的流线呈平行分布。然而,当在入口和出口边界之间施加相对较大的水力梯度(即 0.5)时,流线会受到干扰,并形成一些漩涡。利用所提出的经验函数预测出的水力孔径与计算结果非常吻合,比以往文献中的结果更加可靠。在实际应用中,只要给出相关参数,就可以利用提出的预测模型对水力孔径进行一阶估算。
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Empirical prediction of hydraulic aperture of 2D rough fractures: a systematic numerical study

This study aims to propose an empirical prediction model of hydraulic aperture of 2D rough fractures through numerical simulations by considering the influences of fracture length, average mechanical aperture, minimum mechanical aperture, joint roughness coefficient (JRC) and hydraulic gradient. We generate 600 numerical models using successive random additions (SRA) algorithm and for each model, seven hydraulic gradients spanning from 2.5 × 10−7 to 1 are considered to fully cover both linear and nonlinear flow regimes. As a result, a total of 4200 fluid flow cases are simulated, which can provide sufficient data for the prediction of hydraulic aperture. The results show that as the ratio of average mechanical aperture to fracture length increases from 0.01 to 0.2, the hydraulic aperture increases following logarithm functions. As the hydraulic gradient increases from 2.5 × 10−7 to 1, the hydraulic aperture decreases following logarithm functions. When a relatively low hydraulic gradient (i.e., 5 × 10−7) is applied between the inlet and the outlet boundaries, the streamlines are of parallel distribution within the fractures. However, when a relatively large hydraulic gradient (i.e., 0.5) is applied between the inlet and the outlet boundaries, the streamlines are disturbed and a number of eddies are formed. The hydraulic aperture predicted using the proposed empirical functions agree well with the calculated results and is more reliable than those available in the preceding literature. In practice, the hydraulic aperture can be calculated as a first-order estimation using the proposed prediction model when the associated parameters are given.

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来源期刊
Frontiers of Earth Science
Frontiers of Earth Science GEOSCIENCES, MULTIDISCIPLINARY-
CiteScore
3.50
自引率
5.00%
发文量
627
期刊介绍: Frontiers of Earth Science publishes original, peer-reviewed, theoretical and experimental frontier research papers as well as significant review articles of more general interest to earth scientists. The journal features articles dealing with observations, patterns, processes, and modeling of both innerspheres (including deep crust, mantle, and core) and outerspheres (including atmosphere, hydrosphere, and biosphere) of the earth. Its aim is to promote communication and share knowledge among the international earth science communities
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