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J. Hefei Univ. Tech. (Nat. Sci.)

合肥工业大学学报(自然科学版)

JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY (NATURAL SCIENCE)

Competent Authorities: Ministry of Education of the People's Republic of China

Sponsor by: Hefei University of Technology

ISSN 1000-1646, CN 34-1001/N

Effect of fracture width on non-Darcy flow in single fracture

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单裂隙中隙宽对非达西渗流的影响

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Jul.2025, Vol.48 No.7: 920-925

DOI: 10.3969/j.issn.1003-5060.2025.07.009

Authors

LIANG Xueqi, QIAN Jiazhong, ZHANG Haoming, DENG Yaping

(School of Resources and Environmental Engineering, Hefei University of Technology, Hefei 230009, China)

Abstract and Keywords

Abstract: Fracture width is an important factor affecting rock fracture flow characteristics. In order to explore the influence of fracture width on non-Darcy flow in single fracture, this paper generated the self-affine single fracture based on Snyfrac software, and conducted numerical simulation on the self-affine single fracture with different fracture widths $ d(d=2, 3, 4, 5 \text{ mm}) $ using Comsol software. The relationship between the fracture width d and the critical Reynolds number Re, the viscosity coefficient A and the inertia coefficient B of the Forchheimer equation was investigated by the variation of flow rate Q under different hydraulic gradients $ \nabla P $. The simulated fracture was replicated in equal proportions to construct the flow test model, and the reliability of the numerical simulation was verified by the tests under the same conditions. The results show that with the increase of the d, the stronger the nonlinear relationship between Q and $ \nabla P $, the more obvious the non-Darcy phenomenon, and the better the fitting effect of Forchheimer equation. When d increases from 2 mm to 5 mm, Re gradually decreases, and the fluid flow pattern in the fracture is more likely to change into non-Darcy flow. Both coefficients A and B in Forchheimer equation decrease with the decrease of d, exhibiting a power function relationship with d, and the viscosity coefficient A is more sensitive to the change of d.

Keywords: fracture; fracture width; non-Darcy flow; Forchheimer equation; numerical simulation; test verification

作者信息

梁雪琪，钱家忠，张昊明，邓亚平

（合肥工业大学资源与环境工程学院，安徽合肥230009）

摘要和关键词

摘要: 隙宽是影响岩石裂隙渗流特性的重要因素,为探究隙宽对单裂隙中非达西渗流的影响,文章基于Snyfrac软件生成的自仿射单裂隙,采用Comsol软件对不同隙宽d(d为2、3、4、5 mm)的自仿射单裂隙进行数值模拟,通过不同压力梯度 $ \nabla P $下流量Q的变化关系,探讨隙宽d与临界雷诺数Re、Forchheimer方程黏滞项系数A、惯性项系数B之间的关系,并对模拟裂隙进行等比例复刻,构造渗流试验模型,通过相同条件下的试验验证数值模拟的可靠性。研究结果表明:随着d的增加,Q和 $ \nabla P $之间的非线性越强,非达西现象越明显,Forchheimer方程拟合效果越好;当d从2 mm增加至5 mm时,临界Re逐渐减小,裂隙中流体流态更容易转变为非达西流;Forchheimer方程中系数A、B均随d的减小而减小,且与d呈幂函数关系,黏滞项系数A对d变化更加敏感。

关键词: 裂隙；隙宽；非达西渗流；Forchheimer方程；数值模拟；试验验证

Funding

国家自然科学基金资助项目（41831289；42102283）；国家自然科学基金联合基金资助项目（U2267218）

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