THERMAL SCIENCE

International Scientific Journal

Jun-Jun Liu

,

Jing Xie

,

Yi-Ting Liu

,

Gui-Kang Liu

,

Rui-Feng Tang

,

Si-Qi Ye

FLOW CHARACTERISTICS OF FRACTAL FRACTURE WITH DIFFERENT FRACTAL DIMENSION AND DIFFERENT FRACTURE WIDTH

ABSTRACT
Single fracture is the most basic element in complex fracture network of rock mass. Therefore, the study of flow characteristics of single fracture is an important way to reasonably predict the complex flow state in engineering rock mass. In order to study the flow characteristics of fractal single fracture, fracture models with dif­ferent fractal dimension and different fracture width are established in this paper. The results show that: the blocking effect of rough structure on fluid is obviously enhanced under high pressure. In addition, it is weakened and reaches a steady-state with the increase of fracture fractal dimension. The larger the fracture width is, the more obvious the phenomenon is. The hydraulic gradient index tends to 0.5 with the increase of fracture width when fractal dimension is greater than 1.3. It also could tend to 0.5 with the increase of fractal dimension when fracture width is greater than 1 mm.
KEYWORDS
single fracture, fractal dimension, fracture width, hydraulic gradient index
PAPER SUBMITTED: 2021-05-11
PAPER REVISED: 2021-06-16
PAPER ACCEPTED: 2021-07-27
PUBLISHED ONLINE: 2021-12-24
DOI REFERENCE: https://doi.org/10.2298/TSCI2106477L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 6, PAGES [4477 - 4484]
REFERENCES
  1. Xie, J., et al., Gas-flow Characteristics of Coal Samples with Different Levels of Fracture Network Complexity under Triaxial Loading and Unloading Conditions, Journal of Petroleum science and Engineering, 195 (2020), 107606
  2. Gao, M., et al., Principle and Technology of Coring with in-Situ Pressure and Gas Maintaining in Deep Coal Mine (in Chinese), Journal of China Coal Society, 46 (2021), 3, pp. 885-897
  3. Wang, D., et al., Effect of Cyclic Temperature Impact on Coal Seam Permeability, Thermal Science, 21 (2017), S1, pp. S351-S357
  4. Xie, J., et al., Experimental Investigation on the Anisotropic Fractal Characteristics of the Rock Fracture Surface and Its Application on the Fluid-Flow Description, Journal of Petroleum Science and Engineering, 191 (2020), 107190
  5. Zhang, Z., et al., Permeability Evolution of Unloaded Coal Samples at Different Loading Rates, Thermal Science, 18 (2014), 5, pp. 1497-1504
  6. Witherspoon, P. A., et al., Validity of Cubic Law for Fluid-Flow in a Deformable Rock Fracture, Water Resources Research, 16 (1980), 6, pp. 1016-1024
  7. Gao, M., et al., Mechanical Behavior of Coal under Different Mining Rates: A Case Study from Laboratory Experiments to Field Testing, International Journal of Mining Science and Technology, (2021), On-line first, doi.org/10.1016/j.ijmst.2021.06.007
  8. Gao, M., et al., Calculating Changes in Fractal Dimension of Surface Cracks to Quantify how the Dynamic Loading Rate Affects Rock Failure in Deep Mining, Journal of Central South University, 27 (2020), 10, pp. 3013-3024
  9. Konzuk, J. S., Kueper, B. H., Evaluation of Cubic Law Based Models Describing Single-Phase Flow through a Rough-Walled Fracture, Water Resources Research, 40 (2004), 2, W02402
  10. Klimczak, C., et al., Cubic Law with Aperture-Length Correlation: Implications for Network Scale Fluid-Flow, Hydrogeology Journal, 18 (2010), 4, pp. 851-862
  11. Wang, Z., et al., A Modified Cubic Law for Single-Phase Saturated Laminar Flow in Rough Rock Fractures, International Journal of Rock Mechanics and Mining Sciences, 103 (2018), Mar., pp. 107-115
  12. Guo, B., et al., A Modified Cubic Law for Rough-Walled Marble Fracture by Embedding Peak Density, Advances in Civil Engineering, 2020 (2020), ID9198356
  13. Roslin, A., et al., Permeability Upscaling Using Cubic Law Based on the Analysis of Multi-Resolution Micro-CT Images of Intermediate Rank Coal, Energy and Fuels, 33 (2019), 9, pp. 8215-8221
  14. Gao, M., et al., The Location Optimum and Permeability-Enhancing Effect of a Low-Level Shield Rock Roadway, Rock Mechanics Rock Engineering, 51 (2018), 9, pp. 2935-2948
  15. Lu, W., et al., Model Experiment and Numerical Simulation of Flow and Heat Transfer for Sand-Filled Fractured Rock Model (in Chinese), Rock and Soil Mechanics, 32 (2011), 11, pp. 3448-3454
  16. Li, X., Boundary Element Method for 3-D Fracture Network Seepage Flow and Its Programming (in Chinese), Journal of China Institute of Water Resources and Hydro power Research, 4 (2006), 2, pp. 81-87
  17. Li, X., et al., A Study on the Meshless Method on Seepage of Intersected Fractures (in Chinese), Rock and Soil Mechanics, 28 (2007), Z, pp. 371-374
  18. Wang, E., Network Analysis and Seepage Flow Model of Fractured Rockmass (in Chinese), Chinese Journal of Rock Mechanics and Engineering, 12 (1993), 3, pp. 214-221
  19. Chai, J., Coupling Analysis of Unsteady Seepage and Stress Fields in Discrete Fractures Network of Rock Mass in Dam Foundation (in Chinese), Science China Technological Sciences, 54 (2011), S1, pp. S133-S139
  20. Zheng, H., et al., A New Formulation of Signorini's Type for Seepage Problems with Free Surfaces, International Journal for Numerical Methods in Engineering, 64 (2005), 1, pp. 1-16
  21. Jiang, Q., et al., Seepage Flow with Free Surface in Fracture Networks, Water Resources Research, 49 (2013), 1, pp. 176-186
  22. Jiang, Q., et al., A New Variational Inequality Formulation for Unconfined Seepage Flow through Fracture Networks (in Chinese), Science China Technological Sciences, 55 (2012), 11, pp. 3090-3101
  23. Yao, C., et al., The Variational Inequality Formulation for Unconfined Seepage through 3-D Dense Fracture Networks, Science China Technological Sciences, 56 (2013), 5, pp. 1241-1247
  24. Mandelbrot, B. B., The Fractal Geometry of Nature, W. H. Freeman, New York, USA, 1982
  25. Feder, J., Fractals, Plenum Press, New York, USA, 1988
  26. Xie, H., Fractals in Rock Mechanics, A. A. Balkema, Rotterdam, The Netherlands, 1993
  27. Ju, Y., et al., An Experimental Investigation on the Mechanism of Fluid-Flow through Single Rough Fracture of Rock, Science China Technological Sciences, 56 (2013), 8, pp. 2070-2080
  28. Roberson, J. A., Crowe, C. T., Engineering Fluid Mechanics, Houghton Mifflin, Boston, Mass., USA, 1985
  29. Finnemore, E. J., Franzini, J. B., Fluid Mechanics with Engineering Applications, McGraw-Hill Companies Inc., New York, USA, 2002
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Flow characteristics of fractal fracture with different fractal dimension and different fracture width

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence