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A Fractal Perspective On Fracture Initiation And Propagation Of Reservoir Rocks Under Water And Nitrogen Fracturing

Author

Listed:
  • XIN LIANG

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an, Shaanxi, 710048, P. R. China)

  • PENG HOU

    (��State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China‡Department of Industrial and Physical Pharmacy (IPPH), Purdue University, West Lafayette, IN 47907, USA)

  • YI XUE

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an, Shaanxi, 710048, P. R. China)

  • XIAOJUN YANG

    (��State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China§School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China)

  • FENG GAO

    (��State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China§School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China)

  • JIA LIU

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an, Shaanxi, 710048, P. R. China)

Abstract

This paper mainly investigated the fractal characteristics of crack propagation in hydraulic fracturing and the effect of fractal dimension of induced fractures on the rock breakdown pressure. A series of fracturing experiments with water and nitrogen (N2) as the fracturing fluids were conducted on coal, red sandstone and shale. The injection pressure curves, rock breakdown pressure and macro- and micro-morphologies of the induced fractures were analyzed. A new fractal crack initiation criterion was developed to evaluate the rock breakdown pressure in hydraulic fracturing. The validity of the new criterion was verified by comparing the theoretical and experimental rock breakdown pressures. Further, the difference between the water fracturing and N2 fracturing was analyzed and the influence of crack fractal effect on the rock breakdown pressure was discussed by considering different initial permeabilities of rocks, injection rates and viscosities of fracturing fluids. The results show: (1) N2 fracturing may reduce the rock breakdown pressure and induce more tortuous macro-fractures with larger fractal dimension; (2) ignoring the actual fractal dimension of induced fractures would cause the prediction values of the rock breakdown pressure to be larger; and (3) the influence degree of crack fractal dimension on the rock breakdown pressure is related to the initial permeability of rocks, injection rate and viscosity of fracturing fluids. Therefore, we suggest the crack fractal dimension is an important factor that should not be ignored in designing the fracturing operations.

Suggested Citation

  • Xin Liang & Peng Hou & Yi Xue & Xiaojun Yang & Feng Gao & Jia Liu, 2021. "A Fractal Perspective On Fracture Initiation And Propagation Of Reservoir Rocks Under Water And Nitrogen Fracturing," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-26, November.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21501899
    DOI: 10.1142/S0218348X21501899
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    Citations

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    Cited by:

    1. Wang, Chenyu & Geng, Jiabo & Zhang, Dongming & Li, Shujian & Wang, Xiaolei & Li, Qinglin, 2023. "Investigation on damage evolution law of anisotropic shale at different hydraulic pressures," Energy, Elsevier, vol. 282(C).
    2. Liu, Shumin & Sun, Haitao & Zhang, Dongming & Yang, Kun & Li, Xuelong & Wang, Dengke & Li, Yaning, 2023. "Experimental study of effect of liquid nitrogen cold soaking on coal pore structure and fractal characteristics," Energy, Elsevier, vol. 275(C).
    3. Mohamed Elgharib Gomah & Enyuan Wang & Ahmed A. Omar, 2024. "Experimental Investigation on the Damage Evolution of Thermally Treated Granodiorite Subjected to Rapid Cooling with Liquid Nitrogen," Sustainability, MDPI, vol. 16(15), pages 1-23, July.

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