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Numerical Simulation of the Propagation of Hydraulic and Natural Fracture Using Dijkstra’s Algorithm

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Listed:
  • Yanfang Wu

    (Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academic of Sciences, Beijing 100029, China)

  • Xiao Li

    (Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academic of Sciences, Beijing 100029, China)

Abstract

Utilization of hydraulic-fracturing technology is dramatically increasing in exploitation of natural gas extraction. However the prediction of the configuration of propagated hydraulic fracture is extremely challenging. This paper presents a numerical method of obtaining the configuration of the propagated hydraulic fracture into discrete natural fracture network system. The method is developed on the basis of weighted fracture which is derived in combination of Dijkstra’s algorithm energy theory and vector method. Numerical results along with experimental data demonstrated that proposed method is capable of predicting the propagated hydraulic fracture configuration reasonably with high computation efficiency. Sensitivity analysis reveals a number of interesting observation results: the shortest path weight value decreases with increasing of fracture density and length, and increases with increasing of the angle between fractures to the maximum principal stress direction. Our method is helpful for evaluating the complexity of the discrete fracture network, to obtain the extension direction of the fracture.

Suggested Citation

  • Yanfang Wu & Xiao Li, 2016. "Numerical Simulation of the Propagation of Hydraulic and Natural Fracture Using Dijkstra’s Algorithm," Energies, MDPI, vol. 9(7), pages 1-15, July.
    • Handle: RePEc:gam:jeners:v:9:y:2016:i:7:p:519-:d:73360
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    References listed on IDEAS

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    1. Zhaobin Zhang & Xiao Li & Jianming He & Yanfang Wu & Bo Zhang, 2015. "Numerical Analysis on the Stability of Hydraulic Fracture Propagation," Energies, MDPI, vol. 8(9), pages 1-18, September.
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    Cited by:

    1. Zhaohui Chong & Xuehua Li & Xiangyu Chen & Ji Zhang & Jingzheng Lu, 2017. "Numerical Investigation into the Effect of Natural Fracture Density on Hydraulic Fracture Network Propagation," Energies, MDPI, vol. 10(7), pages 1-33, July.
    2. Ziqi Wang & Jinghan He & Alexandru Nechifor & Dahai Zhang & Peter Crossley, 2017. "Identification of Critical Transmission Lines in Complex Power Networks," Energies, MDPI, vol. 10(9), pages 1-19, August.
    3. Chuanliang Yan & Yuanfang Cheng & Fucheng Deng & Ji Tian, 2017. "Permeability Change Caused by Stress Damage of Gas Shale," Energies, MDPI, vol. 10(9), pages 1-11, September.
    4. Klaudia Wilk, 2019. "Experimental and Simulation Studies of Energized Fracturing Fluid Efficiency in Tight Gas Formations," Energies, MDPI, vol. 12(23), pages 1-17, November.

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