Fracture Conductivity Model Based on Proppants with Different Sizes

  • Zhaozhong Yang
  • Liyong Zhu
  • Ping Zhang
  • Danqiong Li
  • Xiaogang Li
  • Fangxuan Tang
Conference paper
Part of the Springer Proceedings in Energy book series (SPE)


Proppants for hydraulic fracturing usually refer to quartz sand, ceramic proppants and their modified products as well. Importantly, the fracture conductivity varies with the performance and properties of different proppants. However, there are still some uncertainties between the material properties and fracture conductivity. To this end, a numerical model was established based on the distribution of proppant particle size, material properties, fractal dimension of pore structure, elastic deformation, proppant embedment according to fractal theory and principle of elastic-plastic mechanics as well, which is used to predict fracture conductivity under multi-factor. The results show that fracture conductivity is directly related to material properties between proppant and reservoir rock. The Young’s modulus of rock has a significant effect on the conductivity of the propped fracture. And, the influence of Poisson’s ratio is weak. The fracture conductivity increases with the increase of pore fractal dimension.


Hydraulic fracturing Fracture conductivity Proppant Material properties Fractal geometry Elastic-plastic mechanics 



This work was supported by the National Science and Technique Major Project through subject number 2016ZX05044004002.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Zhaozhong Yang
    • 1
  • Liyong Zhu
    • 1
  • Ping Zhang
    • 2
  • Danqiong Li
    • 2
  • Xiaogang Li
    • 1
  • Fangxuan Tang
    • 1
  1. 1.State Key Laboratory of Oil & Gas Reservoir Geology and ExploitationSouthwest Petroleum UniversityChengduChina
  2. 2.China United Coalbed Methane Corporation, Ltd.BeijingChina

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