Petroleum Exploration and Development >

2020 , Vol. 47 >Issue 1: 175 - 185

DOI: https://doi.org/10.11698/PED.2020.01.17

PETROLEUM ENGINEERING

A hydraulic fracture height mathematical model considering the influence of plastic region at fracture tip

  • LI Yuwei ,
  • LONG Min ,
  • TANG Jizhou ,
  • CHEN Mian ,
  • FU Xiaofei
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  • 1. School of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, China;
    2. School of Engineering and Applied Sciences, Harvard University, Cambridge 02138, USA;
    3. School of Petroleum Engineering, China University of Petroleum, Beijing 102249, China

Received date: 2019-07-15

  Online published: 2020-01-17

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Abstract

To predict fracture height in hydraulic fracturing, we developed and solved a hydraulic fracture height mathematical model aiming at high stress and multi-layered complex formations based on studying the effect of plastic region generated by stress concentration at fracture tip on the growth of fracture height. Moreover, we compared the results from this model with results from two other fracture height prediction models (MFEH, FracPro) to verify the accuracy of the model. Sensitivity analysis by case computation of the model shows that the hydraulic fracture growth in ladder pattern, and the larger the fracture height, the more obvious the ladder growth pattern is. Fracture height growth is mainly influenced by the in-situ stresses. Fracture toughness of rock can prohibit the growth of fracture height to some extent. Moreover, the increase of fracturing fluid density can facilitate the propagation of the lower fracture tip.

Key words： hydraulic fracturing; fracture height; plastic region at fracture tip; fracture toughness; multi-layered formation with high in-situ stresses

Cite this article

LI Yuwei , LONG Min , TANG Jizhou , CHEN Mian , FU Xiaofei . A hydraulic fracture height mathematical model considering the influence of plastic region at fracture tip[J]. Petroleum Exploration and Development, 2020 , 47(1) : 175 -185 . DOI: 10.11698/PED.2020.01.17

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