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research-article

Toughness Dominated Hydraulic Fracture in Permeable Rocks

[+] Author and Article Information
Xuelin Dong

Key Laboratory of Petroleum Engineering, China University of Petroleum, Beijing 18# Fuxue Road, Changping District, 102249, Beijing, China
dongxl@cup.edu.cn

Guangqing Zhang

Key Laboratory of Petroleum Engineering, China University of Petroleum, Beijing 18# Fuxue Road, Changping District, 102249, Beijing, China
zhang@263.com

Deli Gao

Key Laboratory of Petroleum Engineering, China University of Petroleum, Beijing 18# Fuxue Road, Changping District, 102249, Beijing, China
gaodeli@cast.org.cn

Zhiyin Duan

Beijing Key Lab of Heating, Gas Supply, Ventilating and Air Conditioning Engineering, Beijing University of Civil Engineering and Architecture 1# Zhanlanguan Road, Xicheng District, 100044, Beijing, China
duanzhiyin@bucea.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4036475 History: Received February 28, 2017; Revised April 02, 2017

Abstract

A solution to the problem of a hydraulic fracture driven by an incompressible Newtonian fluid at a constant injection rate in a permeable rock is presented in this paper. A set of governing equations are formed to obtain the fracture half-length, crack opening and net fluid pressure. The solution is derived under the assumptions of plane-strain, zero lag between fluid front and crack tip, followed with negligible fluid viscosity. The last assumption is related to a toughness-dominated fracture propagation regime therefore leading to a uniform fluid pressure along the crack surface. Early time and late time asymptotic solutions are obtained, which correspond to both regimes when the fluid contains within the crack and most of the injected fluid infiltrates into the rock, respectively. It is shown that these asymptotic solutions are in a simple form when the fracture propagation is dominated by the material toughness. The transient solution for the evolution from the early time to the late time is also derived by a numerical method.

Copyright (c) 2017 by ASME
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