Abstract
In the paper, a model of a hydraulic fracture with a tip cohesive zone according to the Barenblatt’s approach is considered. The particular case of inviscid fracturing fluid and impermeable rock is studied analytically. Dependencies on time of the fracture length, injection pressure, and fracture opening at the wellbore are obtained, and compared with the corresponding dependencies for a brittle (elliptic-tip) hydraulic fracture. It is proved that on the assumption of finiteness of the cohesive stresses action range, the cohesive zone length cannot also exceed a certain limit value. The limit form of the cohesive zone is obtained, and the limit fracture toughness is evaluated. It is shown that effective fracture toughness tends to the limit value as power function of fracture length with index −1/2.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
