Abstract
In this paper, an extended finite element formulation is proposed in order to investigate the effects of different flow regimes of the fracturing fluid on the hydraulic fracturing process. To this end, the inflow and continuity equations of the fracturing fluid through the hydro-fracture are solved in conjunction with the momentum balance equation of the bulk in a sequential manner known as the staggered Newton method. The Reynolds number is applied in order to recognize the development of the laminar or turbulent flow regimes along the flow path line. The loss in energy head due to friction along the hydro-fracture faces is incorporated using the Darcy-Weisbach equation, which in turn leads to the introduction of a specific profile for the fluid pressure associated with each flow regime. At the end, through several numerical simulations the robustness of the developed framework is illustrated, and its significance in the study of hydraulic fracturing problem is demonstrated.
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.
