Numerical investigation of the flow regimes through hydraulic fractures using the X-FEM technique. (January 2017)

• Record Type: Journal Article
• Authors: Vahab, M.; Khalili, N.
• Is Part Of: Engineering fracture mechanics. Volume 169(2017)
• Page Start: 146
• Page End: 162
• Publication Date: 2017-01
• Subjects: Hydraulic fracture growth -- X-FEM -- Cohesive crack model -- Staggered algorithm -- Laminar/turbulent flow regimes; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2016.11.017
• Languages: English
• ISSNs: 0013-7944

Abstract

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.