Open Collections

The role of fluid induced shear traction on the surface of a hydraulically driven crack.

Banff International Research Station for Mathematical Innovation and Discovery

We discuss the Hydraulic Fracture (HF) model introduced in [1] accounting for the hydraulically induced shear stresses at the crack faces. The model utilizes a general form of the boundary integral operator alongside a revised fracture propagation condition based on the critical value of the energy release rate. The tip asymptotics of the revised model is always consistent with that of the Linear Elastic Fracture Mechanics. We have found that energy release rate criterion takes a more general form in this case and, in fact, plays the role of a natural regulariser in the numerical simulations. As a result, the hydraulically induced tangential tractions may play a significant role in the small toughness and viscosity dominated regimes of crack propagation, while for other regimes the reported results are close to those obtained in the classic model. We have also found that, in case of small toughness or viscosity dominated regimes, the crack redirection angle may change rather significantly for a mixed mode loading [2]. Certain aspects of the recent discussion on the topic [3-5] will be presented and commented. The potential of the revised formulation in tackling some challenges of HF modelling will be demonstrated. References [1] Wrobel, M., Mishuris, G., & Piccolroaz, A. (2017). Energy release rate in hydraulic fracture: Can we neglect an impact of the hydraulically induced shear stress International Journal of Engineering Science, 111, 28â 51. [2] Perkowska, M., Piccolroaz, A., Wrobel, M., & Mishuris, G. (2017). Redirection of a crack driven by viscous fluid. International Journal of Engineering Science, 121, 182â 193. [3] Linkov, A. M. (2017). On influence of shear traction on hydraulic fracture propagation. Material Physics and Mechanics, 32, 272â 277. [4] Linkov, A. M. (2018). Response to the paper by M. Wrobel, G. Mishuris, A. Piccolroaz â Energy release rate in hydraulic fracture: Can we neglect an impact of the hydraulically induced shear stressâ International Journal of Engineering Science, 127, 217â 219. [5] Wrobel, M., Mishuris, G., & Piccolroaz, A. On the impact of tangential traction on the crack surfaces induced by fluid in hydraulic fracture: Response to the letter of A.M. Linkov. Int. J. Eng. Sci. (2018) 127, 217â 219

Mathematics; Mechanics of deformable solids; Fluid mechanics

video/mp4

Author affiliation: Aberystwyth University

2019-03-18

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/68894

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/