Authors: Jafari, A; Vahab, M; Khalili, N

Open access courtesy of:

DOI https://doi.org/10.36487/ACG_repo/2205_83

Cite As:
Jafari, A, Vahab, M & Khalili, N 2022, 'Multiphysics modelling of fractures in porous media using eXtended finite element method', in Y Potvin (ed.), Caving 2022: Fifth International Conference on Block and Sublevel Caving, Australian Centre for Geomechanics, Perth, pp. 1201-1210, https://doi.org/10.36487/ACG_repo/2205_83

Download citation as:   ris   bibtex   endnote   text   Zotero


Abstract:
Hydraulic fracturing is a technique used to increase the extent of rock fractures via injecting highly pressurised fluid. A key parameter controlling the efficiency of such a stimulation technique is to capture and minimise the amount of fluid leaked into the surrounding porous rock. In the current study, a novel fully coupled eXtended finite element method (XFEM) hydrofracture model is introduced to capture the effect of fluid loss on the efficiency of the fracturing treatment through the generalised leak-off model. In the proposed generalised leak-off model, the effect of the pressure drop on the hydrofracture faces and the associated decrease in the amount of leaked fluid is considered. The XFEM is then implemented into the COMSOL Multiphysics software package for the first time. The developed framework enables the handling of fractures simulations in complex scenarios particularly when various physics such as rock deformation, fluid flow and heat transfer are involved.

Keywords: COMSOL Multiphysics, XFEM, hydraulic fracturing, fractures, porous media

References:
Adachi, JI, & Detournay, E 2008, ‘Plane strain propagation of a hydraulic fracture in a permeable rock’, Engineering Fracture Mechanics, vol. 75, no. 16, pp. 4666–4694.
Belytschko, T & Black, T 1999, ‘Elastic crack growth in finite elements with minimal remeshing’, International Journal for Numerical Methods in Engineering, vol. 45, no. 5, pp. 601–620.
Geertsma, J & De Klerk, F 1969, ‘A rapid method of predicting width and extent of hydraulically induced fractures’, Journal of Petroleum Technology, vol. 21, no. 12, pp. 1571–1581.
Giner, E, Sukumar, N, Tarancón, JE & Fuenmayor, FJ 2009, ‘An Abaqus implementation of the extended finite element method’, Engineering Fracture Mechanics, vol. 76, no. 3, pp. 347–368.
Jafari, A, Broumand, P, Vahab, M & Khalili, N 2022, ‘An eXtended finite element method implementation in COMSOL Multiphysics: solid mechanics’, Finite Elements in Analysis and Design, vol. 202.
Jafari, A, Vahab, M & Khalili, N 2021a, ‘Fully coupled XFEM formulation for hydraulic fracturing simulation based on a generalized fluid leak-off model’, Computer Methods in Applied Mechanics and Engineering, vol. 373.
Jafari, A, Vahab, M, Broumand, P & Khalili, N 2021b, ‘An eXtended finite element method implementation in COMSOL Multiphysics: thermo-hydro-mechanical modeling of fluid flow in discontinuous porous media’, arXiv preprint arXiv:2112.11918.
Khalili, N & Selvadurai, APS 2003, ‘A fully coupled constitutive model for thermo‐hydro‐mechanical analysis in elastic media with double porosity’, Geophysical Research Letters, vol. 30, no. 24.
Khoei, AR, Moallemi, S & Haghighat, E 2012, ‘Self-similar solutions for elastohydrodynamic cavity flow’, Proceedings of the Royal Society of London A, Mathematical and Physical Sciences, vol. 400, no. 1819, pp. 289–313.
Spence, DA & Sharp, P 1985, ‘Self-similar solutions for elastohydrodynamic cavity flow’, Proceedings of the Royal Society of London A: Mathematical and Physical Sciences, vol. 400, no. 1819, pp. 289–313.
Terzaghi, K, Peck, RB & Mesri, G 1996, Soil Mechanics in Engineering Practice, John Wiley & Sons, Hoboken.
Vahab, M, Hirmand, MR, Jafari, A & Khalili, N 2021, ‘Numerical analysis of multiple hydro-fracture growth in layered media based on a non-differentiable energy minimization approach’, Engineering Fracture Mechanics, vol. 241, p. 107361.
Zhou, S, Rabczuk, T & Zhuang, X 2018, ‘Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies’, Advances in Engineering Software, vol. 122, pp. 31–49.
Zienkiewicz, OC, Chan, AHC, Pastor, M, Schrefler, BA & Shiomi, T 1999, Computational Geomechanics, Wiley, Chichester.




© Copyright 2022, Australian Centre for Geomechanics (ACG), The University of Western Australia. All rights reserved.
Please direct any queries or error reports to repository-acg@uwa.edu.au