Luong, H.Khanna, A.Kotooussov, A.Rose, F.Dyskin, A.Pasternak, E.2019-01-152019-01-152018Advances in mechanics: failure, deformation, fatigue, waves and monitoring: Proceedings of The 11th International Conference on Structural Integrity and Failure, 2018 / Dyskin, A., Pasternak, E. (ed./s), pp.95-1009781740524094http://hdl.handle.net/2440/117250Channel fracturing is a novel technique utilised to achieve discontinuous placement of proppant within a hydraulic fracture and create a network of open channels or voids between the proppant-filled regions (proppant columns), which can significantly increase the conductivity of the fracture. The problem of deformation and fluid flow in a partially-filled fracture involves two length scales: a large scale comparable to the length of the fracture ~O(10²) m and a fine scale comparable to the length of the proppant filled regions or ‘columns’ ~ O(1) m. In this paper, a homogenisation procedure is developed to obtain the residual opening profile and effective fracture conductivity at the large scale from the solution of a ‘unit-cell’ problem at the fine scale. The application of the model in a practical scenario is demonstrated by performing a mock numerical simulationen© The AuthorsChannel fracturing; optimal proppant usage; residual opening; homogenisation procedureConference paper0030105795452914Luong, H. [0000-0001-9352-9437]Khanna, A. [0000-0002-9536-6632]Kotooussov, A. [0000-0001-9337-5095]