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arXiv · 2211.03114

Averaging-based approach to toughness homogenisation for radial hydraulic fracture

Gaspare Da Fies·Martin Dutko·Daniel Peck
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Abstract

The homogenisation of the fracture toughness is considered in the context of a propagating hydraulic fracture. The radial (penny-shape) model is utilized, in order to incorporate the impact of the viscosity-toughness regime transition over time. A homogenisation strategy based upon temporal-averaging is investigated. This approach incorporates the instantaneous fracture velocity, meaning that it should remain effective in the case of step-wise crack advancement. The effectiveness of the approach is demonstrated for periodic toughness distributions, including those which are unbalanced, utilizing a highly accurate solver.

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BibTeXRIS

Gaspare Da Fies, Martin Dutko, Daniel Peck. 2022-11-06. Averaging-based approach to toughness homogenisation for radial hydraulic fracture. https://arxiv.org/abs/2211.03114

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