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摘要
An effective fracture toughness, based on equivalent energy release-rate hypothesis is presented for homogenizing heterogeneous layered media. Using crack closure method, the energy released when a mode-1 fracture propagates through an equivalent homogenized layer is equated to the sum of the energies released in the heterogeneous layered media. And from extensive numerical experiments, the predictions of fracture tips' positions through this proposed method are of the same range of accuracy as the known linear blend rule; the weakest link arguments technique performed poorly when compared to the other two methods. Therefore, homogenizing heterogeneous layered media with energy consistent approach will reduce the complexities associated with modeling fracture propagation in multi-layer without losing accuracy. Furthermore, an effective fracture toughness, based on equivalent energy release rate, equivalent strain energy, and modified Kachanov's damage theory is presented in this study. The proposed approach will reduce the computation time required in predicting fracture containment potential in formations with opened or sealed natural fractures. And comparing the proposed phenomenological model with the rigorous solution provided by Mori-Tanaka, it was observed that the margin of error was negligible. The benefit of the proposed phenomenological model over the Mori-Tanaka's effective shear modulus model is the ease of estimating the effective fracture toughness. Thus, these models can be applied to quickly estimate the potential for hydraulic fracture containment or broaching possibilities during oil and gas blowouts and fracturing operations. Published by Elsevier B.V.
- 出版日期2017-8
