Though a number of formulations have been proposed for phase-field models for hydraulic fracture in a fully saturated porous medium, the definition of the degraded poroelastic strain energy varies from one model to another. This study explores previously proposed forms of the poroelastic strain energy with diffused fracture and assesses their ability to recover the explicit fracture opening aperture. We then propose a new form of degraded poroelastic strain energy derived from micromechanical analyses. Unlike the previously proposed models, our poroelastic strain energy degradation depends not only on the phase-field variable (damage) but also on the type of strain energy decomposition. Comparisons against closed form solutions suggest that our proposed model can recover crack opening displacement more accurately irrespective of Biot's coefficient or the pore-pressure distribution. We then verify our model against the plane strain hydraulic fracture propagation, known as the KGD fracture, in the toughness dominated regime. Finally, we demonstrate the model's ability to handle complex hydraulic fracture interactions with a pre-existing natural fracture.
|Computer methods in applied mechanics and engineering
|10 Aug. 2023
|Veröffentlicht - 1 Nov. 2023
Bibliographische NotizFunding Information:
The authors gratefully acknowledge the funding provided by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Germany through the HIGHER project (Grant No. PA 3451/1-1) . TY’s contribution is funded by the China and Germany Postdoctoral Exchange Program (Grant No. ZD202137 ) and the National Natural Science Foundation of China (Grant No. 12202137 ). The first author (TY) would like to express his gratitude to Dr. Mostafa Mollaali for his help in visualization and Dr. Yijun Chen for the informative discussions. The second author (KY) would like to thank Mr. Yuhao Liu, Mr. Hanzhang Li, and Mr. Noe Hernandez for identifying typo on the preprint.
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