Multiscale Computations of Hydraulic Fracture Propagation in Low-Permeability Heterogeneous Rocks

R. Wan, M. Eghbalian, M. Pouragha, L. Fung
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Abstract

A multiscale fracture model for low-permeability brittle rocks which accounts for their microstructure is presented. The work hinges on a microcrack-damage model within a poroelasticity and multiscale framework. A set of damage tensors describes the effect of dual-scale porosities (nanopores and microcracks) on both the hydraulic and poroelasticrock properties. Failure is formulated as a material degradation phenomenon driven by microcrack growth which impacts on hydro-mechanical properties. Essentially, the multiscale model reconstructs the coupling effect of hydro-mechanical forces at the continuum level from the ground up through the upscaling of the phase interactions at the fundamental scales of the material, which is novel in rock mechanics applied to hydraulic fracturing. As an illustration of the enhanced capabilities of the developed model, numerical simulations based on the extended finite element method are presented consideringbench mark problems and lab experimental results of hydraulic fracturing in heterogeneous brittle rocks.
低渗透非均质岩石水力裂缝扩展的多尺度计算
提出了低渗透脆性岩石微观结构的多尺度断裂模型。本研究基于多孔弹性和多尺度框架下的微裂纹损伤模型。一组损伤张量描述了双尺度孔隙(纳米孔和微裂纹)对水力和孔弹性岩石性质的影响。破坏是一种由微裂纹扩展驱动的材料退化现象,影响了材料的水力学性能。从本质上讲,多尺度模型通过提高材料基本尺度上的相相互作用的尺度,在连续体水平上重建了水-机械力的耦合效应,这在岩石力学中应用于水力压裂是新颖的。基于扩展有限元法,结合非均质脆性岩石水力压裂的基准问题和实验室实验结果,对该模型进行了数值模拟。
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