A unified variational eigen-erosion framework for interacting brittle fractures and compaction bands in fluid-infiltrating porous media
A unified variational eigen-erosion framework for interacting brittle fractures and compaction bands in fluid-infiltrating porous media
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DOI：
10.1016/j.cma.2017.01.017
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发表时间：
2017-05
影响因子：
7.2
通讯作者：
Kun Wang;WaiChing Sun
中科院分区：
文献类型：
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作者：
Kun Wang;WaiChing Sun
裂缝和压实带的开始和扩展，以及它们在基质中的相互作用，对许多工程应用都很重要，例如水力压裂和二氧化碳储存。裂缝可能成为导致泄漏的流动通道，而压实带的形成往往伴随着孔隙度的显著减少，从而阻止流体通过。本文的目的是提出一个新的统一框架，通过本征变形方法预测裂缝和压实带之间的开始、扩展和相互作用。通过对广义Griffith理论的扩展，我们建立了一个统一的非局部格式，该格式能够预测流体驱动的裂缝和压缩驱动的抗裂纹扩展，同时结合三次定律来复制裂缝和抗裂纹扩展引发的各向异性渗透率变化。一组数值实验验证了该模型的鲁棒性和有效性。
The onset and propagation of the cracks and compaction bands, and the interactions between them in the host matrix, are important for numerous engineering applications, such as hydraulic fracture and CO2 storage. While crack may become flow conduit that leads to leakage, formation of compaction band often accompanies significant porosity reduction that prevents fluid to flow through. The objective of this paper is to present a new unified framework that predicts both the onset, propagation and interactions among cracks and compaction bands via an eigen-deformation approach. By extending the generalized Griffith’s theory, we formulate a unified nonlocal scheme that is capable to predict the fluid-driven fracture and compression-driven anti-crack growth while incorporating the cubic law to replicate the induced anisotropic permeability changes triggered by crack and anti-crack growth. A set of numerical experiments are used to demonstrate the robustness and efficiency of the proposed model.