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Peridynamic modeling of seepage in multiscale fractured rigid porous media
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 4 ) Pub Date : 2024-03-22 , DOI: 10.1002/nag.3729
Zhuang Cai 1 , Heng Zhang 1 , Zhiyuan Li 1 , Dan Huang 1
Affiliation  

The numerical simulation of seepage in fractured porous media holds significant relevance for subsurface energy development. The presence of fractures at various scales profoundly influences the hydraulic properties of porous media during seepage. A peridynamic (PD)‐based frame is proposed for the seepage problem analysis of multiscale fractured porous media, in which micro‐fractures are implicitly represented like the porous media, macro‐fractures are explicitly represented. For fluid flow modeling, the peridynamic bonds are divided into three types: pore seepage bond, fracture seepage bond, and fluid exchange bond. The micro‐permeabilities of different bonds are derived by Darcy's law, Poiseuille's law, and fluid exchange model, respectively. The proposed peridynamic model can naturally simulate the seepage problem of porous rock with multiscale fractures in a unified framework. Then, four cases of pore seepage and fracture seepage are analyzed using the proposed model, fractured porous media seepage with micro‐fractures and macro‐fractures are respectively considered. The predicted results are compared with the available theoretical solutions, the close agreement shows that the wide validity and applicability of the proposed model in multiscale seepage problems.

中文翻译:

多尺度裂隙刚性多孔介质渗流的近场动力学模拟

裂缝多孔介质渗流的数值模拟对于地下能源开发具有重要意义。不同规模裂缝的存在深刻影响渗流过程中多孔介质的水力特性。提出了一种基于近场动力学(PD)的框架用于多尺度裂隙多孔介质的渗流问题分析,其中微裂缝像多孔介质一样隐式表示,宏观裂缝则显式表示。对于流体流动模拟,近场动力学粘结分为三种类型:孔隙渗流粘结、裂缝渗流粘结和流体交换粘结。不同键的微渗透率分别由达西定律、泊肃叶定律和流体交换模型推导。所提出的近场动力学模型可以在统一的框架中自然地模拟具有多尺度裂缝的多孔岩石的渗流问题。然后,利用所提出的模型分析了四种孔隙渗流和裂缝渗流情况,分别考虑了微裂缝和宏观裂缝的裂隙多孔介质渗流。将预测结果与现有的理论解进行比较,吻合程度表明该模型在多尺度渗流问题中具有广泛的有效性和适用性。
更新日期:2024-03-22
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