A novel hybrid PD-FEM-FVM approach for simulating hydraulic fracture propagation in saturated porous media

IF 5.3 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers and Geotechnics Pub Date : 2024-10-10 DOI:10.1016/j.compgeo.2024.106821
Daosheng Zhang , Zongqing Zhou , Chenglu Gao , Panpan Gai , Xiaochu Chen , Jinbo Chen , Fanlin Bu
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Abstract

To enhance the computational efficiency of fluid–solid coupling in peridynamics (PD), a hybrid modeling approach based on the classical Biot theory is proposed for simulating hydraulic crack propagation in saturated porous media. The deformation and damage of solids are described by the coupling of the finite element method (FEM) and PD. Based on Darcy’s law, the finite volume method (FVM) is used to describe fluid seepage and calculate pore water pressure. The mutual transfer of fluid pressure and solid deformation is realized through the transition layer between the solid layer and the fluid layer. Firstly, the effectiveness of the proposed method is verified by a porous media seepage simulation example. Secondly, the ability and efficiency of this method to simulate crack propagation in saturated porous media are verified by several examples of hydraulic fracturing of rock with a single pre-existing crack. Finally, the synchronous hydraulic fracturing process of rock with double cracks is simulated. The ability of this method to simulate the simultaneous propagation of multiple fractures in the rock under fluid–solid coupling is further illustrated. The aforementioned studies demonstrate that the novel hybrid PD-FEM-FVM approach not only ensures computational accuracy and effectiveness but also significantly enhances computational efficiency.
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模拟饱和多孔介质中水力压裂传播的新型 PD-FEM-FVM 混合方法
为了提高周动力学(PD)中流固耦合的计算效率,我们提出了一种基于经典 Biot 理论的混合建模方法,用于模拟饱和多孔介质中的水力裂缝扩展。固体的变形和损伤是通过有限元法(FEM)和周流体力学(PD)的耦合来描述的。根据达西定律,采用有限体积法(FVM)描述流体渗流并计算孔隙水压力。流体压力和固体变形的相互传递是通过固体层和流体层之间的过渡层实现的。首先,通过多孔介质渗流模拟实例验证了所提方法的有效性。其次,通过几个具有单个预存裂缝的岩石水力压裂实例,验证了该方法模拟饱和多孔介质中裂缝扩展的能力和效率。最后,模拟了双裂缝岩石的同步水力压裂过程。进一步说明了该方法在流固耦合条件下模拟岩石中多条裂缝同时扩展的能力。上述研究表明,新型 PD-FEM-FVM 混合方法不仅能确保计算精度和有效性,还能显著提高计算效率。
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来源期刊
Computers and Geotechnics
Computers and Geotechnics 地学-地球科学综合
CiteScore
9.10
自引率
15.10%
发文量
438
审稿时长
45 days
期刊介绍: The use of computers is firmly established in geotechnical engineering and continues to grow rapidly in both engineering practice and academe. The development of advanced numerical techniques and constitutive modeling, in conjunction with rapid developments in computer hardware, enables problems to be tackled that were unthinkable even a few years ago. Computers and Geotechnics provides an up-to-date reference for engineers and researchers engaged in computer aided analysis and research in geotechnical engineering. The journal is intended for an expeditious dissemination of advanced computer applications across a broad range of geotechnical topics. Contributions on advances in numerical algorithms, computer implementation of new constitutive models and probabilistic methods are especially encouraged.
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