模拟层状流体饱和多孔介质中近场反平面波传播的半解析方法

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-10-08 DOI:10.1002/nag.3859
Liang Li, Man Wang, Hongyun Jiao, Xiuli Du, Peixin Shi
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引用次数: 0

摘要

基于 Biot u-U 动力公式,提出了一种用于层状流体饱和多孔介质(FSPM)中近场反平面波传播分析的半解析方法。FSPM 的波传播方程由变量分离法解耦。应用薄层元素法(TLEM)对无限域进行离散,并构建一致的人工边界条件。有限元法(FEM)用于有限域的空间离散化和动态响应的数值求解。通过将该方法的数值结果与已发表的参考文献中的结果以及远程人工边界获得的结果进行比较,验证了所提出的方法。随后,该方法被应用于研究 FSPM 中典型的近场反平面波传播问题。此外,还进行了参数敏感性研究,以探讨力学参数(包括固相的渗透系数、孔隙率和剪切模量)对 FSPM 动态响应的影响。研究结果证实了所提出的方法在近场反平面波在 FSPM 中传播分析中的功效和效率。
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A Semi‐Analytical Method for Simulating Near‐Field Antiplane Wave Propagation in Layered Fluid‐Saturated Porous Media
A semi‐analytical method for the near‐field antiplane wave propagation analysis in the layered fluid‐saturated porous media (FSPM) is proposed based on the Biot uU dynamic formulation. The wave propagation equations of the FSPM are decoupled by the variable‐separating method. The thin‐layer element method (TLEM) is applied to discretize the infinite domain and construct the consistent artificial boundary condition. The finite element method (FEM) is adopted for the space discretization of the finite domain and the numerical solution of the dynamic response. The proposed method is validated by the comparison of the numerical results of this method with those in the published references and acquired from the remote artificial boundary. Subsequently, this method is applied to investigate typical near‐field antiplane wave propagation problems in the FSPM. Parametric sensitivity investigations are also executed to explore the impact of mechanical parameters, including permeability coefficients, porosity, and shear modulus of the solid phase, on the dynamic response of the FSPM. The study results confirm the efficacy and efficiency of the proposed method in the near‐field antiplane wave propagation analysis in the FSPM.
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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