Meshless method for wave propagation in poroelastic transversely isotropic half‐space with the use of perfectly matched layer

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-07-30 DOI:10.1002/nag.3797

Kamal Shaker, Morteza Eskandari‐Ghadi, Soheil Mohammadi

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Abstract

Numerical investigation of wave propagation in transversely isotropic poroelastic half‐space with the use of a new stretched coordinate system through the Meshless Local Petrov–Galerkin (MLPG) formulation is presented in this paper. To this end, the u−p formulation of Biot is adopted as the framework of the porous media. One approach to numerically solve the infinite domain problems is the use of an absorber layer in which the whole half‐space is divided into two parts, that is (i) a finite part, in which the responses are interested, and (ii) the remaining semi‐infinite part, which is replaced by a Perfectly Matched Layer (PML). The stretched coordinates in the PML are introduced in such a way that the wave propagating in it does not generate spurious reflection to the finite part. Comparing the numerical results with some existing exact solutions and evaluating the norm of error demonstrate that the response functions in the finite part are achievable as precise as desired. Some new results are also presented which show the validity of the numerical approach in poroelastic transversely isotropic domain.

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使用完全匹配层的孔弹性横向各向同性半空间中波传播的无网格法

本文通过无网格局部彼得罗夫-加勒金（MLPG）公式，使用新的拉伸坐标系对横向各向同性孔弹性半空间中的波传播进行了数值研究。为此，本文采用 Biot 的 u-p 公式作为多孔介质的框架。数值求解无穷域问题的一种方法是使用吸收层，将整个半空间分为两部分，即(i) 有限部分（对其响应感兴趣）和(ii) 其余半无限部分（由完美匹配层 (PML) 代替）。PML 中的拉伸坐标是以这样一种方式引入的，即在其中传播的波不会对有限部分产生虚假反射。将数值结果与现有的一些精确解进行比较，并对误差规范进行评估，结果表明有限部分的响应函数可以达到预期的精确度。此外，还给出了一些新结果，表明数值方法在孔弹性横向各向同性域中的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

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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