JZUS - Journal of Zhejiang University SCIENCE

Journal of Zhejiang University SCIENCE A

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Comparative assessment of finite element formulations for dynamic analysis in low-permeability saturated porous media

Author(s): Anhao PAN^1, ², Daosheng LING^1, ², Xiao MIAO^1, ², Jianjing ZHENG^2, ³
Affiliation(s): ¹Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China ²MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China ³Center for Hypergravity Experimental and Interdisciplinary Research, Zhejiang University, Hangzhou 310058, China
Corresponding email(s): Daosheng LING, dsling@zju.edu.cn
Key Words: Cover function; Linear dependence; Unequal-order element; Stabilized element; Pressure oscillations

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Anhao PAN^1,², Daosheng LING^1,², Xiao MIAO^1,², Jianjing ZHENG^2,³. Comparative assessment of finite element formulations for dynamic analysis in low-permeability saturated porous media[J]. Journal of Zhejiang University Science A,in press.Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/jzus.A2600073

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doi="https://doi.org/10.1631/jzus.A2600073"
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Abstract
Chinese Summary
Academic Network
Reviewer Comment

Abstract: To address the issue of spurious pore pressure oscillations in equal-order finite element analyses of dynamic responses of low-permeability saturated porous media, we compare two primary formulations: (1) a novel unequal-order interpolation element enriched with cover functions, and (2) a stabilized equal-order interpolation element. To circumvent inherent linear dependence issues in the cover function-enriched formulation, specialized quadrilateral and triangular elements are developed for 1D and 2D problems, respectively. The performance of each element type is evaluated for both compressible and incompressible materials. Our results demonstrate that the cover element consistently and accurately captures pore pressure evolution for both forms of material. In contrast, the stabilized equal-order element achieves acceptable accuracy only for incompressible materials with high skeleton stiffness, and exhibits degraded performance for compressible materials. Despite efforts to mitigate the influence of the stabilization term, the numerical results remain prone to either oscillatory or excessively damped responses.

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