Application of Finite Element Method for Solving Seismoacoustic Modeling Problems in Poroelastic Composite Media
Nurtas M. Tokmukhamedova F. Ydyrys A. Zhantaev Zh. Nurakynov S. Iskakov B. Altaibek A. Matkerim B.
December 2023Engineered Science Publisher
Engineered Science
2023#26
The present study is devoted to solving the problem of seismic and acoustic wave propagation in the porous media for composite domains. For simplicity, simple geometry was selected, where domain Ω in consideration consists of three different domains Ωk, k = 1, 2, 3 with different physical and geometrical properties. The wave propagation in the solid skeleton Ωs of Ω is governed by the Lames equations. The fluid dynamics in the liquid domain [Formula presented] is governed by the Stokes equations. To model the geometry, we postulate that there are two small parameters: the dimensionless size of pores ε and the dimensionless size of fractures δ and ε ≤ δ, where ε = Ll is the dimensionless pore size, l is the average size of pores. Domains Ωf,1 and Ωf,3 have the ε-periodic structure and the domain Ωf,2 has the δ-periodic structure with ε = δr, 0 < r < 1. At the common boundaries of the liquid-solid area, the usual continuity condition of continuum mechanics holds. The main goal of the study is the numerical implementations using finite element method (FEM) for the analysis of wave propagation in Ω. The impact of the study on the composites field offers valuable insights into materials behavior under dynamic loading conditions, improving the composite structures across industries.
Finite element method , Fractured porous media , Numerical simulation , Stokes and Lame equations , Wave propagation
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Department of Mathematical and Computer Modelling, International Information Technology University, 34/1 Manas Street, Almaty, 050040, Kazakhstan
Institute of Ionosphere, 117 Gardening community IONOSPHERE, Almaty, 050020, Kazakhstan
Department of Computer Science, Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, Almaty, 050040, Kazakhstan
Department of Mathematical and Computer Modelling
Institute of Ionosphere
Department of Computer Science
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