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Numerical Analysis and Applications

2026 year, number 1

Modeling of seismic wave propagation in poroelastic clay shale with admixture

I.K. Khaidarov1, B.Kh. Imomnazarov2, A.A. Mikhailov3, I.K. Iskandarov3
1University of Science and Technology, Tashkent, Uzbekistan
2Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
3Pacific Ocean State University, Khabarovsk, Russia
Keywords: porous medium, permeability, solution, elastic modules, stress tensor, partial density, seismic waves

Abstract

The paper is devoted to modeling the propagation of seismic waves in a chemically inert elastically deformable rock. Only changes in stress and pore pressure are considered, and the chemistry of the saturating pore fluid does not directly affect the deformation of the rock. Chemical effects are taken into account by changing pore pressure and rock deformation in the transport equations. In the numerical solution of the problem under consideration, an algorithm is used to combine a Laguerre integral transform method and a finite difference method. The paper presents results of modeling of the transport of a dissolved substance through a semi-permeable clay shale.