The Laguerre spectral method for solving a one-dimensional dynamical problem of magneto-poroelasticity
Keywords:
saturated porous medium, Laguerre transform, interfacial friction, magnetosonic oscillations
Abstract
The paper illustrates the applicability of the Laguerre spectral method to solving a one-dimensional problem of magneto-poroelasticity with the electrokinetic coefficient taken into consideration. We study a one-dimensional non-stationary problem of pulsed action on a saturated porous medium taking into account the effects of electro-magnetoacoustics. The features of the acoustic response to the pulsed electromagnetic action in such system are numerically discovered. We show the dependence of the amplitudes of transverse acoustic waves arriving at the boundary of the porous medium on the external magnetic field for various parameters of the porous medium.
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Received
01-02-2021
How to Cite
Imomnazarov, S. and Mikhailov, A. (2021) “The Laguerre spectral method for solving a one-dimensional dynamical problem of magneto-poroelasticity”, Mathematical notes of NEFU, 28(2), pp. 102-110. doi: https://doi.org/10.25587/SVFU.2021.46.60.007.
Issue
Section
Mathematical Modeling
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