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Journal of Applied Mechanics and Technical Physics

2018 year, number 3

Low-Frequency Deceleration of a Filtration Wave in Layered-Inhomogeneous Permeable Formations

A. I. Filippov, O. V. Akhmetova, A. A. Kovalskii
Bashkir State University, Sterlitamak, Russia, 453103
Keywords: волновое уравнение, волновое поле давления, фильтрация, анизотропная среда, коэффициент поглощения, волновое число, фазовая скорость, wave equation, pressure wave field, filtration, anisotropic medium, absorption coefficient, wavenumber, phase velocity

Abstract

Analytical frequency dependences of the absorption coefficient, wavenumber, and phase velocity were constructed for filtration-wave fields in a highly permeable interlayer bounded from above and from below by layers having high permeability in the vertical direction. It is shown that as the frequency decreases, the phase velocity of the wave decreases to values below this velocity in the porous medium, and low-frequency deceleration occurs.