Resonance effects under wave propagation in porous medium saturated with liquid

Applied Mathematics, Mechanics and Physics


Аuthors

Ganiev O. R.

Nonlinear Wave Mechanics and Technology Center of the Russian Academy of Science,

e-mail: oleg62@inbox.ru

Abstract

A one-dimensional problem is discussed related to a resonance effects as applies to some finite layer of porous liquid-saturated media. It is shown a possibility to generate unidirectional movements of liquid in porous media with such kind of the wave effects. Resonance nature of these processes is investigated and the main role of a fast wave associated with momentum transfer in a skeleton is determined. The wave influence on such media leads to huge average effective pressure gradients.. Important factor in simulation of wave processes is a friction in the skeleton, because it causes qualitative changes in process characteristics.

Keywords:

resonance; wave; time-averaging; liquid flow; porous medium; porosity; pressure gradient

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