caa a22 4500 606189653 CHVBK 20210128100851.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10891-015-1193-7 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1193-7 One-Dimensional Plane Monochromatic Filtration Waves [Elektronische Daten] [A. Filippov, O. Akhmetova] Equations and relations to describe one-dimensional plane monochromatic fi ltration waves in a homogeneous isotropic porous medium have been obtained. To this end, use was made of the equation of motion of a liquid phase with account of frictional forces, which in the case of steady-state fi ltration with parallel streamlines agrees with Darcy′s fi ltration law for an anisotropic medium. The equations of motion and continuity reduced to an equation of telegraphy enabled us to construct relations for the wave number, the absorption and attenuation coefficients, and the velocity of filtration waves. The expression for the phase velocity, the absorption coefficient, and the wave number of filtration waves has made it possible to investigate the correlation between this velocity and the velocity of elastic acoustic waves and the dependence on frequency. The extended theory of fi ltration-wave pressure fields refines the ideas of propagation of monochromatic filtration wave disturbances in a porous medium and confirms the substantial decrease in the velocity in the low-frequency region compared to the velocity of propagation of elastic waves. Springer Science+Business Media New York, 2015 porous medium nationallicence filtration waves nationallicence attenuation coefficient nationallicence piezoconductivity coefficient nationallicence Filippov A. State Autonomous Scientific Establishment "Institute of Applied Research of the Republic of Bashkortostan”, Academy of Sciences of the Republic of Bashkortostan, 68 Odesskaya Str., 453103, Sterlitamak, Bashkortostan, Russia aut Akhmetova O. State Autonomous Scientific Establishment "Institute of Applied Research of the Republic of Bashkortostan”, Academy of Sciences of the Republic of Bashkortostan, 68 Odesskaya Str., 453103, Sterlitamak, Bashkortostan, Russia aut Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 287-292 1062-0125 88:2<287 2015 88 10891 https://doi.org/10.1007/s10891-015-1193-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10891-015-1193-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Filippov A. State Autonomous Scientific Establishment "Institute of Applied Research of the Republic of Bashkortostan”, Academy of Sciences of the Republic of Bashkortostan, 68 Odesskaya Str., 453103, Sterlitamak, Bashkortostan, Russia aut NATIONALLICENCE 700 1- Akhmetova O. State Autonomous Scientific Establishment "Institute of Applied Research of the Republic of Bashkortostan”, Academy of Sciences of the Republic of Bashkortostan, 68 Odesskaya Str., 453103, Sterlitamak, Bashkortostan, Russia aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 287-292 1062-0125 88:2<287 2015 88 10891