Abstract
Frequency dependences of the velocity and attenuation coefficients of the waves propagating along a flat interface between a saturated porous medium and gas (vacuum) are studied. It is shown that the propagation of one or two surface modes is possible, depending on the parameters of the saturated porous medium and the conditions on the interface.
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References
I. A. Viktorov, Sound Surface Waves in Solids [in Russian], Nauka, Moscow (1981).
L. M. Brekhovskikh, Waves in Layered Media [in Russian], Nauka, Moscow (1973).
J. H. Ansell, “The roots of Stoneley wave equation for solid-fluid interfaces,” Pure Appl. Geophys., 94, No. 2, 172–188 (1972).
H. Uberall, “Surface waves in acoustics,” in: W. P. Mason (ed.), Physical Acoustics, Vol. 10, Academic Press, New York (1973), pp. 1–60.
I. A. Viktorov, E. K. Grishchenko, and T. M. Kaekina, “Propagation of ultrasonic surface waves on the interface between a solid and a fluid,” Akust. Zh., 9, No. 2, 162–170 (1963).
Ya. I. Frenkel, “On the theory of seismic and seismoelectric phenomena in humid soil,” Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz., 8, No. 4, 133–150 (1944).
M. A. Biot, “Theory of propagation of elastic waves in a fluid-saturated porous solid,” J. Acoust. Soc. Am., No. 28, 168–191 (1956).
T. J. Plona, “Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies,” Appl. Phys. Lett., No. 36, 259–261 (1980).
H. Deresiewicz, “The effect of boundaries on wave propagation in a fluid-filled porous solid. 4. Surface waves in a half-space,” Bull. Seismol. Soc. Am., 52, No. 3, 627–638 (1962).
H. Deresiewicz and R. Skalak, “On uniqueness in dynamic poroelasticity,” Bull. Seismol. Soc. Am., 53, No. 4, 783–788 (1963)
S. Feng and D. L. Johnson, “High-frequency acoustic properties of a fluid/porous solid interface. 1. New surface mode,” J. Acoust. Soc. Am., 74, No. 3, 906–914 (1983).
S. Feng and D. L. Johnson, “High-frequency acoustic properties of a fluid/porous solid interface. 2. The 2D reflection Green’s function,” J. Acoust. Soc. Am., 74, No. 3, 915–924 (1983).
P. B. Nagy, “Observation of a new surface mode on a fluid-saturated permeable solid,” Appl. Phys. Lett., No. 60, 2735–2737 (1992).
L. Adler and P. B. Nagy, “Measurements of acoustic surface waves on fluid-filled porous rocks,” J. Geophys. Res., No. 99, 17863–17869 (1994).
I. Ya. Edel’man, “Waves on the boundaries of porous media,” Dokl. Ross. Akad. Nauk., 379, No. 2, 200–204 (2001).
A. A. Gubaidullin and O. Yu. Boldyreva, “Propagation of waves along the interface between a saturated porous medium and a fluid,” Akust. Zh., 52, No. 2, 201–211 (2006).
A. A. Gubaidullin and O. Yu. Boldyreva “Waves on the interface between a saturated porous medium and a fluid,” Dokl. Ross. Akad. Nauk., 409, No. 3, 324–327 (2006).
V. N. Nikolaevskii, K. S. Basniev, A. T. Gorbunov, and G. A. Zotov, Mechanics of Saturated Porous Media [in Russian], Nedra, Moscow (1970).
R. I. Nigmatulin, Dynamics of Multiphase Media, Part 1, Hemisphere, New York (1991).
D. L. Johnson, J. Koplik, and R. Dashen, “Theory of dynamic permeability and tortousity in fluid-saturated porous media,” J. Fluid Mech., 176, 379–402 (1987).
D. M. J. Smeulders, R. L. G. M. Smeulders, and M. E. H. van Dongen, “Dynamic permeability: reformulation of theory and new experimental and numerical data,” J. Fluid Mech., No. 245, 211–227 (1992).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 5, pp. 46–55, September–October, 2009.
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Gubaidullin, A.A., Boldyreva, O.Y. Propagation of surface acoustic waves along the free boundary of a saturated porous medium. J Appl Mech Tech Phy 50, 768–775 (2009). https://doi.org/10.1007/s10808-009-0105-z
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DOI: https://doi.org/10.1007/s10808-009-0105-z