Based on Biot’s theory of saturated porous media, the propagation of Rayleigh waves in nonhomogeneous saturated porous media is studied. The frequency equation of Rayleigh waves in inhomogeneous saturated porous media is derived in which the variation of shear modulus is taken into account, and the existence conditions are also given. It is pointed out that the shear modulus of the material parameters is a function of depth via a theoretical derivation, and the final expression of the solid skeleton and fluid displacement in the medium is obtained.
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References
W. C. Lo, “Propagation and attenuation of Rayleigh waves in a semi-infinite unsaturated poroelastic medium,” Adv. Water Resour., 31(10), 1399-1410 (2008).
R. De. Boer, Theory of Porous Media, Springer-Verlag, Berlin (2000).
M. A. Biot, “Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range,” J. Acoust. Soc. Am., 28(2), 168-178 (1956).
M. A. Biot, “Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range,” J. Acoust. Soc. Am., 28(2), 179-191 (1956).
J. Geertsma and D.C. Smit, “Some aspects of elastic wave propagation in fluid-saturated porous solids,” Geophysics, 26(2), 169 (1961).
J. P. Jones, “Rayleigh waves in a poroelastic half-plane,” J. Acoust. Soc. Am., 75, 682-962 (1987).
M. Tajuddin, “Rayleigh waves in a poroelastic half-space,” J. Acoust. Soc. Am., 75, 682-684 (1984).
M. D. Sharma, “Rayleigh waves in dissipative poro-viscoelastic media,” B. Seismol. Soc. Am., 102(6), 2468-2483 (2012).
M. Badiey, A. H. D. Cheng, and I. Jaya, “Deterministic and stochastic analyses of acoustic plane-wave reflection from inhomogeneous porous seafloor,” J. Acoust. Soc. Am., 99(2), 903-913 (1996).
F. X. Zhou, “Transient Dynamic Analysis of Gradient-Saturated Viscoelastic Porous Media,” J.Eng. Mech., 140(4), 1-9 (2014).
V. M. Babich and N. Y. Kirpichnikova, “A new approach to the problem of the Rayleigh wave propagation along the boundary of a non-homogeneous elastic body,” Wave Motion, 40(3), 209-223 (2004).
B. L. N. Kennett, “Seismic waves in laterally inhomogeneous media,” Geophys. J., 27(3), 301-325 (1972).
J. R. K. Narasimham and B. K. Rao, “Finite rayleigh waves in a non-homogeneous media,” Pure Appl. Geophys., 112(1), 67-72 (1974).
S. Chirita, “Rayleigh Waves on an exponentially graded poroelastic half-space,” Elasticity, 110(2), 185-199 (2013).
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Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 4, p. 30, July-August, 2016.
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Ma, Q., Zhou, F. Propagation Conditions of Rayleigh Waves in Nonhomogeneous Saturated Porous Media. Soil Mech Found Eng 53, 268–273 (2016). https://doi.org/10.1007/s11204-016-9397-1
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DOI: https://doi.org/10.1007/s11204-016-9397-1