Abstract
Dispersion equation is derived for the propagation of Rayleigh type surface waves in a liquid saturated porous solid layer lying over an inhomogeneous elastic solid half-space. Effect of heterogeneity on the phase velocity is studied by taking different numerical values of heterogeneity factor for particular models. Dispersion curves have been drawn showing the effect of heterogeneity on the phase velocity.
Similar content being viewed by others
References
Biot M A, Theory of propagation of elastic waves in a fluid-saturated porous solid.J. Acoust. Soc. Am. 28 (1956a) 168–191
Biot M A, Propagation of elastic waves in liquid filled porous solid.J. Appl. Phys. 27 (1956b) 459–467
Biot M A, Generalized theory of acoustic propagation in porous dissipative media,J. Acoust. Soc. Am. 34 (1962) 1256–1264
Deresiewicz H, The effect of boundaries on wave propagation in a liquid-filled porous solid-I,Bull. Seis. Soc. Am. 50 (1960a) 599–607
Deresiewicz H, The effect of boundaries on wave propagation in a liquid filled porous solid-II,Bull. Seis. Soc. Am. 5 (1960b) 51–59
Deresiewicz H, The effect of boundaries on wave propagation in a liquid-filled porous solid,Bull. Seis. Soc. Am. 52 (1962) 627–638
Deresiewicz H and Skalak R, On uniqueness in dynamic poroelasticity,Bull. Seis. Soc. Am. 53 (1963), 783–789
Dutta S, Rayleigh waves in a two-layered heterogeneous medium,Bull. Seis. Soc. Am. 53 (1963) 517
Fatt I, The Biot-Willis elastic coefficients for sandstone,Trans. ASME Ser. E. J. Appl. Mech. 26 1 (1959) 296–297
Gupta R N, Reflection of elastic waves from a linear transition layer,Bull. Seis. Soc. Am. 50 (1966b) 511–526
Honda H,Kisyo-Syusi 9 (1931) 237 (in Japanese)
Hook J F, Separation of the vector wave equation of elasticity for inhomogeneous media,J. Acoust. Soc. Am. 33 (1961) 302
Lal T, Rayleigh waves in an inhomogeneous interstretum,Bull. National Geophys. Res. Inst. 6 (1968) 113–123
Pakeris C L, Propagation of Rayleigh waves in heterogeneous media,J. Appl. Phys. 6 (1935) 133–138
Sezawa K, A kind of waves transmitted over a semi-inifinite solid body of varying elasticity,Bull. Earthq. Res. Inst. (Tokyo) 9 (1931) 310–315
Stoneley R, The transmission of Rayleigh waves in a heterogeneous medium,Mon. Not. R. Astr. Soc. Geophys. Suppl. 3 (1934) 222–232
Yew C H and Jogi P N, Study of wave motions in fluid saturated porous rocks,J. Acoust. Soc. Am. 60 (1976) 2–8
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kumar, R. Surface wave propagation in a liquid-saturated porous solid layer lying over a heterogeneous elastic solid half-space. Proc. Indian Acad. Sci. (Math. Sci.) 108, 69–79 (1998). https://doi.org/10.1007/BF03161314
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03161314