Propagation of shear waves in viscoelastic medium at irregular boundaries

• Autorzy: Chattopadhyay A. , Gupta S. , Sharma V.K. , Kumari P.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to study the shear wave propagation in a viscoelastic layer over a semi-infinite viscoelastic half space due to irregularity in the viscoelastic layer. It is of great interest to study the propaga-tion of shear waves in the assumed medium having a non planar boundary due to its similarity to most of the real situations. The perturbation method is applied to find the displacement field. The effect of complex wave number on dissipation factor is analysed. Finally, as an application, the result obtained has been used to get the reflected field in viscoelastic layer when the shear wave is incident on an irregular boundary in the shape of parabolic irregularity as well as triangular notch. It is observed that the amplitude of this reflected wave decreases with increasing length of the notch, and increases with increasing depth of the irregularity.

Słowa kluczowe

EN

viscoelastic medium; dissipation factor; perturbation technique

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2010
• Tom: Vol. 58, no. 2
• Strony: 196--214
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Chattopadhyay A.

autor

Gupta S.

autor

Sharma V.K.

autor

Kumari P.

• Department of Applied Mathematics, Indian School of Mines University Dhanbad, Jharkhand, India,

Bibliografia

• Abubakar, I. (1962a), Reflection and refraction of plane SH waves at irregular interfaces, J. Phys. Earth 10, 1-14.
• Abubakar, I. (1962b), Reflection and refraction of plane SH waves at irregular interfaces, J. Phys. Earth 10, 15-20.
• Asano, S. (1960), Reflection and refraction of elastic waves at a corrugated boundary surface. Part-I, Bull. Earthq. Res. Inst. 38, 177-197.
• Asano, S. (1961), Reflection and refraction of elastic waves at a corrugated boundary surface. Part-II, Bull. Earthq. Res. Inst. 39, 367-466.
• Asano, S. (1966), Reflection and refraction of elastic waves at a corrugated interface, Bull. Seism. Soc. Am. 56, 201-221.
• Borcherdt, R.D. (1973), Rayleigh-type surface wave on a linear viscoelastic halfspace, J. Acoust. Soc. Am. 54, 1651-1653,
• Caloi, P. (1948), Comportement des ondes de Rayleigh dans unmilieu firmoelastique indefini, Publ. Bur. Cent. Seismol. Int. A 17, 89-108.
• Červený, V. (2004), Inhomogeneous harmonic plane waves in viscoelastic anisotropic media, Stud. Geophys. Geod. 48, 167-186,
• Chattopadhyay, A. (1978), Propagation of SH waves in a viscoelastic medium due to irregularity in the crustal layer, Bull. Cal. Math. Soc. 70, 303-316.
• Chattopadhyay, A., and A.K. Pal (1982), SH waves in anisotropic layer with irregular boundary, Bull. Acad. Pol. Sci. 30, 51-59.
• Cooper, H.F. (1967), Reflection and transmission of oblique plane waves at a interface between viscoelasic media, J. Acoust. Soc. Am. 42, 1064-1069,
• Gogna, M.L., and S. Chander (1985), Reflection and refraction of SH-waves at an interface between anisotropic inhomogeneous elastic and viscoelastic halfspaces, Acta Geophys. Pol. 33, 4, 357-375.
• Gubbins, D. (1990), Seismology and Plate Tectonics, Cambridge University Press, Cambridge, UK, 339 pp.
• Gupta, S. (1987), Reflection and transmission of SH-waves in laterally and vertically heterogeneous media at an irregular boundary, Geophys. Trans. 33, 89-111.
• Kaushik, V.P., and S.D. Chopra (1983), Reflection and transmission of general plane SH-waves at the plane interface between two heterogeneous and homogeneous viscoelastic media, Geophys. Res. Bull. 20, 1-20.
• Manolis, G.D., and R.P. Shaw (1996), Harmonic wave propagation through viscoelastic heterogeneous media exhibiting mild stochasticity—II Application, Soil Dyn. Earthq. Eng. 15, 129-139,
• Romeo, M. (2003), Interfacial viscoelastic SH-wave, Int. J. Solids Struc. 40, 2057-2068,
• Sato, Y. (1952), Study on surface waves. VI: Generation of Love and other type of SH waves, Bull. Earthq. Res. Inst. 30, 101-120.
• Schoenberg, M. (1971), Transmission and reflection of plane waves at an elasticviscoelastic interface, Geophys. J. R. Astr. Soc. 25, 35-47
• Shaw, R.P., and P. Bugl (1969), Transmission of plane waves through layered linear viscoelastic media, J. Acoust. Soc. Am. 46, 649-654,
• Sezawa, K. (1935), Love-waves generated from a source of a certain depth, Bull.Earthq. Res. Inst. 13, 1-17.
• Sezawa. K., and K. Kanai (1938). Damping of periodic visco-elastic waves with increase in focal distance, Bull. Earthq. Res. Inst. 16, 491-503.
• Slavin, L.M., and B. Wolf (1970), Scattering of Love waves in a surface layer with an irregular boundary for the case of a rigid underlying half space, Bull. Seismol. Soc. Am. 60, 859-877.
• Tomar, S.K., R. Kumar, and A. Chopra (2002), Reflection/refraction of SH waves at a corrugated interface between transversely isotropic and viscoelastic solid half spaces, Acta Geophys. Pol. 50, 2, 231-249.
• Wolf, B. (1970), Propagation of Love waves in layers with irregular boundaries, Pure Appl. Geophys. 78, 48-57,