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Reflection and refraction of waves at the interface of an isotropic medium over a highly anisotropic medium

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EN
Abstrakty
EN
In this paper, we have considered the reflection and refraction of a plane wave at an interface between two half-spaces. The lower half-spaces is composed of highly anisotropic triclinic crystalline material and the upper half-space is homogeneous and isotropic. It has been assumed that due to incidence of a plane quasi-P (qP) wave, three types of waves, namely, quasi-P (qP), quasi-SV (qSV) and quasi-SH (qSH), will be generated in the lower half space whereas P and S waves will be generated in the upper half space. The phase velocities of all the quasi waves have been calculated. It has been assumed that the direction of particle motion is neither parallel nor perpendicular to the direction of propagation. Some specific relations have been established between directions of motion and propagation, respectively. The expressions for reflection coefficients of qP, qSV, qSH and refracted coeffi-cients of P and SV waves are obtained. Results of reflection and refraction coeffi-cients are presented.
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Czasopismo
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Strony
239--249
Opis fizyczny
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autor
  • Department of Applied Mathematics, Indian School of Mines Dhanbad 826 004, Jharkhand, India, c_amares@yahoo.com
Bibliografia
  • Achenbach, J.D., 1976, Wave Propagation in Elastic Solids, North Holland Publishing Company, New York.
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  • Crampin, S., 1977, A review of the effects of anisotropic layering on the propagation of surface waves, Geophys. J. Roy. Astron. Soc. 49, 9-27.
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  • Keith, C.M., and S. Crampin, 1977b, Seismic body waves in anisotropic media: Propagating through a layer, Geophys. J. Roy. Astron. Soc. 49, 209-223.
  • Keith, C.M., and S. Crampin, 1977c, Seismic body waves in anisotropic media: Synthetic seismograms, Geophys. J. Roy. Astron. Soc. 49, 225-243.
  • Knott, C.G., 1899, Reflection and refraction of elastic waves with seismological applications, Phil. Mag. 48, 64-97.
  • Mensch, T., and P. Rasolofosaon, 1997, Elastic-wave velocities in anisotropic media of arbitrary symmetry-generalization of Thomsen's parameters ?, ß and? , Geophys. J. Int. 128, 43-64.
  • Norris, A.N., 1983, Propagation of plane waves in a pre-stressed elastic media, J. Acoust. Soc. Am. 74, 1642-1643.
  • Ogden, R.W., and D.A. Sotiropoulos, 1997, The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids, IMA J. Appl. Math. 59, 95-121.
  • Ogden, R.W., and D.A. Sotiropoulos, 1998, Reflection of plane waves from the boundary of pre-stressed compressible elastic half-space, IMA J. Appl. Math. 61, 61-90.
  • Pal, A.K. and A. Chattopadhyay, 1984, The reflection phenomena of plane waves at a free boundary in a pre-stressed elastic half-space, J. Acoust. Soc. Am. 76, 3, 924-925.
  • Tolstoy, I., 1982, On elastic waves in pre-stressed solids, J. Geophys. Res. 87, 6823-6827.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0014-0064
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