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Abstrakty
Dispersion of Rayleigh type surface wave propagation has been discussed for a model of oceanic crust that includes a layer of liquid-saturated porous solid over an impervious isotropic elastic half-space in the model already considered by Kaushik and Tomar. Frequency equation is obtained in the form of determinant. The effects of the width of different layers as well as the inhomogeneity of inhomogeneous layer on surface waves are depicted and shown graphically by considering a particular model. Some special cases have been deduced, which have already been discussed elsewhere.
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Czasopismo
Rocznik
Tom
Strony
443--456
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
autor
- Department of Mathematics, Kurukshetra University, Kurukshetra - 136 119, Haryana, India
autor
- Department of Mathematics, G.I. University, Hisar 125001, Haryana, India
Bibliografia
- 1. Aubkar, I., and J.A. Hudson, 1961, Dispersive properties of liquid overlying an aelotropic half-space, Geophys. J. Roy. astron. Soc. 5, 217-229.
- 2. Altay, G.A., and M.C. Dokmeci, 1998, A uniqueness theorem in Biot's poroelasticity theory, Z. Angew. Math. Phys. 49, 838-846.
- 3. Biot, M.A., 1956a, General solution of the equations of elasticity and consolidation for a porous material, J. Appl. Mech. 23, 91-95.
- 4. Biot, M. A., 1956b, The theory of propagation of elastic waves in a fluid-saturated porous solid, L Acoust. Soc. Am. 28, 168-191.
- 5. Buckingham, M.J., 1998, Theory of compressional and shear waves in fluid like marine sediments, J. Acoust. Soc. Am. 103, 288-299.
- 6. Bullen, K.E., 1963, An Introduction to the Theory of Seismology, Cambridge University Press, Cambridge.
- 7. Burridge, R., and C. A. Vargas, 1979, The fundamental solution in dynamic poroelasticity, Geophys. J. Roy. astron. Soc. 58, 61-90.
- 8. Darcione, J.M., 1990, Wave propagation in anisotropic linear viscoelastic media: Theory and simulated wave fields, Geophys. J. Int. 101, 739-750.
- 9. Chattopadhyay, A., M. Chakraborty and N.P. Mahata, 1986, SH-waves in a porous layer of non-uniform thickness, Eng. Trans. 34, 3-13.
- 10. Deresiewicz, H., 1961, The effect of boundaries on wave propagation in a liquid-filled porous solid: U. Love waves in a porous layer. Bull. Seism. Soc. Am. 51, 51-59.
- 11. Deresiewicz, H., 1962, The effect of boundaries on wave propagation in a liquid-filled porous solid: IV. Surface waves in half-space, Bull. Seism. Soc. Am. 52, 627-638.
- 12. Deresiewicz, H., 1964, The effect of boundaries on wave propagation in a liquid-filled porous solid: VII. Surface waves in a half-space in the presence of liquid layer, Bull. Seism. Soc. Am. 54, 425-430.
- 13. Deresiewicz, H., and J.T. Rice, 1962, The effect of boundaries on wave propagation in a liquid-filled porous solid: III. Reflection of plane waves at a free plane boundary (general case), Bull. Seism. Soc. Am. 52, 595-625.
- 14. Deresiewicz, H., and R. Skalak, 1963, On uniquesness in dynamic poro-elasticity, Bull. Seist Soc. Am. 53, 783-789.
- 15. Ewing, M., W. Jardetzky and F. Press, 1957, Elastic Waves in Layered Media, McGraw-Hill New York.
- 16. Gogna, M.L., 1979, Surface wave propagation in a homogeneous anisotropic layer laying over a homogeneous semi-infinite isotropic half-space and under a uniform layer of liquid Bull. Indian Soc. Earthq. Techn. 16, 1-12.
- 17. Kaushik, V.P., and S.K. Tomar, 1994, Surface waves in vertically heterogeneous and transversely isotropic layer overlying a homogeneous isotropic half-space and under a un form layer of liquid, J. Phys. Earth 42, 399-409.
- 18. Kumar, R., and S. Deswal, 2000, Surface wave propagation in a micropolar liquid-saturate porous solid lying under a uniform layer of liquid, Bull. Cal. Math. Soc. 92, 99-110.
- 19. Kumar, R., A. Miglani and N.R. Garg, 2002, Surface wave propagation in a double liquid layer over a liquid-saturated porous half-space, SADHANA - Acad. Proc. Eng. Sc. 27, 643-655.
- 20. Love, A.E.H., 1944, A Treatise on Mathematical Theory of Elasticity, Dover, New York.
- 21. Rao, Y.V.R., and K.S. Sarma, 1978, Love wave propagation in poroelasticity, Def. Sc. J. 28, 157-160.
- 22. Sharma, B.S., 1973, Effect on dispersions in a multilayered medium due to the presence of an anisotropic layer, PAGEOPH 102, 78-90.
- 23. Sharma, M.D., and M.L. Gogna, 1990, Propagation of elastic waves in a cylindrical bore in liquid-saturated porous solid, Geophys. J. Int. 103, 47-54.
- 24. Sharma, M.D., R. Kumar and M.L. Gogna, 1990, Surface vave propagation in a transverse isotropic elastic layer overlying a liquid-saturated porous solid half-space and lying under a uniform layer of liquid, PAGEOPH 133, 523-540.
- 25. Sun, F., P. Banks-Lee and H. Peng, 1993, Wave propagation theory in anisotropic periodical layered fluid-saturated porous media, J. Acoust. Soc. Am. 93, 1277-1285.
- 26. Wang, Y.S., and Z.M. Zhang, 1997, Propagation of plane waves in transversely isotropic fluid-saturated porous media, Acta Mechanica Sinica 29, 257-268.
- 27. Yew, C.H., and P.N. Jogi, 1976, Study of wave motions in fluid-saturated porous rocksj J. Acoust. Soc. Am. 60, 2-8.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0008-0020