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Effect of surface wave propagation in a four-layered oceanic crust model

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Języki publikacji
EN
Abstrakty
EN
Dispersion of Rayleigh type surface wave propagation has been discussed in four-layered oceanic crust. It includes a sandy layer over a crystalline elastic half-space and over it there are two more layers—on the top inhomogeneous liquid layer and under it a liquid-saturated porous layer. Frequency equation is obtained in the form of determinant. The effects of the width of different layers as well as the inhomogeneity of liquid layer, sandiness of sandy layer on surface waves are depicted and shown graphically by considering all possible case of the particular model. Some special cases have been deduced, few special cases give the dispersion equation of Scholte wave and Stoneley wave, some of which have already been discussed elsewhere.
Czasopismo
Rocznik
Strony
1119--1131
Opis fizyczny
Bibliogr. 31 poz.
Twórcy
autor
  • Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
autor
  • Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
autor
  • Department of Mathematics, Chaibasa Engineering College (Estd. by Govt. of Jharkhand & Run by Techno India Under PPP), Chaibasa, India
Bibliografia
  • 1. Abubkar I, Hudson JA (1961) Dispersive properties of liquid overlying an aelotropic half-space. Geophys J Roy Astron Soc 5:217–229
  • 2. Biot MA (1952) The interaction of Rayleigh and Stoneley waves with the ocean bottom. Bull Seismol Soc Am 42:81–93
  • 3. Biot MA (1956) The theory of propagation of elastic waves in a fluid-saturated porous solid. J Acoust Soc Am 28:168–191
  • 4. Burlak GN, Koshevaya SV, Hayakawa M, Mondragon JS, Grimalsky VV (1999) Propagation of coupled Rayleigh-Gravity waves on the ocean floor. Geofisca Internacional 38:261–268
  • 5. Deresiewicz H, Skalak R (1963) On uniquesness in dynamic poro-elasticity. Bull Seism Soc Am 53:783–789
  • 6. Dey S, De RK (1984) Stresses in fluid- saturated porous half-space due to normal and tangential loadings. Indian J Pure Appl Math 15:1375–1397
  • 7. Ewing WM, Jardetsky WS, Press F (1957) Elastic waves in layered media. McGraw-Hill Book Company INC, New York
  • 8. Gogna ML (1969) Analysis of seismological data. Ph D thesis, Cambridge University, Cambridge
  • 9. Gogna ML (1979) Surface wave propagation in a homogeneous anisotropic layer lying over a homogeneous semi-infinite isotropic half-space and under a uniform layer of liquid. Bull Indian Soc Earthq Tech 16:1–12
  • 10. Gutenberg B (1925) Aufbau der Erde. Borntraeger, Berlin
  • 11. Jardetzky WS, Press F (1953) Crustal structure and surface wave dispersion, Part III: theoretical dispersion curves for sub-oceanic Rayleigh waves. Bull Seismol Soc Am 43:137–144
  • 12. Kaushik VP, Tomar SK (1994) Surface waves in vertically heterogeneous and transversely isotropic layer overlying a homogeneous isotropic half-space and under a uniform layer of liquid. J Phys Earth 42:399–409
  • 13. Kumar R, Deswal S (2000) Surface wave propagation in a micro polar liquid-saturated porous solid lying under a uniform layer of liquid. Bull Cal Math Soc 92:99–110
  • 14. Kumar R, Hundal BS (2007a) Surface wave propagation in a fluid saturated incompressible porous medium. Sadhana Acad Proc Eng Sci 32:155–166
  • 15. Kumar R, Hundal BS (2007b) Surface wave propagation in a fluid saturated incompressible porous half-space lying under two layers of different liquids. Earth Planets Space 59:929–936
  • 16. Kumar R, Miglani A (2004) Surface wave propagation in an oceanic crust model. Acta Geophysica Polonica 52:443–456
  • 17. Kumar R, Miglani A, Garg NR (2002) Surface wave propagation in a double liquid layer over a liquid-saturated porous half-space. Sadhana Acad Proc Eng Sci 27:643–655
  • 18. Oliver J, Ewing M, Press F (1955) Crustal structure and surface wave dispersion, Part IV, Atlantic and Pacific Ocean basins. Bull Geol Soc Am 66:913–946
  • 19. Pal PC, Mandal D (2012) Surface waves in fluid-saturated porous layer bounded by a liquid layer and an orthotropic elastic half space. J Info Math Sci 4:39–49
  • 20. Pal PC, Kumar S, Mandal D (2015) Surface wave propagation in sandy layer overlying a liquid saturated porous half-space and lying under a uniform liquid layer. Mech Adv Mater Struc 23:59–65
  • 21. Saini SL, Tomar SK (1995) Surface wave propagation in anisotropic elastic layer sandwiched between a uniform layer of liquid and heterogeneous solid eastic half-space. Indian J Appl Math 26:1021–1033
  • 22. Samal SK, Chattaraj R (2011) Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer. Acta Geophys 59:470–482
  • 23. Santos JE, Corbero JM, Ravazzoli CL, Hensley JL (1992) Reflection and transmission coefficients in fluid-saturated porous media. J Acoust Soc Am 91:1911–1923
  • 24. Scholte JGJ (1958) Rayleigh waves in isotropic and anisotropic elastic media, Staatsdrukkerihj En Uitgeverijbedrijf/S-Gravenhage (K.M.M.I102:72)
  • 25. Sezawa K (1935) Rayleigh and Love waves transmitted though the Pacific Ocean and the continents. Bull Earthq Res Inst Tokyo 13:245–249
  • 26. Sharma MD, Kumar R, Gogna ML (1990) Surface wave propagation in a transversely isotropic elastic layer overlying a liquid saturated porous solid half-space and lying under the uniform layer of liquid. Pure Appl Geophys 133:523–539
  • 27. Stoneley R (1926) The effect of the ocean on rayleigh waves. Mon Not R Astron Soc Geophys Suppl 1:349–356
  • 28. Stoneley R (1957) The transmission of Rayleigh waves across an ocean floor with two surface layers. Bull Seismol Soc Am 47:7–14
  • 29. Tiersten HF (1969) Linear piezoelectric plate vibration. Plenum Press, New York
  • 30. Tolstoy I (1954) Dispersive properties of a fluid layer overlying a semi-infinite elastic solid. Bull Seismol Soc Am 44:493–512
  • 31. Weiskopf WH (1945) Stresses in soils under a foundation. J Frank Inst. 239:445–453
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-59c923a7-ac1f-4eb9-9a00-88d90d1f8c3b
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