Abstract
The body of oceanic water is bounded by sediments and rocks at the bottom and by ice at the surface. Sediments, rocks and sea ices are porous and their pores are filled with sea water or mixtures of air and sea water. It is well known that marine sediments and rocks are anisotropic both elastically (Anderson, 1961; Saada, 1978) as well as hydro-dynamically (Davis, 1969). Elastic and hydrodynamic structures of sea ice are also very anisotropic (Anderson, 1961). Furthermore, marine sediments, rocks and sea ices have layered structures. Therefore, ocean bottoms and ocean ice sheets may be considered as layered anisotropic poro-elastic media.
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References
Anderson, D. A., 1961, Elastic wave propagation in layered anisotropic media, J. Geophys. Res., Vol. 66, No. 9, pp. 2953–2963.
Badiey, M. and T. Yamamoto, 1985, Acoustic normal modes in a homogeneous ocean overlaying layered anisotropic porous beds, JASA 77 (3), 954–961.
Biot, M. A., 1956, Theory of elastic waves in a fluid-saturated porous solid. II. Higher frequency range, JASA (28), 179–191.
Biot, M. A., 1962, Mechanics of deformation and acoustic propagation in porous media, J. Applied Phys. Vol. 33, 1482–1596.
Biot, M. A. and D. G. Willis, 1957, The elastic coefficient of the theory of consolidation, J. of Applied Mech. 24, 594–601.
Davis, S. H., 1969, Porosity and permeability of natural materials in flow through porous media, edited by R.J.M. Dewiest, Academic Press pp. 53–86.
Mellor, M., G. F. N. Cox and H. Bosworth, 1984, Mechanical properties of multi-year sea ice, CRREL, Repport 84–8.
Saada, A. S., G. F. Bianchimi, and L. P. Shook, 1978, The dynamic response of anisotropic clay, Proc. Geotechnical Engineering Div., Specialty Conference on Earthquake Engineering and Soil Dynamics, Vol. II, ASCE, pp. 777–801.
Stoll, R. D., 1977, Acoustic waves in ocean sediments, Geophysics 42, 715 - 725.
Stoll, R. D. and T. K. Kan, 1981, Reflection of acoustic waves at a water- sedimemt interface, JASA 70 (1), 149–156.
Yamamoto, T., 1983a, Acoustic propagation in the ocean with a poro-elastic bottom, JASA 73 (5), 1587–1596.
Yamamoto, T., 1983b, Propagator matrix for continuously layered porous sea beds, Bull. Seismol. Soc. Am. 73, 1599–1620.
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© 1986 Plenum Press, New York
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Yamamoto, T., Badiey, M. (1986). Propagator Matrix for Acoustic Wave Propagation through Anisotropic Porous Media. In: Akal, T., Berkson, J.M. (eds) Ocean Seismo-Acoustics. NATO Conference Series, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2201-6_45
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DOI: https://doi.org/10.1007/978-1-4613-2201-6_45
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