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On the extrication of large objects from the ocean bottom (the breakout phenomenon)

Published online by Cambridge University Press:  20 April 2006

Mostafa A. Foda
Affiliation:
Parsons Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A. Present address: E. & E.S. Division, Kuwait Institute for Scientific Research, P.O. Box no. 24885, Safat, Kuwait.

Abstract

An analytical theory is developed to describe how negative pressure, (or ‘mud suction’, as it is sometimes referred to) develops underneath a body as it detaches itself from the ocean bottom. Biot's quasistatic equations of poro-elasticity are used to model the ocean bottom, and a general three-dimensional time-dependent analysis of the problem is worked out first using the boundary-layer approximation recently proposed by Mei and Foda. Then, explicit leading-order analytical solutions are presented for the problems of extrication of slender bodies as well as axisymmetric bodies from the ocean bottom.

Type
Research Article
Copyright
© 1982 Cambridge University Press

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References

Ahlvin, R. G. & Ulery, H. H. 1962 Highway Res. Board Bulletin no. 342, pp. 113.
Biot, M. A. 1941 J. Appl. Phys. 12, 155164.
Biot, M. A. 1956 J. Acoust. Soc. Am. 28, 168191.
Biot, M. A. & Willis, D. J. 1957 J. Appl. Mech. 24, 594604.
Carrier, G. F., Krook, M. & Pearson, C. E. 1966 Functions of a Complex Variable. McGraw-Hill.
Dehart, R. C. & Ursell, C. R. 1967 Southwest Res. Inst. Rep. on Contract N-ONR-336300.
Deresiewicz, H. 1960 Trans. A.S.M.E. E, J. Appl. Mech. 82, 111119.
Jaeger, J. C. & Cook, N. C. W. 1974 Fundamentals of Rock Mechanics. Halsted.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Lambe, T. W. & Whitman, R. V. 1979 Soil Mechanics. Wiley.
Liu, C. L. 1969 U.S. Naval Civ. Engng Lab. Tech. Rep. R635.
Mei, C. C. & Foda, M. A. 1980 In Proc. Int. Symp. on Soils Under Cyclic and Transient Loading (ed. G. N. Pande & O. C. Zienkiewicz), vol. II, pp. 609618. Balkema.
Mei, C. C. & Foda, M. A. 1981 Geophys. J. R. Astron. Soc. 66, 597631.
Muga, B. J. 1968 U.S. Naval Civ. Engng Lab. Tech. Rep. R591.
Poulos, H. G. & Davis, E. H. 1974 Elastic Solutions for Soil and Rock Mechanics. Wiley.
Terzaghi, K. & Peck, R. B. 1948 Soil Mechanics in Engineering Practice. Wiley.
Verruijt, A. 1969 In Flow Through Porous Media (ed. R. J. M. DeWiest). Academic.
Yamamoto, T., Koning, H. L., Sellmeijer, H. & Hijum, E. V. 1978 J. Fluid Mech. 87, 193206.