TECHNICAL PAPERS
Jul 1, 1986

Effect of Sediment on Earthquake‐Induced Reservoir Hydrodynamic Response

Publication: Journal of Engineering Mechanics
Volume 112, Issue 7

Abstract

In typical reservoir a sediment layer of considerable depth may be deposited on top of exposed bedrock foundation. The effect of sediment on the dissipation and damping of earthquake induced hydrodynamic waves is by and large ignored in earlier studies of dam‐reservoir‐foundation system. The present work models the sediment as a poroelastic material. For vertical excitations, analytical solutions are sought with the aid of computer algebra (MACSYMA). As a result, the bottom damping coefficients are explicitly expressed as functions of material properties and earthquake frequency. For a modest amount of sediment and slight desaturation of pore water, significant changes in the hydrodynamic response curves are observed.

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References

1.
Bennett, R., and Faris, J., “Ambient and Dynamic Pore Pressure in Fine‐Grained Submarine Sediments in the Mississippi Delta,” Applied Ocean Research, Vol. 1, 1979, pp. 115–123.
2.
Biot, M. A., “Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid, Part I: Low Frequency Range,” Journal of the Acoustic Society of America, Vol. 28, 1956, pp. 168–178.
3.
Fenves, G., and Chopra, A. K., “Effects of Reservoir Bottom Absorption and Dam‐Water‐Foundation Rock Interaction on Frequency Response Functions for Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 13, 1985, pp. 13–31.
4.
MACSYMA Reference Manual, Vols. 1 and 2, Symbolics Inc., 1983.
5.
Hall, J. F., and Chopra, A. K., “Two‐Dimensional Dynamic Analysis of Concrete Gravity and Embankment Dams Including Hydrodynamic Effects,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 305–332.
6.
Mei, C. C., and Foda, M. A., “Wave‐Induced Responses in a Fluid‐Filled Poro‐Elastic Solid with a Free Surface—a Boundary Layer Theory,” Geophysical Journal of the Royal Astronomical Society, Vol. 66, 1981, pp. 597–631.
7.
Verruijt, A., “Elastic Storage of Aquifers,” Flow Through Porous Media, R. J. M. DeWeist, Ed., Academic Press, New York, N.Y., 1969.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 7July 1986
Pages: 654 - 665

History

Published online: Jul 1, 1986
Published in print: Jul 1986

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Authors

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Alexander H.‐D. Cheng, A. M. ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Delaware, Newark, DE 19716

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