TECHNICAL PAPERS
Mar 1, 1985

Reservoir Bottom Absorption Effects in Earthquake Response of Concrete Gravity Dams

Publication: Journal of Structural Engineering
Volume 111, Issue 3

Abstract

Utilizing a recently developed analytical procedure, linear responses of the tallest non‐overflow monolith of Pine Flat Dam to Taft ground motion are presented for a range of properties for the reservoir bottom materials and various assumptions for the impounded water and foundation rock. In these analyses, the alluvium and sediments at the reservoir bottom, up‐stream of the dam, are modeled by a reservoir bottom that partially absorbs incident hydrodynamic pressure waves. Based on these response results, it is demonstrated that the earthquake response of dams is increased by dam‐water interaction and decreased by reservoir bottom absorption with the magnitude of these effects depending on the flexibility of the foundation rock and on the component of ground motion. It is also shown that the significance of the response of dams to vertical ground motion was overestimated in earlier studies assuming a rigid reservoir bottom.

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References

1.
Chakrabarti, P., and Chopra, A. K., “Hydrodynamic Pressures and Response of Gravity Dams to Vertical Earthquake Component,” Earthquake Engineering and Structural Dynamics, Vol. 1, No. 4, Apr.–June, 1973, pp. 325–335.
2.
Chopra, A. K., “Earthquake Behavior of Reservoir‐Dam Systems,” Journal of the Engineering Mechanics Division, ASCE, Vol. 94, No. EM6, Dec., 1968, pp. 1475–1500.
3.
Chopra, A. K., and Gupta, S., “Hydrodynamic and Foundation Interaction Effects in Earthquake Response of a Concrete Gravity Dam,” Journal of the Structural Division, ASCE, Vol. 107, No. ST8, Aug., 1981, pp. 1399–1412.
4.
Chopra, A. K., and Gupta, S., “Hydrodynamic and Foundation Interaction Effects in Frequency Response Functions for Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 10, No. 1, Jan.–Feb., 1982, pp. 89–106.
5.
Fenves, G., and Chopra, A. K., “Effects of Reservoir Bottom Absorption on Earthquake Response of Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 11, No. 6, Nov.–Dec., 1983, pp. 809–829.
6.
Fenves, G., and Chopra, A. K., “Earthquake Analysis of Concrete Gravity Dams Including Reservoir Bottom Absorption and Dam‐Water‐Foundation Rock Interaction,” Earthquake Engineering and Structural Dynamics, Vol. 12, No. 5, Sept.–Oct., 1984, pp. 663–680.
7.
Fenves, G., and Chopra, A. K., “Effects of Reservoir Bottom Absorption and Dam‐Water‐Foundation Rock Interaction on the Frequency Response Functions for Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 13, 1985.
8.
Hall, J. F., and Chopra, A. K., “Two‐Dimensional Analysis of Concrete Gravity and Embankment Dams Including Hydrodynamic Effects,” Earthquake Engineering and Structural Dynamics, Vol. 10, No. 2, Mar.–Apr., 1982, pp. 305–332.
9.
Rea, D., Liaw, C. Y., and Chopra, A. K., “Mathematical Models for Dynamic Analysis of Concrete Gravity Dams,” Earthquake Engineering and Structural Dynamics, Vol. 3, No. 3, Jan.–Mar., 1975, pp. 249–258.
10.
Rosenblueth, E., “Presión Hidrodinámica en Presas Debida a al Aceleración Vertical con Refracción en el Fondo,” presented at the 1968, 2nd Congreso Nacional de Ingenieriá Sismica, held at Veracruz, Mexico.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 111Issue 3March 1985
Pages: 545 - 562

History

Published online: Mar 1, 1985
Published in print: Mar 1985

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Authors

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Gregory Fenves, A. M. ASCE
Grad. Student, Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
Anil K. Chopra, M. ASCE
Prof. of Civ. Engrg., Univ. of California, Berkeley, Calif.

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