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Comparative seismic analysis of the Dasu concrete gravity dam using Westergaard added mass and Lagrangian fluid structure interaction approaches

Tariq M

2026

Abstract

Abstract The seismic analysis of concrete gravity dams requires accurate representation of dam-reservoir interaction effects, traditionally addressed through Westergaard's added mass approach. While this classical method offers computational simplicity, its restrictive assumptions, including rigid dam behavior, incompressible fluid, and infinite reservoir extent, raise questions about its adequacy for modern high dams subjected to high-frequency seismic excitation. This paper presents a comparative case study contrasting the classical added mass approach with an advanced Lagrangian finite element fluid-structure interaction (FSI) formulation. A two-dimensional finite element analysis of the 242 m Dasu Dam (Pakistan) under the 1971 San Fernando earthquake record is performed using both methods in DIANA, and the resulting discrepancy is compared, for context only, with the discrepancy reported in a previously published study of the 90 m Sariyar Dam (Turkey) under the 1992 Erzincan earthquake. For the Dasu case, using a consistent percentage-difference convention referenced to the Lagrangian result, the added mass approach is found to overestimate peak stresses at the locations examined by approximately 13–18%, compared with a smaller discrepancy reported for the shorter, lower-frequency Sariyar case. Because the two cases differ simultaneously in dam height, earthquake record, geometry, material properties, and modeling implementation, this comparison cannot by itself isolate…

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