Hydrostatic, Temperature, Time-Displacement Model for Concrete Dams
Publication: Journal of Engineering Mechanics
Volume 133, Issue 3
Abstract
This paper presents frequency domain solution algorithms of the one-dimensional transient heat transfer equation that describes temperature variations in arch dam cross sections. Algorithms are developed to compute the temperature , spatial distribution, and time evolution for the “direct” problem, where the temperature variations are specified at the upstream and downstream faces, and for the “inverse” problem, where temperatures have been measured at thermometers located inside instrumented dam sections. The resulting nonlinear temperature field is decomposed in an effective average temperature, , and a linear temperature difference, , from which the dam thermal displacement response can be deducted. The proposed frequency domain solution procedures are able to reproduce an arbitrary transient heat response by appending trailing temperatures at the end of thermal signals, thus transforming a periodic heat transfer problem in a transient one. The frequency domain solution procedures are used to develop the HTT (hydrostatic, temperature, time) statistical model to interpret concrete dam-recorded pendulum displacements. In the HTT model, the thermal loads are arbitrary and can contain temperature drift or unusual temperature conditions. The explicit use of and in the HTT dam displacement model allows extrapolation for temperature conditions that have never been experienced by the dam before (within the assumption of elastic behavior). The HTT model is applied to the 131-m-high Schlegeis arch dam, and the results are compared with the HST (hydrostatic, seasonal, time) displacement model that is widely used in practice.
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Acknowledgments
The writers wish to express their thanks to Verbund-Austrian Hydro Power (http://www.verbund.at) to provide data to the Schlegeis arch dam study (http://www.atcold.at/case) and Dr. Georges Darbre from the Dam Safety Federal Office for Water and Geology, Switzerland, with whom they had several fruitful technical discussions while developing the frequency domain heat transfer algorithms presented herein. The financial support provided by the Fond Quebecois pour la Recherche en Nature et Technologie (FQRNT), the Natural Science and Engineering Research Council of Canada (NSERC), Hydro-Québec, and Alcan is also greatly acknowledged.
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© 2007 ASCE.
History
Received: Nov 22, 2004
Accepted: Jun 22, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
Notes
Note. Associate Editor: Arif Masud
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