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Mathematical Problems in Engineering
Volume 2016, Article ID 9049260, 10 pages
Research Article

Method of Fusion Diagnosis for Dam Service Status Based on Joint Distribution Function of Multiple Points

1School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China
2State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China

Received 13 April 2016; Accepted 31 July 2016

Academic Editor: Eric Florentin

Copyright © 2016 Zhenxiang Jiang and Jinping He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The traditional methods of diagnosing dam service status are always suitable for single measuring point. These methods also reflect the local status of dams without merging multisource data effectively, which is not suitable for diagnosing overall service. This study proposes a new method involving multiple points to diagnose dam service status based on joint distribution function. The function, including monitoring data of multiple points, can be established with t-copula function. Therefore, the possibility, which is an important fusing value in different measuring combinations, can be calculated, and the corresponding diagnosing criterion is established with typical small probability theory. Engineering case study indicates that the fusion diagnosis method can be conducted in real time and the abnormal point can be detected, thereby providing a new early warning method for engineering safety.