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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 4264627, 12 pages
Research Article

Application of Probabilistic Method to Stability Analysis of Gravity Dam Foundation over Multiple Sliding Planes

School of Hydraulic Engineering, Dalian University of Technology, No. 2 Linggong Road, Dalian 116024, China

Received 9 March 2016; Accepted 5 June 2016

Academic Editor: Egidijus R. Vaidogas

Copyright © 2016 Gang Wang and Zhenyue Ma. 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 current challenge to the engineering profession is to carry out probabilistic methods in practice. The design point method in generalized random space (DPG method) associated with the method of divided difference can be utilized to deal with the complex problem of probability calculation of implicit performance function with nonnormal and correlated variables. For a practical concrete gravity dam, the suggested method is performed to calculate the instability probability of the dam foundation over multiple sliding places. The general conclusions drawn in the paper are identical to those in other research and the method is proved to be feasible, accurate, and efficient. As the same analysis principle, the method can also be used in other similar fields, such as in fields of slopes, earth-rock dams, levees, and embankments.