The granitic rock mass existing in shiplock zone of the Three Gorges dam contains a number of major discontinuities, of them one hundred and thirty three major discontinuities have been mapped around the shiplock covering an area of 1740×600m. These major discontinuities were analyzed by using block theory . However, it is important to keep in mind that discontinuities are finite and some key blocks are actually infinite blocks. In this paper, a stochastic model is incorporated into the key block theory to study the slide probability of key blocks on the high slope of the Three-Gorges of the Yangtze River, and the size and density distribution of blocks are also analyzed. The results provide a theoretical basis for the reinforcement of the high slope on the Three-Gorges of the Yangtze River and are of great significance in engineering practice.%基于传统块体理论对不连续岩体的稳定分析是建立在不连续面贯穿所研究岩体的假定基础上的,而实际的岩体不连续面长度是有限的.因此,本文将随机概率模型引入块体理论,研究了三峡永久船闸边坡关键块体的滑落概率和块体的大小及分布密度,结果表明该方法具有重要的工程实用价值.
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