岩石力学与工程学报
巖石力學與工程學報
암석역학여공정학보
CHINESE JOURNAL OF ROCK MECHANICS AND ENGINEERING
2014年
7期
1471-1478
,共8页
郝杰%侍克斌%陈功民%白现军
郝傑%侍剋斌%陳功民%白現軍
학걸%시극빈%진공민%백현군
岩石力学%块体理论%赤平解析法%绝对关键块体概率%迹棱比%修正安全系数
巖石力學%塊體理論%赤平解析法%絕對關鍵塊體概率%跡稜比%脩正安全繫數
암석역학%괴체이론%적평해석법%절대관건괴체개솔%적릉비%수정안전계수
rock mechanics%block theory%stereo-analytical method%absolute key block probability%length ratio of trace to edge%modified safety factor
关键块体理论假设结构面完全贯通所研究岩体,与实际结构面迹线有限长相矛盾,计算得到的关键块体数量偏多且安全系数偏小。根据块体理论赤平解析法求得关键块体棱长以及实际迹线长度,运用结构面迹长概率分布理论将关键块体概率重新定义为绝对关键块体概率、相对关键块体概率及非关键块体概率。以等长三棱锥为例,研究发现,当迹棱比大于100时,绝对关键块体概率接近1.0,可认为此时结构面迹线贯通岩体;当迹棱比等于1.5时,相对关键块体概率达到0.75;当迹棱比大于7.5时,非关键块体概率接近0。通过对布伦口-公格尔水电站地下洞室某关键块体进行稳定性分析,计算得到该块体安全系数为3.145,基于绝对关键块体概率的修正安全系数为4.591~5.233,增幅可达46.0%~66.4%。
關鍵塊體理論假設結構麵完全貫通所研究巖體,與實際結構麵跡線有限長相矛盾,計算得到的關鍵塊體數量偏多且安全繫數偏小。根據塊體理論赤平解析法求得關鍵塊體稜長以及實際跡線長度,運用結構麵跡長概率分佈理論將關鍵塊體概率重新定義為絕對關鍵塊體概率、相對關鍵塊體概率及非關鍵塊體概率。以等長三稜錐為例,研究髮現,噹跡稜比大于100時,絕對關鍵塊體概率接近1.0,可認為此時結構麵跡線貫通巖體;噹跡稜比等于1.5時,相對關鍵塊體概率達到0.75;噹跡稜比大于7.5時,非關鍵塊體概率接近0。通過對佈倫口-公格爾水電站地下洞室某關鍵塊體進行穩定性分析,計算得到該塊體安全繫數為3.145,基于絕對關鍵塊體概率的脩正安全繫數為4.591~5.233,增幅可達46.0%~66.4%。
관건괴체이론가설결구면완전관통소연구암체,여실제결구면적선유한장상모순,계산득도적관건괴체수량편다차안전계수편소。근거괴체이론적평해석법구득관건괴체릉장이급실제적선장도,운용결구면적장개솔분포이론장관건괴체개솔중신정의위절대관건괴체개솔、상대관건괴체개솔급비관건괴체개솔。이등장삼릉추위례,연구발현,당적릉비대우100시,절대관건괴체개솔접근1.0,가인위차시결구면적선관통암체;당적릉비등우1.5시,상대관건괴체개솔체도0.75;당적릉비대우7.5시,비관건괴체개솔접근0。통과대포륜구-공격이수전참지하동실모관건괴체진행은정성분석,계산득도해괴체안전계수위3.145,기우절대관건괴체개솔적수정안전계수위4.591~5.233,증폭가체46.0%~66.4%。
The key block theory assumes that the rock masses are crossed over completely by structural planes, which is in conflicting with the fact that the lengths of traces of structural planes are finite,leading to the overestimation of the number of key blocks and the underestimation of the safety factor in calculations. The edge lengths of key blocks and the actual lengths of traces were thus computed according to the stereo-analytical method of block theory. The key block probability was redefined as absolute key block probability,relative key block probability and non-key block probability according to the probability theory of traces of structural planes. Calculations on the example of an equilateral triangular pyramid showed that when the ratio of length of trace to edge was larger than 100,the absolute key block probability was nearly 1.0 and structural planes could be considered to cross through rock mass in this case. If the ratio of length of trace to edge was equal to 1.5,the relative key block probability reached 0.75 and if the ratio of length of trace to edge was greater than 7.5,the non-key block probability was close to 0. The safety factor of the underground cavern at Bulungl-Gongur hydropower station was 3.145 according to the stability analysis of key block theory and was 4.591-5.233 based on the absolute key block probability,increased 46.0%-66.4%.