›› 2009, Vol. 30 ›› Issue (S2): 214-218.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Reliability analysis of rock mass stability based on Hoek?Brown empirical formulas

FU Wen-xi, HU Jing, LIAO Yi, LIU Chang-wu   

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, School of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China
  • Received:2009-08-18 Online:2009-08-10 Published:2011-06-21

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Abstract:

In order to eliminate the accumulative probability errors resulting from the use of the indirect variables in the Hoek?Brown empirical formulas, it is presented that the reliability analysis of rock mass stability should be implemented directly starting with the basic variables of the empirical formulas. On the basis of a brief introduction of the mechanical parameter estimates with the Hoek?Brown formulas, the safety factor of a micro-unit was first defined according to its stress state; and a performance function containing the basic variables of the empirical formula was established. The Rosenbleuth point estimate method was chosen to calculate the mean and standard deviation of the safety factor of element. With the combination of the point estimate and finite element methods, the calculation of the stability reliability of the rock mass was described. The stability analysis of a cut slope shows that the results calculated by the reliability analysis method, are consistent with the occurred failures of the slope. The recommended method is convenient to estimate the stability reliability of slopes, foundations and underground caverns related to the rock mass.

Key words: Hoek?Brown formula, reliability, safety factor, point estimate method, finite element method

CLC Number: 

  • Hoek?Brown公式
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