An Empirical Failure Criterion for Intact Rocks

Abstract

The parameter mi is an important rock property parameter required for use of the Hoek–Brown failure criterion. The conventional method for determining mi is to fit a series of triaxial compression test data. In the absence of laboratory test data, guideline charts have been provided by Hoek to estimate the mi value. In the conventional Hoek–Brown failure criterion, the mi value is a constant for a given rock. It is observed that using a constant mi may not fit the triaxial compression test data well for some rocks. In this paper, a negative exponent empirical model is proposed to express mi as a function of confinement, and this exercise leads us to a new empirical failure criterion for intact rocks. Triaxial compression test data of various rocks are used to fit parameters of this model. It is seen that the new empirical failure criterion fits the test data better than the conventional Hoek–Brown failure criterion for intact rocks. The conventional Hoek–Brown criterion fits the test data well in the high-confinement region but fails to match data well in the low-confinement and tension regions. In particular, it overestimates the uniaxial compressive strength (UCS) and the uniaxial tensile strength of rocks. On the other hand, curves fitted by the proposed empirical failure criterion match test data very well, and the estimated UCS and tensile strength agree well with test data.