The rock joint roughness has many characteristics like heterogeneity

anisotropy

nonuniformity and scale effect. In engineering practice

different statistical methods are utilized for analyzing the rock joint roughness due to its uncertainty. However

previous studies often neglected the impact of insufficient samples on statistical results. To solve the problem that reasonable number of samples cannot be determined during the statistical measurement of joint roughness

the methods based on the coefficient of class ratio analysis and the simple random sampling principle are proposed for determining the minimum number of samples (MNS)

respectively. In the case study

the MNS of statistical measurements is determined based on the proposed methods. The results of rock joint samples are compared and analyzed with different sample sizes. The results indicate that the coefficient of variation (CV) value of the small samples is significantly larger than that of large ones

and the CV value decreases with the size of samples. The CV values of the joint samples with the sizes of 10?50 cm basically are in a range of 0.31?0.47

and the values for those of 60?100 cm samples are between 0.21?0.31. The relationship between MNS and sample size basically satisfies the power function relationship

and the MNS decreases with the sample size. The MNS determined by the former method with an allowable error of ±2% is consistent with that calculated by the latter with a maximum allowable error of 10% and a confidence level of 95%. The similarity of the results based on these two methods is greater than 0.997. This study can provide basis for quantitatively obtaining the MNS in rock joint roughness statistical measurement

and can ensure the accuracy of JRC statistical analysis. It is of great significance to accurately obtain mechanical parameters of rock joints in rock mass stability evaluation.