Abstract：The discontinuity density is one of the most important parameters，which can express the distribution of rock masses discontinuities. However，the distributions of discontinuities in rock masses are random and irregular. It is impossible to obtain the true value of discontinuity density accurately in practical engineering. Based on the discontinuities data of rock mass outcrops in field investigation，two-dimensional(2D) and three-dimensional(3D) stochastic fracture network models are established by using computer simulation technology. The discontinuity density approximate value of rock masses is calculated based on mathematical statistics；and 2D and 3D distribution characteristics of discontinuity in rock mass are calculated by using fractal theory. The authors try to establish the mathematical relationship between discontinuity surface density，volume density and 2D，3D fractal dimensions. The calculation results show that discontinuity density and fractal dimension have the same change law that they increase with the increasing factual dimension. The discontinuity density increases linearly with the increasing fractal dimension of discontinuities. The volume density and 3D fractal dimension of discontinuities comprehensively reflect the spatial distribution characteristics of discontinuities in rock mass and the influence for rock mass mechanical strength parameters. The two indices are effective for engineering practice. The equivalent shear strength indices of rock masses can be calculated based on the volume density and 3D fractal dimension of discontinuities.
周福军，陈剑平，牛岑岑. 裂隙化岩体不连续面密度的分形研究[J]. 岩石力学与工程学报, 2013, 32(s1): 2624-2631.
ZHOU Fujun，CHEN Jianping，NIU Cencen. STUDY OF DISCONTINUITY DENSITY OF FRACTURED ROCK MASSES BASED ON FRACTAL THEORY. , 2013, 32(s1): 2624-2631.
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2013, Vol. 32 
