Study On Three-Dimension Fractal Distribution Law Of The Crack Face Number In Rock Mass And Emulation Theory

The distribution characteristic of the crack face in rock mass was a important and difficult problem in mechanics of rock mass and engineering, the nature of crack face determined the transmogrification, stability, breakage laws and the seepage nature of rock mass directly, so the research had great value in theory and practicality. In the past, a large number of work concentrated on the statistics law of crack under two-dimention state. Since there was no technique to observe directly under three-dimensional situation and no reliable physics exploiting technology, the three-dimension distribution law of crack face was not found yet. As the yardstick changes of crack face is following self-similarity physics law, this paper prosecuted several deep researches on the crack face in rock mass as follows:1) The fractal geometry theory is used to study the characteristic of crack face number in rock mass and a research method about three-dimension fractal distribution to crack face in rock mass was brought forward. We calculate the number of crack when the position of the crack face distribution is random and the crack face's slant angle and azimuth angle is certain by numeral experiment, and verify that the crack face number in rock mass comforming three-dimension fractal distribution law is correct.2) Through many numeral experiment, using the crack face's slant angle and azimuth angle as parameters, we found some relations between three-dimension fractal parameters and two-dimension fractal parameters in rock mass: DS=(1.0+0.031)*DL + (1.0 + 0.0395), ns= nL, V =1.5986*(2-DL)-3.2935*sin(ST)+3.8263, and found a way to speculate three-dimension fractal parameters from two-dimension fractal parameters.lt is the foundation to describe the distribution laws of crack face in rock mass by the observing results through rock mass section crack,3) This paper constructed the three-dimensional fractal emulation theoretical system and erected three-dimensional fractal emulation model about crack face in rock mass4) A emulation system about crack face in rock mass is developed by Vc ++, it includes the function to get section plane chart and section block chart from three-dimensional network chart automatically, and some of the emulation examples is given. It realized random section and any son pieces in rock mass to analyse the crack face distribution characteristic conveniently and directly and brought great convenience to analyse stability and stress distrubution in rock mass undoubtedly.