【作者】 文再明；

【导师】 赵阳升；

【作者基本信息】 太原理工大学 ， 工程力学， 2003， 硕士

【摘要】 岩体裂缝面的分布形式是岩体力学与工程中重要和艰难的问题，裂缝面的形态直接决定了岩体的变形、稳定性及其破坏规律，决定了岩体的渗流规律，因此，这项研究具有很大的理论价值和实用价值。过去的大量工作主要集中在平面状态下，裂缝面迹线的统计规律研究。三维情况下，由于无法进行直接观测，又缺乏可靠的物理测试技术，致使岩体裂缝面的三维分布规律远没有得到解决。基于岩体裂缝面尺度变化遵循自相似性的物理规律，本文在岩体裂缝面三维分形分布方面做了如下几方面深入的研究。 1) 应用分形几何学理论对裂缝面数量分形分布进行了研究，提出了岩体裂缝面数量的三维分形分布研究方法；在岩体裂缝面随机分布和裂缝面分组的情况下，用数值试验方法，分别计算各种剖面不同尺度裂缝迹线条数，证明了“岩体裂缝面数量服从三维分形分布规律”这一岩体力学的重要物理结论。 2) 通过大量数值试验，以岩体裂缝面的倾角与方位角为纽带，分析得出了岩体裂缝面数量三维分形分布参数和岩体裂缝迹线二维分形分布参数的关系：D_S=（1.0±0.031）*D_L+1.0±0.0395，n_s=Ψ*n₁，Ψ=1.5986*（2-D_L）-3.2935*sin（ST）+3.8263并提出了由二维分形几何参数来推导三维分形几何参数的方法。为通过岩体剖面裂缝直接观测结果，描述岩体裂缝面分布规律奠定了基础。 3) 本文构建了岩体裂缝面的三维仿真理论体系，建立了岩 太原理』二大学周眨d二研究生学位论文体裂缝面的三维分形仿真模型。 4)采用Vc++开发了岩体裂缝面分布的仿真系统，该仿真系统包括了从三维裂缝网络图中自动生成所需要的剖面和子块的功能，并给出了仿真实例。实现了对岩体内部任意剖面和任何子块角度直接调用分析裂缝分布的便利，无疑给岩体工程稳定性及其应力分布分析带来极大的方便。更多还原

【Abstract】 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.更多还原