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岩体结构面产状的平面正态概率分布模型 被引量:1

NORMAL PLANE DISTRIBUTION MODEL FOR ORIENTATION OF DISCONTINUITY IN ROCK MASS
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摘要 提出的岩体结构面产状平面正态概率分布模型,是以极点平面投影坐标为分布变量的二维联合正态分布。与球面正态分布相比较,模型更为简单,特征参数也更易于理解,可以描述有明显走向的分布形态,可以用极点中心角距标准差椭圆或椭圆锥形象表示,也易于实现模拟观测。在圆形对称的情况下,平面正态分布模型与球面正态分布模型的分布曲线非常接近,在现实工作中可以代替球面正态分布。 For normal plane distribution model for orientation of discontinuities in rock mass presented in this paper,the normal plane distribution is a twodimensional combined normal distribution in which plane projection coordinates of a pole are taken as random variablesAs compared with using Fisher distribution,this model is further simple,has comprehensible characteristic parameters and can be used for description of distribution shape of discontinuities with obvious strikeThis model can be visually described by an ellipse or elliptic cone of polecenter angular distance standard deviationBy use of this model,the simulation of orientation data can be realized very easilyIn the case of circlesymmetric distribution,the curve of normal plane distribution is almost identical to the curve of Fisher distribution,so the normal plane distribution can replace Fisher distribution in fact
作者 杨小聪
出处 《矿冶》 CAS 2003年第2期1-6,共6页 Mining And Metallurgy
关键词 岩体结构面 产状 平面正态分布模型 极点 平面投影坐标 球面正态分布 角距 标准差 椭圆锥 矢量均值 Discontinuity in rock mass Orientation Probability distribution Angular distance
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  • 1於宗俦 鲁林成.测量平差基础[M].北京:测绘出版社,1983..
  • 2孙玉科 古迅.赤平极射投影在岩体工程地质力学中的应用[M].科学出版社,1983..
  • 3Fisher R.Dispersion on a sphere[ A] .Proceedings of the Royal Society of London, 1953, A217,295 - 305.
  • 4Priest S D. Discontinuity analysis for rock engineering [ M].Chopman & Hall, 1993,87 - 93.

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