适用于半迹长测线法的岩体结构面迹长与直径关系新模型及新算法

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摘要适用于半迹长测线法的岩体结构面迹长与直径概率关系需要研究，基于弦端点在圆周上随机分布、弦中点在圆某一直径上随机分布、弦中点在扇形内随机分布、弦中点在扇形圆弧且直径上同时随机分布、弦中点在扇形直径上随机分布(广义模型)这5种不同等可能假设，得到未删截半迹长与直径的5种概率关系模型，理论与实例证明前4种模型在半迹长测线法中不适用或适用性不强、广义模型适用性强，5种模型填补未删截半迹长与直径概率关系方面的空白。当直径服从均匀分布形式时，提出广义模型直径新算法，在汶川地震中得到成功应用，值得推广。

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关键词 ：岩石力学, 汶川地震, 半迹长测线法, 直径分布, 未删截半迹长分布, 概率关系新模型, 直径新算法

Abstract：Probability relation between trace length and diameter of rock discontinuities applicable for semi-trace scanline sampling needs to be studied. And five kinds of possibilities are assumed as follows：endpoints of chords are distributed randomly on circumference；midpoints of chords are distributed randomly on a circular diameter；midpoints of chords are distributed randomly in sector；midpoints of chords are distributed randomly both on sectorial arc and diameter；midpoints of chords are distributed randomly on sectorial diameter(generalized model)，five models of probability relations between untruncated-uncensored semi-trace length and diameter are acquired. Theory and practice demonstrate that the former four models are not applicable or not quite applicable for semi-trace scanline sampling；while generalized model is quite applicable. The five models supply a gap in previous knowledge of relation between the probability densities of untruncated-uncensored semi-trace length and diameter. When diameters follow uniform distribution pattern，a new diameter algorithm of generalized model is proposed. The new algorithm is applied to Wenchuan earthquake successfully and worth popularizing.

Key words： rock mechanics Wenchuan earthquake semi-trace scanline sampling diameter distribution untruncated- uncensored semi-trace length distribution new model of probability relation new diameter algorithm

收稿日期: 2011-01-20

引用本文:

黄磊，唐辉明，张龙，葛云峰，章广成，刘佑荣. 适用于半迹长测线法的岩体结构面迹长与直径关系新模型及新算法[J]. 岩石力学与工程学报, 2011, 30(4): 733-745.
HUANG Lei，TANG Huiming，ZHANG Long，GE Yunfeng，ZHANG Guangcheng，LIU Yourong. NEW MODEL OF RELATION BETWEEN ROCK DISCONTINUITIES TRACE LENGTH AND DIAMETER FOR SEMI-TRACE SCANLINE SAMPLING AND NEW ALGORITHM. , 2011, 30(4): 733-745.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/I4/733

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