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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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

Received: 20 January 2011

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https://rockmech.whrsm.ac.cn/EN/Y2011/V30/I4/733

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