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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。
The relationship between the track length of the rock mass and the diameter probability suitable for the half-trace length measurement method needs to be studied. Based on the random distribution of the end points of the string on the circumference, the mid-point of the string is randomly distributed on a certain diameter of the circle, Distribution, the midpoint of the chord is randomly distributed along the arcs and diameters of the arcs, and the five different probable assumptions about the random distribution of the chord midpoints on the fan diameter (generalized model) are obtained. Five probabilities of the undeveloped half length and diameter are obtained The relationship models, theories and examples prove that the first four models are not applicable or have poor applicability in the semi-trace length line method, and the applicability of the generalized model is strong. The five models fill the gap in the relationship between the undeveloped half-trace length and the diameter probability . When the diameter obeys the uniform distribution, a new algorithm of generalized model diameter is proposed, which is successfully applied in Wenchuan earthquake and is worthy of popularization.