中南大学学报(自然科学版)2012,Vol.43Issue(4):1405-1410,6.
适用于半迹长测线法的岩体结构面直径Priest-Zhang算法和修正算法适用性
Applicability of Priest-Zhang Algorithm and revised algorithm for semi-trace line sampling to estimate rock discontinuities diameter
摘要
Abstract
A new Priest-Zhang Algorithm was derived from the combination of Priest Equation and Zhang Equation. Priest-Zhang Algorithm brought in truncation bias, and Revised Priest-Zhang Algorithm was proposed from probability theory. Truncation bias was corrected in it. Applicability of both algorithms needs to be defined. First, mean diameter was estimated from distribution of observed semi-trace length by both algorithms. Secondly, the relative errors of estimated mean diameter were compared between both algorithms. 21 sets of experiments were carried out The results show that the estimated mean diameter by Priest-Zhang Algorithm is a linear increasing function of truncation threshold, while that by Revised Algorithm is a horizontal linear function. When truncation threshold is small the estimated mean diameters by both algorithms are similar, and Priest-Zhang Algorithm can be high of accuracy. When truncation threshold is large Revised Algorithm is more accurate, and the correction of truncation bias is significant. In this case Revised Algorithm is prior choice between the two algorithms. A case study in Wenchuan verifies that when truncation threshold is 0.1 m two algorithms are high of accuracy and similar in estimated diameters. The two new diameter algorithms are worth popularizing.关键词
汶川地震/半迹长测线法/直径算法/直径分布/未删截半迹长分布/Priest-Zhang修正算法Key words
Wenchuan earthquake/ semi-trace line sampling/ diameter algorithm/ diameter distribution/ untruncated-uncensored semi-trace length distribution/ Revised Priest-Zhang Algorithm分类
建筑与水利引用本文复制引用
黄磊,唐辉明,张龙,程昊,邹宗兴,葛云峰..适用于半迹长测线法的岩体结构面直径Priest-Zhang算法和修正算法适用性[J].中南大学学报(自然科学版),2012,43(4):1405-1410,6.基金项目
国家重点基础研究发展计划(“973”计划)项目(2011CB710600) (“973”计划)
汶川地震区岩体稳定性评价技术方法资助项目(G091914) (G091914)