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A Study on the Estimation of Diameter Distribution and Volumetric Frequency of Joint Discs Using the Least Square Method  

Song Jae-Joon (서울대학교 지구환경시스템공학부)
Publication Information
Tunnel and Underground Space / v.15, no.2, 2005 , pp. 137-144 More about this Journal
Abstract
An estimation technique of the joint diameter distribution using the least square method is suggested. When utilizing the technique by Song and Lee, the diameter distribution would be obtained only from the trace length distribution defined in an infinite window after the trace length distribution is estimated from the contained trace length distribution. With the new technique, however, the diameter distribution can be directly obtained from the sample histogram of the contained trace lengths. Compared with the previous technique, it shows a more accurate result for small sizes of joint samples and provides the joint geometry parameter of volumetric frequency. Verification of this new technique was completed by using Monte Carlo simulations.
Keywords
diameter distribution; least square method; contained trace; volumetric frequency;
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