Uncertainty of volumetric fraction estimates using 2-D measurements

Y. M. Tien, Y. C. Lu, H. H. Chang, Y. C. Chung, J. S. Lin, D. H. Lee

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

This paper presents an analytical solution to quantify the uncertainty of volumetric fraction (Vf) estimates in a heterogeneous material using 2-D probes. The analytical solution was derived based upon the concept of representative volume (RVE). The results show that the uncertainties of the estimates depend upon the size of blocks, measurement area, and level of V f. The analytical solution has been verified via numerical simulation. The latter was carried out by first generating spherical blocks to various level of Vf, which was then sampled by 2D probes in obtaining the Vf estimates and the associated uncertainties. Application examples are given at the end.

Original languageEnglish
Title of host publication46th US Rock Mechanics / Geomechanics Symposium 2012
Pages1474-1479
Number of pages6
StatePublished - 2012
Event46th US Rock Mechanics / Geomechanics Symposium 2012 - Chicago, IL, United States
Duration: 24 Jun 201227 Jun 2012

Publication series

Name46th US Rock Mechanics / Geomechanics Symposium 2012
Volume2

Conference

Conference46th US Rock Mechanics / Geomechanics Symposium 2012
Country/TerritoryUnited States
CityChicago, IL
Period24/06/1227/06/12

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