Uncertainty in estimation of volumetric block proportion of bimrocks by using scanline method

Volumetric block proportion (VBP) is a crucial parameter for assessing the mechanical properties of Bimrocks. The widely used scanline method has been very successful in providing VBP estimates, but the uncertainty for such estimates has only been quantified empirically. This paper presents both analytical and numerical approaches in addressing this issue. Analytical equations were derived for the mean and variance of scanline VBP estimates based upon a representative volume element concept. Extensive numerical simulation was carried that affirmed the analytical solutions. To facilitate a general application, a normalized coefficient of variation equation is given that can be used for assessing the uncertainty of VBP. An illustrated example on its use is given at the end.