Incertidumbre en la determinación del porcentaje volumétrico de bloques de BIMrocks/BIMsoil a partir de información unidimensional

The mechanical characterization of the deposits of heterogeneous materials (BIMrocks/BIMsoil-Block in Matrix) requires the knowledge of the number of embedded blocks within a weaker matrix (Proportion of Volumetric Blocks, PVB). The randomness in the process of formation of such deposits does not allow to obtain univocal information through the conventional geotechnical survey. It is possible to recognize that as the number and depth of the borehole increase, the uncertainty of the determination of the PVB decrease. However, the quantification of the decrease of uncertainty has not been fully covered. The determination of the PVB in materials BIMrock/BIMsoil has associated an uncertainty that have been studied with physical and analytical models. Such models do not consider the influence of factors like the size, shape and the blocks orientation, that simultaneously affect in the quantification of the uncertainties in the PVB. In this work a computational algorithm has been developed and implemented to analyze the influence of the length and number of borehole, the shape and orientation of the blocks, on the uncertainty level of the determination of the PVB. The results suggest that further investigations of the subsoil (number and length of the perforations), independently of the shape, size and orientation of the blocks, the less is the epistemic uncertainty in the PVB. Nevertheless, it has been found that such uncertainty has an inferior limit that obeys the randomly natural formation of the material BIMrock/BIMsoil.