Fracturing, Crushing and Directional Concentration

Serge Antoine Séguret (1)

1 GEOSCIENCES - Centre de Géosciences

This work analyses the statistical link between the number of fractures counted by the geologist on fixed-size samples and the crushed length, i.e. the part of the sample that is crushed, a characteristic of the rock strength which must also be considered. For each sample, the fractures are classified according to their angle with the sample axis and it becomes possible to calculate a new attribute introduced in this paper, the “Directional Concentration”, a measurement of the dispersion of the fractures in the angular domain. This attribute explains the statistical link between fracturing and crushing which leads to their correlation analyzed as a non stationary Regionalized Variable. It then becomes possible to define spatial domains where locally, the fractures are more or less numerous than expected based on a regionalized regression model. Two data sets were studied; the results were analyzed and interpreted by geotechnicians.

Mots clés: Fracturing problem; spatial estimation; directionality; geostatistics

Domaines: Mathématiques [math]; Statistiques [stat]; Sciences de la Terre

Serge Antoine Séguret. Fracturing, Crushing and Directional Concentration. Mathematical Geosciences, 2016, ⟨10.1007/s11004-015-9624-8⟩. ⟨hal-01236290⟩