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Rock Kriging with the Microscope
Authors:Y L Voytekhovsky and M A Fishman
Institution:(1) Geological Institute, Kola Science Centre, RAS, 14 Fersman Street, 184209 Apatity, Russia;(2) Institute of Mathematical Geology, RANS, 12 Shpalernaya Street, 191187 St. Petersburg, Russia;(3) Komi Science Centre, Ural Division of RAS, Institute of Geology, 54 Pervomayskaya Street, 167000, Syktyvkar, Russia
Abstract:An idea to consider rock textures from a geostatistical viewpoint is suggested. Mineral grains are coded by indicator functions. Four metrics are shown of interest for petrographic applications. The simplest one is used to calculate covariograms of indicators for platinum-bearing gabbronorite from the Pansky rock massif (Kola Peninsula, Russia) with maximal range of 2 units. This is generalized in the concept of a minimal cluster of mineral grains for the given rock. The theory allows us to combine grain-by-grain and cluster-by-cluster considerations of rock texture. It may be used to classify monotonous lithological series using nuances of rock textures.
Keywords:rock texture  kriging  geostatistics  indicator function  metrics  mineral grain  gabbronorite
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