Journal
GEOSCIENCES
Volume 12, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/geosciences12050206
Keywords
heterogeneity; entropy; mathematical code; subsurface; spatial mapping; information theory
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Funding
- MIUR Project 'Dipartimenti di Eccellenza 2017-Le Geoscienze per la societa: risorse e loro evoluzione'
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This study introduces a toolbox called GEOENT for calculating geological entropy metrics, and updates the definition of geological entropy metrics to consider anisotropy in heterogeneous systems. The study also presents examples of the toolbox's applications in different datasets.
Geological entropy is based on Shannon information entropy and measures order in the structure of a spatial random variable. Metrics have been defined to quantify geological entropy in multidimensional (2D and 3D) heterogeneous systems, for instance, porous and fractured geological media. This study introduces GEOENT, a toolbox that can efficiently be used to calculate geological entropy metrics for any kind of input-gridded field. Additionally, the definition of geological entropy metrics is updated to consider anisotropy in the structure of the heterogeneous system. Directional entrograms provide more accurate descriptions of spatial order over different Cartesian directions. This study presents the development of the geological entropy metrics, a description of the toolbox, and examples of its applications in different datasets, including 2D and 3D gridded fields, representing a variety of heterogeneous environments at different scales, from pore-scale microtomography (mu CT) images to aquifer analogues.
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