GEOENT: A Toolbox for Calculating Directional Geological Entropy
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Geosciences |
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| Online Access: | https://www.mdpi.com/2076-3263/12/5/206 |
| _version_ | 1797499572965081088 |
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| author | Daniele Pedretti Marco Bianchi |
| author_facet | Daniele Pedretti Marco Bianchi |
| author_sort | Daniele Pedretti |
| collection | DOAJ |
| description | 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 (μCT) images to aquifer analogues. |
| first_indexed | 2024-03-10T03:49:19Z |
| format | Article |
| id | doaj.art-732a07f14112412e939acac8c116c198 |
| institution | Directory Open Access Journal |
| issn | 2076-3263 |
| language | English |
| last_indexed | 2024-03-10T03:49:19Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Geosciences |
| spelling | doaj.art-732a07f14112412e939acac8c116c1982023-11-23T11:12:15ZengMDPI AGGeosciences2076-32632022-05-0112520610.3390/geosciences12050206GEOENT: A Toolbox for Calculating Directional Geological EntropyDaniele Pedretti0Marco Bianchi1Dipartimento di Scienze della Terra, Università degli Studi di Milano, 20133 Milan, ItalyBritish Geological Survey, Keyworth, Nottingham NG12 5GG, UKGeological 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 (μCT) images to aquifer analogues.https://www.mdpi.com/2076-3263/12/5/206heterogeneityentropymathematical codesubsurfacespatial mappinginformation theory |
| spellingShingle | Daniele Pedretti Marco Bianchi GEOENT: A Toolbox for Calculating Directional Geological Entropy Geosciences heterogeneity entropy mathematical code subsurface spatial mapping information theory |
| title | GEOENT: A Toolbox for Calculating Directional Geological Entropy |
| title_full | GEOENT: A Toolbox for Calculating Directional Geological Entropy |
| title_fullStr | GEOENT: A Toolbox for Calculating Directional Geological Entropy |
| title_full_unstemmed | GEOENT: A Toolbox for Calculating Directional Geological Entropy |
| title_short | GEOENT: A Toolbox for Calculating Directional Geological Entropy |
| title_sort | geoent a toolbox for calculating directional geological entropy |
| topic | heterogeneity entropy mathematical code subsurface spatial mapping information theory |
| url | https://www.mdpi.com/2076-3263/12/5/206 |
| work_keys_str_mv | AT danielepedretti geoentatoolboxforcalculatingdirectionalgeologicalentropy AT marcobianchi geoentatoolboxforcalculatingdirectionalgeologicalentropy |