A probabilistic and statistical model of rock deformation
A new approach to the study of strength characteristics of the rocks on the basis of probabilistic and statistical models of the deformation processes (models of dilatancy initiation processes) under conditions of uncertainty is presented. The main purpose of the study is to create geological and ma...
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Format: | Article |
Language: | English |
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EDP Sciences
2021-01-01
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Series: | E3S Web of Conferences |
Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/42/e3sconf_ti2021_03011.pdf |
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author | Katanov Yu. E. |
author_facet | Katanov Yu. E. |
author_sort | Katanov Yu. E. |
collection | DOAJ |
description | A new approach to the study of strength characteristics of the rocks on the basis of probabilistic and statistical models of the deformation processes (models of dilatancy initiation processes) under conditions of uncertainty is presented. The main purpose of the study is to create geological and mathematical tools, which could be used to study the development of volumetric deformation (dilatancy, disintegration) of reservoirs at a constant tension, acting on the array. The information and analytical basis of the performed study consists of methods of mathematical statistics and probability theory and the sedimentary rocks research methods. The probabilistic-statistical approach is formed in the study of deformation processes of the productive stratum structure, taking into account the degree of heterogeneity of the reservoirs. The obtained analytical expressions allow us to determine the moment of the beginning of the volumetric deformation process (dilatancy, disintegration) in the rock, similar to the identification of the bifurcation point in the development of geological and dynamic systems |
first_indexed | 2024-12-16T11:16:51Z |
format | Article |
id | doaj.art-25cd57c9a2644aad97fc1aee0f752f40 |
institution | Directory Open Access Journal |
issn | 2267-1242 |
language | English |
last_indexed | 2024-12-16T11:16:51Z |
publishDate | 2021-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | E3S Web of Conferences |
spelling | doaj.art-25cd57c9a2644aad97fc1aee0f752f402022-12-21T22:33:34ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012660301110.1051/e3sconf/202126603011e3sconf_ti2021_03011A probabilistic and statistical model of rock deformationKatanov Yu. E.A new approach to the study of strength characteristics of the rocks on the basis of probabilistic and statistical models of the deformation processes (models of dilatancy initiation processes) under conditions of uncertainty is presented. The main purpose of the study is to create geological and mathematical tools, which could be used to study the development of volumetric deformation (dilatancy, disintegration) of reservoirs at a constant tension, acting on the array. The information and analytical basis of the performed study consists of methods of mathematical statistics and probability theory and the sedimentary rocks research methods. The probabilistic-statistical approach is formed in the study of deformation processes of the productive stratum structure, taking into account the degree of heterogeneity of the reservoirs. The obtained analytical expressions allow us to determine the moment of the beginning of the volumetric deformation process (dilatancy, disintegration) in the rock, similar to the identification of the bifurcation point in the development of geological and dynamic systemshttps://www.e3s-conferences.org/articles/e3sconf/pdf/2021/42/e3sconf_ti2021_03011.pdf |
spellingShingle | Katanov Yu. E. A probabilistic and statistical model of rock deformation E3S Web of Conferences |
title | A probabilistic and statistical model of rock deformation |
title_full | A probabilistic and statistical model of rock deformation |
title_fullStr | A probabilistic and statistical model of rock deformation |
title_full_unstemmed | A probabilistic and statistical model of rock deformation |
title_short | A probabilistic and statistical model of rock deformation |
title_sort | probabilistic and statistical model of rock deformation |
url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/42/e3sconf_ti2021_03011.pdf |
work_keys_str_mv | AT katanovyue aprobabilisticandstatisticalmodelofrockdeformation AT katanovyue probabilisticandstatisticalmodelofrockdeformation |