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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Main Author: Katanov Yu. E.
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
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
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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
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