A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING

A new mathematical model for mining through formation is suggested. A vector function whichdescribes the created displacement possibility of the influence zone points of the mining excavation is applied.The points put under influence react specifically to the offered displacement possibility. The re...

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Main Author: Michail VULKOV
Format: Article
Language:English
Published: Academica Brancusi 2012-05-01
Series:Fiabilitate şi Durabilitate
Subjects:
Online Access:http://www.utgjiu.ro/rev_mec/mecanica/pdf/2012-01.Supliment/18_Michail%20Vulkov.pdf
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author Michail VULKOV
author_facet Michail VULKOV
author_sort Michail VULKOV
collection DOAJ
description A new mathematical model for mining through formation is suggested. A vector function whichdescribes the created displacement possibility of the influence zone points of the mining excavation is applied.The points put under influence react specifically to the offered displacement possibility. The reaction functionaldescribes their behavior. The cause-effect connection between the behavior of the displacement’s sources andthe reaction of the influence area points is described. The vector function of the source of displacement isobtained. The required simplification for mining out a coal seam is made. A new formula for determining thevertical displacement field is obtained.An approach is suggested which makes it possible to determine the rock mass reaction on basis of in-situmeasurements. The reaction of the rock mass of the created displacements possibility is determined analyticallyafter measurements of the displacements in a given mining field. This allows better calculation results to beobtained and offers an opportunity to adapt the calculating procedure to the unique conditions in a specificmining field.
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spelling doaj.art-dd0b6319c02b4f0fa85df0b17792a9862022-12-21T19:30:04ZengAcademica BrancusiFiabilitate şi Durabilitate1844-640X2012-05-011 supliment10106111A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MININGMichail VULKOVA new mathematical model for mining through formation is suggested. A vector function whichdescribes the created displacement possibility of the influence zone points of the mining excavation is applied.The points put under influence react specifically to the offered displacement possibility. The reaction functionaldescribes their behavior. The cause-effect connection between the behavior of the displacement’s sources andthe reaction of the influence area points is described. The vector function of the source of displacement isobtained. The required simplification for mining out a coal seam is made. A new formula for determining thevertical displacement field is obtained.An approach is suggested which makes it possible to determine the rock mass reaction on basis of in-situmeasurements. The reaction of the rock mass of the created displacements possibility is determined analyticallyafter measurements of the displacements in a given mining field. This allows better calculation results to beobtained and offers an opportunity to adapt the calculating procedure to the unique conditions in a specificmining field.http://www.utgjiu.ro/rev_mec/mecanica/pdf/2012-01.Supliment/18_Michail%20Vulkov.pdfmining geomechanicsmining subsidenceinfluence functionreaction function
spellingShingle Michail VULKOV
A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING
Fiabilitate şi Durabilitate
mining geomechanics
mining subsidence
influence function
reaction function
title A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING
title_full A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING
title_fullStr A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING
title_full_unstemmed A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING
title_short A GENERALIZED INTEGRAL-GEOMETRICAL THEORY IN MINING
title_sort generalized integral geometrical theory in mining
topic mining geomechanics
mining subsidence
influence function
reaction function
url http://www.utgjiu.ro/rev_mec/mecanica/pdf/2012-01.Supliment/18_Michail%20Vulkov.pdf
work_keys_str_mv AT michailvulkov ageneralizedintegralgeometricaltheoryinmining
AT michailvulkov generalizedintegralgeometricaltheoryinmining