2015
DOI: 10.1515/amsc-2015-0005
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Mathematical Model of Forecasting the Formation of Sinkhole Using Salustowicz’s Theory / Model Matematyczny Prognozowania Zapadlisk Przy Wykorzystaniu Teorii Sklepienia Ciśnień Sałustowicza

Abstract: In area affected by old, shallow extraction in some cases sinkholes are formed, causing security issues in urbanized areas. Problem of working out deterministic forecast of this threat seems to be important and up-to-date. Mathematical model presented in this work let us predict the possibility of sinkhole formation. That prediction is essential for analyzing possibility of investments in such areas. Basing on presented work, it is also possible to determine dimensions of sinkhole. Considerations are based on … Show more

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Cited by 15 publications
(18 citation statements)
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“…The model of the sinkhole formation process induced by shallow exploitation of various deposits has been discussed, among others, by [2][3][4][5][6][7][10][11]. The identification of voids and loosened zones from the point of view of geophysical investigations have been undertaken, among others, by [6,[8][9][12][13][14][15][16][17][18][19][20].…”
Section: Model Of the Formation Sinkhole Processmentioning
confidence: 99%
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“…The model of the sinkhole formation process induced by shallow exploitation of various deposits has been discussed, among others, by [2][3][4][5][6][7][10][11]. The identification of voids and loosened zones from the point of view of geophysical investigations have been undertaken, among others, by [6,[8][9][12][13][14][15][16][17][18][19][20].…”
Section: Model Of the Formation Sinkhole Processmentioning
confidence: 99%
“…Shallow subsurface voids and loosened zones of mining origin may be the cause of the activation of sinkhole processes [1][2][3][4][5][6][7][8][9][10][11] (Fig. 1).…”
Section: Introductionmentioning
confidence: 99%
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“…The underground exploitation of deposits often results in the formation of different types of discontinuous deformations which, depending on the depth of the drifts emerge in various forms also on the surface [1][2][3][4]. The condition of the occurrence of a sinkhole on the surface is the presence of the void where the roof is formed a pressure vault and its value is dependent on the width of the headings and the properties of the rocks [5][6][7][8]. The rock material is prone to fracturing and falling down, forming a rubble at the bottom of the void.…”
Section: Introductionmentioning
confidence: 99%
“…The effectiveness of the subsurface treatment depends to a large extent on the correct recognition of the hazard degree in terms of the occurrence of discontinuous deformations on the terrain surface [1,[5][6]. Various methods are used for this purpose as part of geophysical and geological-engineering [7][8][9][10][11][12][13][14][15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%