Determination of stress state in coal seam based on inverse problem solution using acoustic sounding data

• Autorzy: Kudaibergenov Mels K. , Iskakov Kazizat T. , Kudaibergenova Bakytzhan S.

Identyfikatory

DOI

10.5277/Msc192611

• Języki publikacji: EN

Abstrakty

EN

The paper presents an algorithm for calculating the horizontal, vertical and tangential stresses in a horizontal coal seam lying between galleries. These stresses are expressed in terms of the Airy function, which satisfies a homogeneous biharmonic equation. For its numerical solution it is necessary to set boundary conditions. Practical limitations do not allow us to determine the tangential stresses on horizontal boundaries of the coal seam. Calculations of stresses are proposed to be carried out in two steps. The first step is to solve the inverse problem for the biharmonic equation to find unknown tangential stresses on horizontal boundaries of the coal seam. The inverse problem is solved by minimizing the residual functional. Its strong convexity is proved, which implies the existence and uniqueness of the solution of the inverse problem. The second step is to solve the boundary value problem for the biharmonic equation to calculate stresses in the coal seam. The result of a numerical experiment is presented.

Słowa kluczowe

EN

coal seam; stress; elasticity theory; biharmonic equation; inverse problem

• Wydawca: Wydział Geoinżynierii, Górnictwa i Geologii, Instytut Górnictwa Politechniki Wrocławskiej
• Czasopismo: Mining Science
• Rocznik: 2019
• Tom: Vol. 26
• Strony: 173--187
• Opis fizyczny: Bibliogr. 41 poz., rys.

Twórcy

autor

Kudaibergenov Mels K.

• Kazakh Humanitarian Juridical Innovative University, st. Mangilik el 11, VKO Semey, Kazakhstan

autor

Iskakov Kazizat T.

• L.N. Gumilyov Eurasian National University, korpus 2, st. Pushkina 11, 010008 Astana, Kazakhstan

autor

Kudaibergenova Bakytzhan S.

• Kazakh Humanitarian Juridical Innovative University, st. Mangilik el 11, VKO Semey, Kazakhstan

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