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Novosibirsk, Russia

Karchevsky A.L.,RAS Sobolev Institute of Mathematics | Nazarov L.A.,Chinakal Institute of Mining | Nazarova L.A.,Chinakal Institute of Mining
Journal of Applied and Industrial Mathematics | Year: 2015

Some algorithm is presented for calculating the concentration of methane from coal slack placed in a sealed container. The algorithm allows us to compute the values of the methane concentration for large times. © 2015, Pleiades Publishing, Ltd. Source


Nazarova L.A.,Chinakal Institute of Mining | Nazarov L.A.,Chinakal Institute of Mining | Karchevsky A.L.,RAS Sobolev Institute of Mathematics | Vandamme M.,ParisTech National School of Bridges and Roads
Journal of Applied and Industrial Mathematics | Year: 2014

A geomechanical model is proposed for gas emission from a coal bed with block structure. Some coefficient inverse problem is formulated for finding the initial gas content as well as the diffusion and mass transfer coefficients from the measured pressure in a well. The solvability of this problem is tested, and the additional data on the gas-kinetic characteristics of the coal bed are shown to be necessary for the inverse problem to have a unique solution. © 2014 Pleiades Publishing, Ltd. Source


Nazarov L.A.,Chinakal Institute of Mining | Nazarova L.A.,Chinakal Institute of Mining | Karchevskii A.L.,Sobolev Institute ofMathematics | Panov A.V.,Chinakal Institute of Mining
Journal of Applied and Industrial Mathematics | Year: 2013

A method is developed of interpreting the measurement data of the variations of displacements and deformations on the free surfaces caused by carrying out mining works. It allows us to quantitatively estimate the horizontal components of the natural stress fields and elastic characteristics of the constructive elements of the excavation technologies of solid mineral deposits. The method is based on the solution of inverse problems for the system of elasticity equations in the domains of an arbitrary shape. The structure of the proposed target functions is studied; the optimal values are determined of the weight coefficients that provide solvability of the inverse problem as well as the limit level of error in the input data of various types is estimated. © 2013 Pleiades Publishing, Ltd. Source


Nazarova L.A.,Chinakal Institute of Mining | Nazarov L.A.,Chinakal Institute of Mining
Journal of Applied and Industrial Mathematics | Year: 2016

Using the finite elementmethod we designed and implemented a nonlinear geomechanical model of the rock mass in the vicinity of the protective dam of tailing facilities in the permafrost of the Kumtor mine (the Kyrgyz Republic). The model takes into account the information on the structure of the object, the data on the strain-strength, thermophysical and filtration properties of frozen and thawed soil, as well as on the seasonal variations in air temperature. Numerical experiments showed that, under constant external conditions, the invariant properties of the rock mass, and the position of the neutral layer, the zero isotherm separating frozen and thawed rocks reaches a stationary position in 12–15 years after filling the storage; minor damage to the antiseepage screen can lead to a vast destruction area in the body of the dam. Using synthetic data, we demonstrated the solvability of the inverse boundary-value problem of determining the timing and location of damage in the anti-seepage screen from the data of piezometric measurements at several observation wells. © 2016, Pleiades Publishing, Ltd. Source

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