Abstract
The paper deals with the boundary, coefficient, and mixed inverse problems in modeling solid mineral mining processes. Using a viscoelastic model, a method is proposed to evaluating the equation-of-state parameters that describe deformation of structural units of the room-and-pillar implementation in bedded deposits composed of rocks developing rheological properties. The method is based on the solution of coefficient inverse problem with the data on roof-and-floor convergence in stopes. The formulated and solved inverse problem for the nonlinear parabolic equation allows theoretical substantiation of the determination procedure for the diffusion constant and in situ horizontal stresses in coal-rock massif by measurement data of gas pressure in plugged borehole. A method of day-to-day qualitative assessment of deformation properties of backfill in course of flat bedded deposit mining has been developed on the basis of the solution of the coefficient inverse problem for a set of equations of the linear elastic theory in quasi-static formulation. Uniqueness of the solution only requires simultaneous minimization of two objective functions.
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Acknowledgements
This work was partially supported by the Visby Program, Russian Foundation for Basic Research (project no. 10-05-00736) and the Integration Research Project of the Siberian Branch of the Russian Academy of Sciences no. 14.
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Nazarova, L.A., Nazarov, L.A. (2013). Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties. In: Beilina, L. (eds) Applied Inverse Problems. Springer Proceedings in Mathematics & Statistics, vol 48. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7816-4_6
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DOI: https://doi.org/10.1007/978-1-4614-7816-4_6
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