Estimation of Depth and Dimension of Underground Void in Soil by Subsidence Trough Configuration Based on Inverse Problem Solution
L. A. NAZAROV1,2, L. A. NAZAROVA1,2, G. N. KHAN1, M. VANDAMM3
1Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Krasnyi pr. 54, Novosibirsk, 630091 Russia
2Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
3Ecole des Ponts ParisTech, 6-8 Av. B. Pascal, Champs-sur-Marne, 77420 France
Keywords: soil, irreversible deformation, subsidence trough, discrete element method, inverse problem, cost function, approximation
Abstract
The authors offer an approach to estimating parameters of underground voids formed in soil under natural or induced effect. Irreversible deformation of soil is modeled using discrete element method. The formulated inverse problem on geometry and occurrence depth of an underground void by the data on configuration of the subsidence trough has a single-valued solution.
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