The article presents the application of the Knothe-Budryk theory as a tool for the prediction of surface deformation and as a preventive measure in mining, using the example of the exploitation of longwall no. 6 in seam 503 and as measurement verification of the estimation of subsidence formation speed. In particular, the generalized function of time was utilised, which is an expansion of the Knothe function of time and which is analogous to the drift function of rheological models. The relation of subsidence speed determined a posteriori, which confirmed the connection between the speed of subsidence formation and the rate of longwall face advance and the k coefficient, which is equal to the maximum slope of an unsteady trough.
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