Robust Estimation of Angular Parameters of the Surface Moving Basin Boundary Induced by Coal Mining: A Case of Huainan Mining Area

The data of surface movement observation points could be used to obtain the synthetic angles of draw and critical deformation of surface movement basin in the mining area with unconsolidated thick layers. However, they couldn’t be used to get the angles of draw and critical deformation of unconsolidated layers and rock layers, which are called angular parameters of surface movement basin and can be used to describe the outermost boundary and the dangerous boundary. Therefore, the paper presented an estimation method of angular parameters of surface moving basin based on least squares of Huber selecting weight iteration (LSHSWI). The method firstly classified the surface movement observation points with similar geological and mining conditions as the same kinds. Then, the synthetic angles of critical deformation and draw obtained by the observation points were taken as observation values, and angular parameters of surface movement basin were taken as unknown parameters. According to the geometric relationship between the synthetic angles and the angular parameters, the observation equation was established. Finally, the parameters estimation method based on LSHSWI was constructed with consideration of errors in the synthetic angles of draw and critical deformation. The simulation experiments show that the LSHSWI estimation method of angular parameters of surface movement basin has a strong anti-interference ability to errors of observation values. The engineering application shows that the parameter estimation method based on LSHSWI is scientific and practical.