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

  • Lei WangEmail author
  • Chuang Jiang
  • Tao Wei
  • Nan Li
  • Shenshen Chi
  • Jianfeng Zha
  • Suyang Fang
Surveying and Geo-Spatial Engineering


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.


Mining subsidence Surface moving basin Angular parameters Least squares of Huber selecting weight iteration Parameter estimation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



The work was supported by the National Natural Science Foundation of China (Grant numbers 41602357, 41474026), Anhui University Natural Science Research Project (Grant number KJ2016A190).


  1. Andersen R (2008) Modern methods for robust regression. Sage Publications, Los Angeles, CA, USA, 18–27CrossRefGoogle Scholar
  2. Bahaguna PP, Srivastava AMC, Saxen ANC (1991) A critical review of mine subsidence prediction methods. Mining Science and Technology 13(3):369–382, DOI: CrossRefGoogle Scholar
  3. Chai J, Qiu B, Li Yi, Zhu L (2012) Simulation experiment of embedded fiber bragg grating monitoring in rock deformation through borehole. Journal of Mining and Safety Engineering 29(1):44–47, DOI: Google Scholar
  4. Chai J, Yuan Q, Li Y, Zhang DD, Liu Q (2016) Experimental study on overlying strata deformation based on distributed optical fiber sensing. Chinese Journal of Rock Mechanics and Engineering 35(Supp.2):3589–3596, DOI: Google Scholar
  5. Chai J, Zhao WH, Li Y, Cui C, Wang DC (2013) FBG monitoring test on settlement deformation of overlaying strata in similar models. Journal of China Coal Society 38(1):55–60, DOI: Google Scholar
  6. Cheng WM, Sun LL, Wang G, Du WZ, Qu HY (2016) Experimental research on coal seam similar material proportion and its application. International Journal of Mining Science and Technology 26(5):913–918, DOI: CrossRefGoogle Scholar
  7. Cui XM, Miao XX, Su DG, Ma WM (2002) Error analysis in similar material simulation test of the movement of rock strata and surface. Chinese Journal of Rock Mechanics and Engineering 21(12):1827–1830Google Scholar
  8. Fan ZW, Guo YH, Yang KM (2014) Routinized studying mode on land surface movement and deformation law of mining subsidence in coal mine. Coal Science and Technology 42(Supp):252–255, DOI: Google Scholar
  9. Feng HJ (2019) Method of CS wide area surveying adjustment. Science of Surveying and Mapping 44(1):1–4, DOI: Google Scholar
  10. Feng GR Ren YF, Wang X, Li JZ, Kang LX (2011) Experimental study on the movement and deformation of rock strata between coal seams in the coal mining above gob area. Journal of Mining and Safety Engineering 28(3):430–435Google Scholar
  11. Guo GL, Li FC, Zhang LG (2001) The robust regression analysis of surface movement caused by full-mechanized top-coal caving mining. Bulletin of Surveying and Mapping 10:22–24Google Scholar
  12. Guo GL, Zha JF, Miao XX, Wang Q, Zhang XN (2009) Similar material and numerical simulation of strata movement laws with long wall fully mechanized gangue backfilling. Procedia Earth and Planetary Science 1(1):1089–1094, DOI: CrossRefGoogle Scholar
  13. He L, Chen Hao, Sui XZ (2014) Application of parameter-adjustment-based selecting weight iteration method in cross-section monitoring of metro works. Tunnel Construction 34(11):1036–1041, DOI: Google Scholar
  14. He GQ, Yang L, Ling GD, Jia FC, Hong D (1991) Mining subsidence science. China University of Mining and Technology Press, Xuzhou, China, 45–47Google Scholar
  15. Hu BN, Zhang HX, Shen HB (2017) Specification for coal pillars and coal mining in buildings, water bodies, railways and main shafts. China Coal Industry Publishing House, Beijing, China, 117–118Google Scholar
  16. Kratzsch H (1983) Mining subsidence engineering. Springer, Berlin, GermanyCrossRefGoogle Scholar
  17. Li JT, Lu Y, Jiao BQ (2012) Numberic simulation analysis on rock and surface deformation of coal mine. Science of Surveying and Mapping 37(2):112–114, DOI: Google Scholar
  18. Lin S, Reddish DJ, Whittaker BN (1992a) An integrated analytical model of subsidence induced by level seam extractions. Geotechnical and Geological Engineering 10(3):203–221, DOI: CrossRefGoogle Scholar
  19. Ma HL, Liu CL (2016) The linear fitting method of existing railway horizontal alignment based on iteration method with variable weights. Journal of Railway Science and Engineering 13(12):2375–2380, DOI: Google Scholar
  20. Qiu WN (2003) Method for selecting weight iteration with robust initial value. Geomatics and Information Science of Wuhan University 28(4): 452–454, DOI: Google Scholar
  21. Wang M, Zhang ZQ, Yuan B (2014) Research on thick overburden movement law under full mechanized caving. Metal Mine 454(4): 160–164Google Scholar
  22. Wang FW, Zhou SJ, Zhou Q, Lu PH (2015) Comparisons between three methods in initial residuals problem of selecting weight iteration method. Science of Surveying and Mapping 40(8):18–21, DOI: Google Scholar
  23. Whittaker BN, Reddish DJ (1989) Subsidence: Occurrence, prediction, and control. Elsevier, Amsterdam, Netherlands, DOI: Google Scholar
  24. Yuan BX, Sun M, Xiong L, Luo QZ, Pradhan SN (2019) Investigation onof 3D deformation of transparent soil around a laterally loaded pile based on a hydraulic gradient model test. Journal of Building Engineering 28:1-9, DOI: Google Scholar
  25. Zhang J, Wang JP (2014) Similar simulation and practical research on the mining overburden roof strata “three-zones” height. Journal of Mining and Safety Engineering 31(2):249–254, DOI: Google Scholar
  26. Zhao S, Wang ZJ, Wu SY, Wang Y, Liu HM, Shan R (2017) A shipboard acoustic difference positioning method based on selection weight iteration. Oil Geophysical Prospecting 52(6):1137–1145, DOI: Google Scholar

Copyright information

© Korean Society of Civil Engineers 2019

Authors and Affiliations

  • Lei Wang
    • 1
    Email author
  • Chuang Jiang
    • 1
  • Tao Wei
    • 1
  • Nan Li
    • 2
  • Shenshen Chi
    • 1
  • Jianfeng Zha
    • 3
  • Suyang Fang
    • 1
  1. 1.School of Geodesy and GeomaticsAnhui University of Science and TechnologyHuainanChina
  2. 2.Zhejiang Coal Surveying and MappingHangzhouChina
  3. 3.Jiangsu Key Laboratory of Resources and Environmental Information Engineering China University of Mining & TechnologyChina University of Mining & TechnologyXuzhou, JiangsuChina

Personalised recommendations