journal article·2023-07-10Open access

Dynamic Prediction Model for Progressive Surface Subsidence Based on MMF Time Function

Bang Zhou, Yueguan Yan, Jianrong Kang

Applied Sciences· Volume 13· Issue 14

Abstract

It is imperative to timely and accurately predict the progressive surface subsidence caused by coal mining in the context of precision coal mining. However, the existing dynamic prediction methods that use time functions still have limitations, especially in the description of the moments of initiation and maximum subsidence velocity, which hinder their wide application. In this study, we proposed the MMF (Morgan–Mercer–Flodin) time function for predicting progressive surface subsidence based on the model assumptions and formula derivations. MMF time function can resolve the limitations in the description of the moments of initiation and maximum subsidence velocity perfectly. Afterward, we established the dynamic prediction model by combining the probability integral method with the MMF time function. Finally, using the measured subsidence data of working panel 22101 as an example, the accuracy and reliability of the dynamic prediction model was verified. The average RMSE and average relative RMSE (RRMSE) of prediction progressive subsidence using MMF time function are 46.65 mm and 4.63%, respectively. The accuracy is optimal compared with other time functions (for the average RMSE, Logistic time function is 80.57 mm, Gompertz time function is 79.77 mm, and Weibull time function is 90.61 mm; for the average RRMSE, Logistic time function is 7.66%, Gompertz time function is 7.73%, and Weibull time function is 8.62%). The results show that the method proposed in this paper can fully meet the requirements of practical engineering applications, achieve accurate dynamic prediction during the coal mining process, and provide good guidance for surface deformation and building protection.
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Research context

OpenAlex topics: Synthetic Aperture Radar (SAR) Applications and Techniques · Rock Mechanics and Modeling · Geotechnical and Mining Engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Geoscience and Surveying Engineering, China University of Mining & Technology, Beijing 100083, China

School of Geography, Geomatics and Planning, Jiangsu Normal University, Xuzhou 221116, China

Funding

National Natural Science Foundation of China · Fundamental Research Funds for the Central Universities

References (44)

Show source-provided references
1. A leaning historical monument formed by underground mining effect: An example from Czech Republic10.1016/j.enggeo.2012.02.011 ↗
2. Negative externalities of high-intensity mining and disaster prevention technology in China10.1007/s10064-019-01468-4 ↗
3. Subsidence versus natural landslides when dealing with property damage liabilities in underground coal mines10.1016/j.ijrmms.2019.104175 ↗
4. Deng, K., Tan, Z., Jiang, Y., Dai, H., and Xu, L. (2014). Deformation Monitoring and Mining Subsidence Engineering, China University of Mining and Technology Press.
5. Evaluation of ground movement and damage to structures from Chinese coal mining using a new GIS coupling model10.1016/j.ijrmms.2011.01.004 ↗
6. Model for calculating the parameter of the Knothe time function based on angle of full subsidence10.1016/j.ijrmms.2015.04.022 ↗
7. Peng, S. (2020). Surface Subsidence Engineering: Theory and Practice, CSIRO Publishing.10.1071/9781486312559 ↗
8. Quantitative and dynamic predictive model for mining-induced movement and deformation of overlying strata10.1016/j.enggeo.2022.106876 ↗
9. Yang, Z., Li, Z., Zhu, J., Yi, H., Hu, J., and Feng, G. (2017). Deriving Dynamic Subsidence of Coal Mining Areas Using InSAR and Logistic Model. Remote Sens., 9.10.3390/rs9020125 ↗
10. Prediction of Mining-Induced Kinematic 3-D Displacements from InSAR Using a Weibull Model and a Kalman Filter
11. Scientific conception of precision coal mining
12. Prediction of progressive surface subsidence above longwall coal mining using a time function10.1016/S1365-1609(01)00061-2 ↗
13. Prediction of surface progressive subsidence and optimization of predicting model parameters based on the Logistic time function
14. Hu, Q., Cui, X., Liu, W., Feng, R., Ma, T., and Yuan, D. (2022). Knothe Time Function Optimization Model and Its Parameter Calculation Method and Precision Analysis. Minerals, 12.10.3390/min12060745 ↗
15. Development of a new inversion method for detecting spatiotemporal characteristics of coal mines based on earth observation technology
16. Zhou, B., Yan, Y., Dai, H., Kang, J., Xie, X., and Pei, Z. (2022). Mining Subsidence Prediction Model and Parameters Inversion in Mountainous Areas. Sustainability, 14.10.3390/su14159445 ↗
17. Discussion on the time function of time dependent surface movement
18. Knothe, S. (1952). Time Influence on a Formation of a Subsidence Surface, Archiwum Gornictwa i Hutnictwa. (In Polish).
19. Zhang, L., Cheng, H., Yao, Z., and Wang, X. (2020). Application of the improved Knothe time function model in the prediction of ground mining subsidence: A case study from Heze city, Shandong province, China. Appl. Sci., 10.10.3390/app10093147 ↗
20. Subsidence development with time-experiences from longwall operations in the Appalachian coalfield10.1007/BF01554045 ↗
21. The influence of time on subsidence in the Central Asturian Coalfield10.1007/s10064-007-0085-2 ↗
22. A new model for predicting surface mining subsidence: The improved lognormal function model10.1007/s12303-018-0008-1 ↗
23. Study on time function of surface subsidence-The improved Knothe time function
24. Liu, Y., Cao, S., and Liu, Y. (2009). The improved Knothe time function for surface subsidence. Sci. Surv. Mapp., 34.
25. Zhang, B., and Cui, X. (2017). Optimization of segmented Knothe time function model for dynamic prediction of mining subsidence. Rock Soil Mech., 38.
26. Research on Logistic model in forecasting subsidence single-point during mining
27. A study on prediction of embankment settlement with the Gompertz model
28. Prediction of longwall progressive subsidence basin using the Gompertz time function10.1007/s00603-021-02664-z ↗
29. Discussion on some time functions for describing dynamic course of surface subsidence due to mining
30. A new model for forecasting of land surface subsidence caused by underground extraction of deposits10.1007/s13762-022-04225-5 ↗
31. Modeling of time dependent subsidence for coal and ore deposits10.1007/s40789-015-0092-z ↗
32. Des Gesetz des Minimums und das Gesetz des abnehmended Bodenertrages (in German)
33. Effect of time on formation of basin subsidence
34. Parameter calculation method for optimized segmented Knothe time function
35. Rošer, J., Potočnik, D., and Vulić, M. (2018). Analysis of dynamic surface subsidence at the underground coal mining site in Velenje, Slovenia through modified sigmoidal function. Minerals, 8.10.3390/min8020074 ↗
36. Richards model of surface dynamic subsidence predictioni in mining area
37. Research on prediction model of surface dynamic subsidence of mined-out region based on Usher time function
38. Li, C., Ding, L., Cui, X., Zhao, Y., He, Y., Zhang, W., and Bai, Z. (2022). Calculation model for progressive residual surface subsidence above mined-out areas based on Logistic time function. Energies, 15.10.3390/en15145024 ↗
39. Xi, G., Hong, X., and Shao, H. (2013). Application of improved Logistic function model to prediction of surface subsidence. Coal Sci. Technol., 41.
40. Pater, L., and Cociu, N. (2015). Adjustment of Time-Series Using the Modified Exponential for Turnover Forecast, AIP Publishing LLC.10.1063/1.4912900 ↗
41. Predicting mining-induced dynamic deformations for drilling solution rock salt mine based on probability integral method and weibull temporal function10.1080/01431161.2020.1813345 ↗
42. Dynamic surface subsidence prediction model based on Bertalanffy time function
43. General model for nutritional responses of higher organisms10.1073/pnas.72.11.4327 ↗
44. A programme of mining subsidence dynamic prediction and its application