China Safety Science Journal ›› 2026, Vol. 36 ›› Issue (5): 18-26.doi: 10.16265/j.cnki.issn1003-3033.2026.05.0204

• Safety Technology and Engineering • Previous Articles     Next Articles

Parameter solution of probability integral method under condition of thick loose layer based on SAA-GRNN optimization model

Zhang Jianguo1,2,3(), Wang Wenchang1,**(), Ren Lianwei4, Zou Youfeng5, Dun Zhilin4   

  1. 1 College of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo Henan 454003, China
    2 State Key Laboratory of Coking Coal Resources Green Exploitation, Pingdingshan Henan 467002, China
    3 China Pingmei Shenma Holding Group Co., Ltd., Pingdingshan Henan 467002, China
    4 School of Civil Engineering, Henan Polytechnic University, Jiaozuo Henan 454003, China
    5 School of Surveying and Land Information Engineering, Henan Polytechnic University, Jiaozuo Henan 454003, China
  • Received:2026-01-11 Revised:2026-03-13 Online:2026-05-28 Published:2026-11-28
  • Contact: Wang Wenchang

Abstract:

To address the problems of low accuracy and insufficient adaptability in existing methods for determining the parameters of PIM for predicting surface deformation prediction in goaf areas under thick unconsolidated layers, 36 sets of measured surface movement data from coal mining working faces were selected. The core indicators of mining-geological conditions were screened via Hierarchical Cluster Analysis (HCA), Entropy Weight Method(EWM) and Grey Relational Degree (GRD) analysis. Furthermore, the GRNN model was optimized by integrating K-fold cross-validation with the neighborhood perturbation strategy of SAA, and an SAA-GRNN optimization model was constructed for PIM parameter determination. A case study was conducted using 45 sets of data from coal mining working faces with thick unconsolidated layers in the Jining area. The results show that: seven mining-geological condition indicators can be classified into three categories, and five core input indicators were identified screening, namely mining thickness M, coal seam dip angle α, mining depth H, strike mining degree D3/H, and unconsolidated layer thickness h. The maximum root-mean-squared error (RMSE) of SAA-GRNN model is no more than 0.190 4, the maximum mean absolute error (MAE) is controlled within 0.133 9, the maximum mean absolute percentage error (MAPE) is 0.153 6, and the overall coefficient of determination (R2) is generally above 0.8. Under the same conditions, the prediction errors are greatly reduced compared with those obtained using Back Propagation (BP) neural network and the conventional GRNN model.

Key words: simulated annealing algorithm (SAA), generalized regression neural network (GRNN), thick unconsolidated layer, probability integral method (PIM), parameter solution

CLC Number: