Abstract:
The theoretical calculation of the height development of water conducting fracture zones under fully mechanized top coal caving conditions is crucial for the prevention and control of water hazard in coal mine roofs. With the advancement of thick top coal caving technology, existed empirical formulas cannot fully meet the prediction of water conducting fracture zone height in thick and extra-thick coal layers. Based on the measured values of the height of water conducting fracture zones in 185 sets of thick and extra-thick coal seams in China, according to the lithology of the overlying rock, the data is divided into three categories: hard, medium hard, and weak. Four mathematical models, including guideline-like formula, linear regression, quadratic regression, and DoseResp function, are used to fit and analyze the data. The model reliability is analyzed using the goodness of fit
R2. Under hard overburden conditions, the goodness-of-fit is DoseResp model > quadratic regression model=linear regression model > guideline-like model. Under medium hard and weak overburden conditions, the performance of the goodness-of-fit is DoseResp model > quadratic regression model > linear regression model > guideline-like model. Furthermore, the mean absolute percentage error (MAPE) method is adopted to compare the reliability of the newly fitted formulas with those specified in the
Guidelines for Coal Pillar Layout and Mining Under Buildings.
Water Bodies,
Railways and Main Shafts/Tunnels (hereinafter referred to as the
Guidelines). For hard overburden, the accuracy of the four new fitted formulas was higher than that of the existing formulas in the
Guidelines; for medium hard overburden conditions, the accuracy of the four new fitted formulas was better than that of the existing formulas in the
Guidelines, and the DoseResp model performed the best. For weak overburden conditions, the guideline-like formulas and the DoseResp model are better than the existing formulas in the
Guidelines. Applying the newly fitted formulas to specific mines, the DoseResp function has good applicability in predicting the height development of water conducting fracture zones in thick and extra-thick different overburden rocks (hard, medium hard and weak), followed by the guideline-like model, and both predictions are better than the formulas in the
Guidelines.