综放开采条件下厚及特厚煤层导水裂隙带发育高度计算研究

    Height calculation of water conducted fracture zone in thick and extra-thick coal seams under the conditions of fully mechanized top coal caving mining

    • 摘要: 综放开采条件下导水裂隙带高度发育规律的计算对于煤矿顶板水害防治至关重要。随着大采高放顶煤技术的推广应用,现有经验公式在厚及特厚煤层导水裂隙带高度预测方面存在局限。为此,基于国内185组厚及特厚煤层的导水裂隙带高度实测数据,依据覆岩岩性将数据划分为坚硬、中硬、软弱3类。采用类指南法、一元一次回归、一元二次回归及DoseResp函数4种数学模型进行拟合分析,并利用拟合优度(R2)评估模型可靠性。结果表明:在坚硬覆岩条件下,模型拟合优度排序为DoseResp模型 > 一元二次模型 = 一元一次模型 > 类指南模型;在中硬和软弱覆岩条件下,拟合优度排序均为DoseResp模型 > 一元二次模型 > 一元一次模型 > 类指南模型。进一步采用平均百分比误差(MAPE)法将新拟合公式与《建筑物、水体、铁路及主要井巷煤柱留设与压煤开采指南》(以下简称《指南》)公式进行可靠性对比。对于坚硬覆岩,4种新公式的预测精度均高于《指南》公式;对于中硬覆岩,4种新公式精度亦优于《指南》公式,其中DoseResp模型表现最佳;对于软弱覆岩,类指南公式与DoseResp模型精度优于《指南》公式。工程应用验证表明,DoseResp函数模型对不同覆岩类型(坚硬、中硬、软弱)的厚及特厚煤层导水裂隙带高度预测具有良好的适用性,类指南模型次之,二者预测效果均显著优于《指南》公式。

       

      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.

       

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