煤矿离层注浆减沉效果评价的弹性薄板法

ELASTIC-THIN-PLATE BENDING METHOD FOR EVALUATING REDUCING-SUBSIDENCE EFFECTIVENESS BY INJECTING GROUT INTO SEPARATED STRATA IN COAL MINE

  • 摘要: 基于弹性薄板弯曲理论、弹性地基理论和岩层控制的关键层理论,探讨了离层注浆减沉的力学机理,建立了采场覆岩力学模型和减沉效果的评价模型,构建了注浆前后关键层的挠曲方程,推导出关键层变形的计算公式。结合减沉系数的概念,推导出评价离层注浆减沉效果的计算公式。示例分析表明,理论计算结果与离层注浆的实际应用效果及数值模拟结果较为吻合。研究结果有助于进一步完善离层注浆减沉的理论体系。

     

    Abstract: Based on elastic-thin-plate bending theory, elastic-foundation theory and key strata theory in ground control, the mechanical mechanism of injecting grout into separated strata was discussed, and the mechanical model of the overlying strata and the evaluation model for the reducing-subsidence effectiveness by injecting grout into separated strata were established. A formula to calculate the deformation of key strata was derived from their flexing equations pre and post grouting. Combined with the concept of reducing-subsidence coefficient, a formula to evaluate the reducing-subsidence effectiveness by injecting grout into separated strata was obtained. The example shows that the theoretical result agrees well with practical observations and numerical simulations of injecting grout into separated strata.

     

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