仇培涛, 殷惠光, 张连英. 基于分数阶理论的充填开采覆岩流变规律研究[J]. 煤矿安全, 2016, 47(12): 49-52.
    引用本文: 仇培涛, 殷惠光, 张连英. 基于分数阶理论的充填开采覆岩流变规律研究[J]. 煤矿安全, 2016, 47(12): 49-52.
    QIU Peitao, YIN Huiguang, ZHANG Lianying. Research on Overlying Rock Creep Laws of Solid Filling Mining Based on Fractional Theory[J]. Safety in Coal Mines, 2016, 47(12): 49-52.
    Citation: QIU Peitao, YIN Huiguang, ZHANG Lianying. Research on Overlying Rock Creep Laws of Solid Filling Mining Based on Fractional Theory[J]. Safety in Coal Mines, 2016, 47(12): 49-52.

    基于分数阶理论的充填开采覆岩流变规律研究

    Research on Overlying Rock Creep Laws of Solid Filling Mining Based on Fractional Theory

    • 摘要: 为研究充填开采后地表沉陷规律,建立了分数阶蠕变-渗流耦合数学模型,通过COMSOL多物理场数值仿真软件进行求解,并与经典蠕变-渗流模型及现场实测数据进行对比分析。结果表明:随着时间增大,经典蠕变-渗流耦合模型计算结果与现场实测数据的误差增大,而分数阶蠕变-渗流耦合模型的计算结果更接近现场实测数据。

       

      Abstract: In order to study the laws of surface subsidence after filling, we establish a mathematical model about fractional order creep and seepage. This model is solved by multi-physics numerical simulation software COMSOL and compared with classical creep-seepage model and field data. The calculation results show that the classical seepage coupling model has big difference with actual measured data with the increase of time, while the results calculated by fractional model are more close to the actual measured data.

       

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