基于塑性变形的煤体损伤本构关系及渗透率模型研究

Plastic deformation-based constitutive relation of coal damage and permeability model

  • 摘要: 开采扰动诱发的煤与瓦斯突出是煤矿生产过程中的主要瓦斯动力灾害之一。为系统探索开采扰动下煤体损伤演化特征和瓦斯渗流规律,拟开展不同瓦斯压力下全应力应变–渗流实验。通过考虑气体吸附和热膨胀效应修正广义胡克定律,建立基于塑性变形的煤体损伤本构关系,进一步构建考虑损伤的分段渗透率模型。结果表明:以渗透率突变点为界,可将煤体渗透率分为峰前和峰后2个变化阶段。其中,峰前呈指数型降低,而峰后急剧增加,峰值抗压强度和弹性模量均随着瓦斯压力升高而降低;煤体轴向塑性应变和损伤演化规律具有良好的一致性,二者均呈现出峰前变化不大,峰后激增的变化趋势;利用不同瓦斯压力和50℃实验数据对所建的损伤模型及渗透率模型进行验证,得到理论曲线和实验数据具有较好的吻合度,表明新建模型可较好地反映不同条件下煤体破坏失稳过程中的损伤演化规律和瓦斯渗流特征。

     

    Abstract: Coal and gas outburst induced by mining disturbance is one of the main gas dynamic disasters in coal mine production. In order to systematically explore the evolution characteristics of coal damage and the law of gas seepage under mining disturbance, the whole stress strain–seepage experiment under different gas pressures was carried out. The generalized Hooke's law was modified by considering the effects of gas adsorption and thermal expansion, the plastic deformation-based constitutive relation of coal damage was established, and the piecewise permeability model considering the damage was further constructed. The results shown that the coal permeability can be divided into two stages: before and after the peak, taking the sudden change point of permeability as the boundary. The permeability decreases exponentially before the peak and increases sharply after the peak, and the peak compressive strength and elastic modulus decrease with the increase of gas pressure. The evolution law of axial plastic strain and damage of coal has good consistency, and both of them show a trend of little change before the peak and rapid increase after the peak. The damage model and permeability model were verified by using the experiment data under different gas pressures and 50℃, and the theoretical curves were in good agreement with the experiment data, which shows that the new model can better reflect the damage evolution law and gas seepage characteristics in the process of coal damage and the instability under different conditions.

     

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