类椭球体放矿理论放出体表面方程的构建

Construction of Surface Equation of Release Body Based on Quasi−ellipsoid Drawing Theory

  • 摘要: 现有放矿理论在复杂放矿条件下无法准确描述散体流动特性和放出体形态,存在模型局限。基于散体移动场中移动边界上速度为零的特征,提出散体移动速度的基本构成要素和经验公式。通过任意水平垂直方向的体积通量计算,推导出理想散体的速度方程。结合达孔量的积分计算,构建放出体表面方程,并证明该方程能够准确描述散体运动场的参数变化与流动规律,符合实际放矿过程中的散体局部流动性和移动边界特性。研究成果完善了类椭球体放矿理论体系,为矿山开采中放出体形态分析以及放矿过程的优化提供了理论支持。

     

    Abstract: The existing ore drawing theory fails to accurately describe the flow characteristics of the granular and the shape of release body under complex mining conditions, and there are limitations in the model. Based on the characteristic that the velocity is zero on the moving boundaries, the basic components and empirical formula of the granular moving speed were proposed. Through the calculation of volume flux in any horizontal and vertical direction, the velocity equation of the ideal granular material is derived. Combined with the integral calculation of the amount of holes, the surface equation of the release body is constructed, and it is proved that the equation can accurately describe the parameter change and flow law of the granular motion field, which is in line with the local flow and moving boundary characteristics of the granular body in the actual ore drawing process. The research results have improved the theoretical framework of the ellipsoid−like ore discharge model, providing theoretical support for the analysis of the ore discharge body shape and the optimization of the discharge process in mining operations.

     

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