摘要
本文根据不同煤体强度条件下综放开采顶煤的位移曲线 ,采用盒维数的分形计算方法对其进行了维数分析。研究结果表明 ,不同的煤体强度条件 ,不同尺规 δ的对数值 lnδ与其覆盖的个数 N的对数值 ln N的函数特征与变化趋势非常相近 ,但不同矿区顶煤位移函数的 limδ→ 0 ln N / lnδ是不同的 ,也就是函数维数是不同的 ,并且维数与煤体强度有着一定的关系。根据这种关系 ,在已知煤体强度的条件下 ,可以得出顶煤位移的函数维数 ,根据位移量与维数的关系就可以近似推出顶煤的位移量 。
Based on the displacement curves of top coal with different strength, the fractal dimension of which is analyzed and calculated according to the box dimension. The results of the research show that, for the different strength of the top coal, the variation trend of logarithm lnδ of different box size δ to logarithm lnN of box number N is very close in the short section, but the value of limδ→0lnN/lnδ is different for the different strength of the top coal, i.e. the dimensions of the curves are different, and which are relative to the strength of the top coal. Based on this relation, the dimension of the displacement curve and the displacement value of top coal can be forecasted, and this result is important for the research of top coal displacement and the relation of support and surrounding rocks.
出处
《矿山压力与顶板管理》
北大核心
2002年第4期51-53,共3页
Ground Pressure and Strata Control
基金
国家自然科学基金重点项目资助 (5 973 40 90 )
