采空区垮落岩体空隙储水分形计算及应用研究

为了计算采空区垮落岩体空隙储水量,引入分形理论对陕北榆神府煤田采空区垮落岩体储水空隙相关参数展开研究。基于采空区垮落岩体空隙分形维数测定数据,选用Menger海绵分形模型建立采空区垮落岩体空隙结构模型,推导采空区垮落岩体空隙率和残余碎胀系数公式,计算采空区垮落岩体空隙储水量,并以神南矿区某矿32301面为工程背景进行现场应用研究。研究结果表明:采空区垮落岩体空隙分形维数为2.93,储水性能良好。分形计算最大储水量为3 848 231.93 m3,与采空区垮落岩体空隙实际储水量较为一致。利用分形方法计算采空区垮落岩体空隙储水量是可行的,对于干旱–半干旱矿区有效利用有限水资源具有重要的现实意义。

RESEARCH ON FRACTAL CALCULATION AND APPLICATION OF WATER STORAGE IN VOID OF CAVING ROCK IN THE GOAF

In order to calculate the storage capacity in void ofcaving rock in the goaf，the fractal theory was introduced to research the related parameters of storage void in the goaf of Yushenfu coalfields in North Shanxi. Based on the measurement data of fractal dimension from caving rock void in the goaf，the model for void structure of caving rock in the goaf was set up by Menger sponge fractal model. The void ratio and residual expandition coefficient formulas of caving rock in the goaf were deduced，then the storage capacity in void of caving rock in the goaf was calculated. The 32301working face in Shennan coal field was taken as engineer background to study the fractal calculation and application of water storage in void of caving rock in the goaf. The results showed that：the fractal dimension of caving rock void in the goaf was 2.93，the storage performance was good. And the largest storage capacity was 3848231.93m3 calculated by fractal method，it was consistent with the actual storage capacity in the field. Using fractal method to calculate the storage capacity of void of caving rock in the goaf was feasible，it has important practical significance for using limited water resources effectively in arid and semi-arid mining areas.