用半自动图象分析系统测定了矿岩粉碎后颗粒的周边分形结构,得到粉碎后颗粒表面的分维数在2.033—2.110范围,其分维数随粒度减小而有所增大。按粉碎能耗增量正比?颗粒分形结构的表面积增量原理,得到和Hukki粉碎能耗表达式相同的结果,后者是概括了Rittinger,Kick和Bond三大粉碎能耗学说的共同表达式。
Semi-automatic image analysis system is used for fractal dimensionmeasurement of the outline of a rock or ore particle in comminution. The experimental datashow that the fractal dimension of particle surface is in the range of 2.033--2.110, which isslightly higher with finer in particle size. Therefore, according to the theory that energy incomminution is proportional to the fractal surface area of particle, the formula which is sameas Hukki's empirical equation is obtained and is stated as general form of three expressionsbased on the Kick's, Rittinger's and Bond's theory.
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