分形理论及地层岩石抗钻特性参数的分形表示方法
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摘要
介绍了分形、分维的基本概念及四种分维数的确定方法,探讨了分形几何在岩石破碎方面的研究成果,说明分形几何能很好地描述岩石破碎过程的不规则性和不确定性,指出分形维数是岩石微观结构、空隙结构、粉碎方式的综合反映。在室内实验基础上,确定了岩石破碎后的块度分布函数,计算了岩石破碎的分形维数,指出岩屑的分形维数与地层的抗钻特性参数(强度、硬度、可钻性等)有内在的联系,并对分形维数在地层可钻性预测中的应用进行了初步讨论。
The basic conception of fractal and fractal dimension is introduced, and the methods for determining four kinds of values of fractal dimensions are defined. Abnormity of rock - crashing can be described by fractal geometry. Intensity, rigidity, drillability of rock and micro- structure, pore structure, crashing manner of rock are related to fractal dimension. Broken fragment distribution function is determined based on laboratory experiment. Broken fractal dimension of rock is calculated. There is inherent relation between rock rigidity, intensity, drillability and rock fractal dimension. Furthermore, the applications of fractal dimension in rock drillability Forecasting is discussed.
The basic conception of fractal and fractal dimension is introduced, and the methods for determining four kinds of values of fractal dimensions are defined. Abnormity of rock - crashing can be described by fractal geometry. Intensity, rigidity, drillability of rock and micro- structure, pore structure, crashing manner of rock are related to fractal dimension. Broken fragment distribution function is determined based on laboratory experiment. Broken fractal dimension of rock is calculated. There is inherent relation between rock rigidity, intensity, drillability and rock fractal dimension. Furthermore, the applications of fractal dimension in rock drillability Forecasting is discussed.
引文
[1]Mandelbrot Benoit B.Thefractal geometry of nature.W.H.Freeman,San Franciso,1982.
[2]高安秀树,著.沈步明,译.分维数[M].北京:地震出版社,1989.
[3]谢和平,高峰.岩石类材料损伤演化的分形特征[J].岩石力学与工程学报,1991,10(1):60-70.
[2]高安秀树,著.沈步明,译.分维数[M].北京:地震出版社,1989.
[3]谢和平,高峰.岩石类材料损伤演化的分形特征[J].岩石力学与工程学报,1991,10(1):60-70.
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