地质现象分形统计学研究的若干问题

摘 要 要发展分形理论在地质科学中的应用?就必须加强对地质现象分形统计学的研究。 文中对地质现象分形统计学的概念、意义、内容、方法和一般步骤作一概略论述。同时?对 分形概念的拓广、分维求法及意义、幂律问题、分数布朗运动、方位 分维估值法等问题也作 了初步的探讨。

SOME PROBLEMS ON THE STUDY OF THE FRACTAL STATISTICS FOR GEOLOGICAL PHENOMENA

The authors indicate that it is necessary to enhance the study of the fractal statistics for geological phenomena in order to develop the application of fractal theories in geological sciences. This paper briefly introduces the concept, significant, content, methods and general steps of the fractal statistics for geological phenomena. It also discusses the problems, such as the generalization of the fractal concept, the calculation and significant of the fractal dimension, the power laws, the fractional Brownian motion and the direction fractal dimension estimating method.