喀斯特洼地的分形特性研究  

FRACTAL AND GEOMETRY OF KARST DEPRESSIONS IN SOUTH CHINA

作　　者：宋林华[1] 房金福 邓自民 刘宏 

机构地区：[1]中国科学院地理研究所,国家计划委员会地理研究所,贵州山地资源所,云南省地理所

出　　处：《地理研究》1995年第1期8-16,共9页Geographical Research

基　　金：国家自然科学基金;及贵州省科学技术基金

摘　　要：以贵州高原中部普定马官地区和云南高原边缘西畴峰丛－洼地区为试验区，研究和探讨了喀斯特洼地发育过程中的分形特性。Maguan karst landforms in the central Guizhou Plateau and Xichou fengcong－depression landscape in the southeastern Yunnan Plateau were chosen as the sample regions to study the fractal and geometry of karst depressions 21 closed depressions and 3 poljes have been developed in the Maguan area of Puding county，the average area of the depressions is 0．72 km^2， the mean edge number is 7．38 and the average perimeter is 3．41 km which is similar to the length of perimeter of 7 edge depres-sions。The fractal dimension of perimeter L（δ）with area A（δ）of the depressions is 1．23 and the dimension of edge number N（δ）and perimeters L（δ）is 2． 928。64 depressions are developed in the area of 23．75 km^2 in Xichou fengcong-depression landscape；the average edge number is 8．27，the mean area is 0． 371 km^2 and the perimeter is 2．448 km. In 64 depressions，54 have been captured each other and 129 edges have drifted more or less. The fractal dimension of perimeters L（δ）with the area A（δ）is 1. 10，the dimen-sion of edge numbers N（δ)and perimeters L（δ)of karst depressions is 2．938.The fractal dimensions are existed in the evolution processes of karst depressions and the depressions have the fractal geometry.

关 键 词：喀斯特 洼地 分形维 分形几何图形 

分 类 号：P544[天文地球—构造地质学]