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基于体积估算岩石断面分维的算法研究

薛东杰 周宏伟 赵天 丁靖洋 李潮

岩土工程学报2012,Vol.34Issue(7):1256-1261,6.
岩土工程学报2012,Vol.34Issue(7):1256-1261,6.

基于体积估算岩石断面分维的算法研究

Algorithm of fractal dimension of rock fracture surface based on volume estimation

薛东杰 1周宏伟 1赵天 2丁靖洋 2李潮2

作者信息

  • 1. 中国矿业大学(北京)煤炭资源与安全开采国家重点实验室,北京100083
  • 2. 中国矿业大学(北京)力学与建筑工程学院,北京100083
  • 折叠

摘要

Abstract

For calculating the fractal dimension of rock fracture rough surface, the prism-like or 3-side parallel bodies may be generated by connecting the data points on the fracture surface in order to take full account of laser scanning-based elevation data of the surface. A volume covering method is proposed for estimation of the fractal dimension of rough surface according to the definition of Minkowski dimension. Compared with the traditional cubic covering method, the volume covering method can be employed to directly calculate the volume of covering body and to estimate the fractal dimension without correction point of laser scanning data so as to avoid the differences caused by different coordinate systems. Furthermore, by comparing the two different types of parallel body covering methods for the same rough surface, all the volume covering methods have high accuracy in calculating the fractal dimension and have strong applicability overcoming the uniform shape requirements of the covering cells (all cubes or all cylinders).

关键词

类棱柱平行体/3面平行体/立方体覆盖法/体积覆盖法

Key words

prism-like parallel body/3-side parallel body/cubic covering method/volume covering method

分类

建筑与水利

引用本文复制引用

薛东杰,周宏伟,赵天,丁靖洋,李潮..基于体积估算岩石断面分维的算法研究[J].岩土工程学报,2012,34(7):1256-1261,6.

基金项目

国家自然科学基金项目 ()

国家973项目 ()

科技部国际科技合作项目 ()

岩土工程学报

OA北大核心CSCDCSTPCD

1000-4548

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