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

基于体积估算岩石断面分维的算法研究 English Version

(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)

基金项目: 国家自然科学基金项目（11172318）；国家973项目（2009CB724602）；科技部国际科技合作项目（2010DFA14640）

详细信息

作者简介:
薛东杰(1986– )，男，山东微山人，博士，主要从事煤与瓦斯共采及岩土工程等方面的研究。E-mail: xuedongjie@163.com。

中图分类号: TU443
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出版历程
- 收稿日期: 2011-08-09
- 发布日期: 2012-07-24

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

(1. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing 100083, China; 2. School of Mechanics, Architecture and Civil Engineering, China University of Mining and Technology, Beijing 100083, China)

摘要

摘要: 在计算岩石断裂粗糙表面分维时，为充分考虑利用基于激光扫描的断面高程数据，通过将各数据点连接构成类棱柱平行体或3面平行体直接覆盖粗糙断裂面，根据盒维数直接定义，提出体积覆盖算法。与传统的立方体覆盖法相比，体积覆盖法可以直接利用无须修正激光扫描点数据，避免立方体覆盖法坐标系位置差异导致的计算分维值差异，通过直接计算覆盖平行体体积估算岩石断面分维。进一步比较两类不同的平行体覆盖方法，针对同一粗糙表面，体积覆盖法计算的岩石断面分维均具有较高的精度，很好地克服了其他覆盖法中对覆盖格子形状（全部立方体或全部圆柱体）的统一要求，具有很强的适用性。
- 类棱柱平行体 /
- 3面平行体 /
- 立方体覆盖法 /
- 体积覆盖法
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).
- prism-like parallel body /
- 3-side parallel body /
- cubic covering method /
- volume covering method

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参考文献(15)

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基于体积估算岩石断面分维的算法研究 English Version

作者简介: 薛东杰(1986– )，男，山东微山人，博士，主要从事煤与瓦斯共采及岩土工程等方面的研究。E-mail: xuedongjie@163.com。

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出版历程

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

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出版历程

目录

作者简介:
薛东杰(1986– )，男，山东微山人，博士，主要从事煤与瓦斯共采及岩土工程等方面的研究。E-mail: xuedongjie@163.com。