| 谭春,陈剑平,阙金声,张文.基于三维裂隙网络模拟和灰色理论的岩体表征单元体研究[J].水利学报,2012,43(6): |
| 基于三维裂隙网络模拟和灰色理论的岩体表征单元体研究 |
| Analysis of representative elementary volume for rock mass based on 3D fracture numerical network model and grey system theory |
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| DOI： |
| 中文关键词: REV 三维裂隙网络模型 灰色理论 关联度 |
| 英文关键词: REV 3D fracture numerical network model Grey system theory Grey relational degree |
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| 摘要点击次数: 2389 |
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| 中文摘要: |
| 在三维网络模型和灰色理论的基础上建立了确定岩体表征单元体（Representative elementary volume）的新方法。该方法在全面考虑岩体基本特征的同时，用灰色理论中的灰关联分析方法确定REV 的大小。在三维网络模型中将裂隙按照其走向和倾角投影到极点图上，并将极点图遵循等面积原则划分成24份，统计出每一区块上的极点数量和该区块含有裂隙的平均直径，作为灰关联分析的参考序列。再用边长为r 的立方体来分割网络模型，统计出该立方体投影到24份极点图中每一区块的极点数量和含有裂隙的平均直径，这作为比较序列。通过改变立方体边长r 的大小，得出对应的比较序列。对参考序列和比较序列进行灰关联分析，随着立方体边长的增加，关联度值趋于稳定，稳定时的立方体的边长即为岩体REV 的尺寸大小。在实际工程应用中得出REV 的尺寸是裂隙平均迹长3倍以上的结论。 |
| 英文摘要: |
| In this paper，a new method based on 3D fracture numerical network modeling and the grey system theory was built to determine the representative elementary volume （REV） of rock mass. The fracture features， such as diameter， strike and dip angle， were also comprehensively taken into account. The 3D fracture numerical network was modeled， and then the fractures of the network were projected according to their strikes and dip angles on pole diagram which was divided into 24 regions with the same area. Consequently，the numbers and the average diameter of fractures in each region were considered and regarded as the basis of reference sequence of gray analysis. Then， the model was divided by a cube in a certain size in which the numbers and the average diameters of each region were considered as the comparative sequence of gray analysis. By changing the size of the cube， a series of comparative sequence could be obtained. Grey relational analysis between the reference sequence and each comparative sequence shows that a stable and constant value of grey relational degree could be obtained. When the size of cube was increased to a certain value， the grey relational degree kept unchangeable. This value was considered to be the REV. In practice the REV size was 3 times larger than the average fracture diameter. |
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