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Determining of the Joint Roughness Coefficient (JRC) of Rock Discontinuities Based on the Theory of Random Fields

机译：基于随机场理论的岩石间断面联合粗糙度系数（JRC）的确定

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摘要

This work intends to embed the estimation of the joint roughness coefficient (JRC) in the framework of random fields. The random field method is a probabilistic approach which involves modeling of the spatial variability of the pertinent physical quantities as a fundamental part of the (assumed) underlying probabilistic structure. Although this method is one of higher complexity in regard of the presumed background knowledge, it encodes naturally subtler information about the rock surface roughness. It is noted that, the proposed random field approach considers automatically the scale of the problem (no correction factor is needed), whilst the JRC estimates appear to be more stable (compared to those derived from Z 2 or SF) in the sense that images of the same profile but of different quality give similar results for its roughness. The present work could also be useful in advanced probabilistic rock slope stability analysis based on random fields. In such a case, the required spatial correlation length θ can be obtained by the proposed θ = 145.5 σ/JRC relationship (σ = variance of the profile). The JRC can be obtained through tilt tests, push or pull tests, or matching roughness profiles, whilst σ can be obtained from inspection of the digitized profile.
机译：这项工作旨在将联合粗糙度系数（JRC）的估计嵌入​​到随机场的框架中。随机场方法是一种概率方法，其中涉及对相关物理量的空间变异性进行建模，以作为（假定的）基础概率结构的基本部分。尽管就假定的背景知识而言，此方法是较高的复杂性之一，但它会自然地编码有关岩石表面粗糙度的信息。注意，所提出的随机场方法会自动考虑问题的规模（无需校正因子），而在图像意义上，JRC估计值似乎更稳定（与从Z 2或SF得出的估计值相比）轮廓相同但质量不同的样品，其粗糙度得到相似的结果。目前的工作对于基于随机场的高级概率岩质边坡稳定性分析也可能是有用的。在这种情况下，可以通过建议的θ= 145.5σ/ JRC关系（σ=轮廓的方差）获得所需的空间相关长度θ。 JRC可以通过倾斜测试，推拉测试或匹配的粗糙度轮廓来获得，而σ可以从数字化轮廓的检查中获得。

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