The variogram method is used to investigate the effect of non-stationarity, heterogeneity, scale-related parameters and anisotropy on roughness quantification of a natural rock joint of size 1 m × 1 m. The methodology quantifies two parameters to capture the stationary roughness. The effect of the non-stationarity of the used profiles was found to be negligible on the computed fractal parameters. Calculated fractal parameter values reflected significant heterogeneity on one part of the roughness surface compared to the rest of the surface studied in the paper. Effect of joint size was found to be negligible on the calculated fractal parameter values. The authors believe that the controversial findings appear in the literature on scale effects have resulted from roughness heterogeneity, which has not been investigated in detail in the literature in quantifying roughness. Rock discontinuity surface showed major anisotropy with respect to roughness. Roughness in the direction along the axis of ridges and troughs (X-direction) of the joint surface was found to be significantly less compared to that in the direction perpendicular to the direction of axis of ridges and troughs. Thus, it agreed with the intuition that the discontinuity resulted from a shear fracture with the main shearing direction approximately parallel to the X direction.

变差函数方法用于研究非平稳性、非均质性、尺度相关参数和各向异性对 1 m × 1 m 天然岩石节理粗糙度量化的影响。该方法量化了两个参数以捕获静态粗糙度。发现所用剖面的非平稳性对计算的分形参数的影响可以忽略不计。与论文中研究的表面的其余部分相比，计算出的分形参数值反映了粗糙表面一部分的显着异质性。发现接头尺寸对计算的分形参数值的影响可以忽略不计。作者认为，有关尺度效应的文献中出现的有争议的发现是由粗糙度异质性引起的，在量化粗糙度的文献中尚未对此进行详细研究。岩石间断面在粗糙度方面表现出主要的各向异性。与垂直于脊和槽轴方向的方向相比，沿结合面脊和槽轴方向（X方向）的粗糙度显着降低。因此，它与直觉一致，即不连续性是由主剪切方向近似平行于 X 方向的剪切断裂引起的。与垂直于脊和槽轴方向的方向相比，沿结合面脊和槽轴方向（X方向）的粗糙度显着降低。因此，它与直觉一致，即不连续性是由主剪切方向近似平行于 X 方向的剪切断裂引起的。与垂直于脊和槽轴方向的方向相比，沿结合面脊和槽轴方向（X方向）的粗糙度显着降低。因此，它与直觉一致，即不连续性是由主剪切方向近似平行于 X 方向的剪切断裂引起的。