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分形几何用于定量描述复杂的自然现象和不规则物体已有许多成功的范例，如岩石断裂表面粗糙度的测量。然而，岩石断裂表面粗糙度一般不具有自相似分形性质。因此，表面分形测量结果受尺度的影响。通过对不同试件长度、测量尺规和测量仪器分辩率的实际测量结果，分析了岩石断裂表面分形测量中的尺度效应，提出了可靠的分形测量的途径。
Fractal geometry There have been many successful examples of quantitatively describing complex natural phenomena and irregular objects, such as the measurement of rock fracture surface roughness. However, rock fracture surface roughness generally does not have self-similar fractal properties. Therefore, the surface fractal measurement results are affected by the scale. Through the actual measurement results of different specimen length, measuring rule and resolution of measuring instrument, the scale effect in fractal measurement of rock fracture surface is analyzed and a reliable approach of fractal measurement is proposed.