一种新的岩石节理面三维粗糙度分形描述方法

A new fractal description method for three-dimensional roughness surface of rock joint

研究并提出一种新的岩石节理面三维粗糙度分形描述方法。首先,基于激光扫描数据将节理表面离散成三角网,并建立与剪切方向相关的三维均方根抵抗角的计算方法。其次,运用分形数学理论,提出一种新的基于三维均方根抵抗角的节理面粗糙度分形描述方法。最后,采用新方法对天然玄武岩节理和花岗岩张拉型节理的粗糙特性进行分析。研究结果表明,提出的新方法能够较全面地反映节理面的三维几何形貌信息,并能描述节理粗糙度的各向异性特性。研究成果为进一步建立岩石节理面的三维剪切强度公式和剪切本构理论奠定了基础。

A new fractal description method for three-dimensional roughness characteristics of rock joint is proposed and researched. Firstly, based on the scanning data of joint surface morphology, the joint surface is reproduced in the discrete form of triangular nets; and then the calculation method of 3D root mean square resistance angle is established. Secondly, fractal theory is applied to propose a new fractal description method to describe 3D roughness characteristics of rock joint on the basis of 3D root mean square resistance angle. Finally, the new method is used to characterize the roughness of natural basalt joint and tensile granite joint Research results show that the new method can well reflect the 3D morphology of joint and it can also describe the anisotropy of roughness. Research results offer the foundation for further studying the shear strength and shear constitutive law of rock joints.