岩体结构面粗糙度的分形计算
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摘要
论文将分形几何理论运用到岩体结构面粗糙度的描述中,指出了以往粗糙度分形计算的不足:只是对某条曲线的分形计算,不能完全反映整个粗糙表面的几何形态。针对该问题,用一种能测量表面三维几何形状的测量仪,测得试样的表面形态,并引用立方体覆盖法,对试样结构面的表面形态进行了分形计算,所计算的分维数能反映整个结构面表面的粗糙情况。
This paper applies fractal geometry theory in the description of roughness of rock structural surface and points out the deficiency in traditional fractal calculation of roughness,which is only for some curve and cannot completely reflect the geometric shape of the whole rough surface.To this problem,it measures sample surface configuration with a measuring meter that can measure 3D geometric shape and carries out fractal calculation for sample surface configuration with solid coverage method.The calculated fractal dimension can reflect the roughness of the whole structural surface.
This paper applies fractal geometry theory in the description of roughness of rock structural surface and points out the deficiency in traditional fractal calculation of roughness,which is only for some curve and cannot completely reflect the geometric shape of the whole rough surface.To this problem,it measures sample surface configuration with a measuring meter that can measure 3D geometric shape and carries out fractal calculation for sample surface configuration with solid coverage method.The calculated fractal dimension can reflect the roughness of the whole structural surface.
引文
[1]杜时贵.岩体结构面的工程性质[M].北京:地震出版社,1999.
[2]Mandelbrot B B.The Fractal Geometry of Nature[M].NewYork:FreemanW H,1982.
[3]陈颙,陈凌.分形几何学[M].北京:地震出版社,1998.
[4]谢和平.岩石节理的分形描述[J].岩土工程学报,1995,1(1):18-23.
[5]徐志斌,谢和平.估算岩石断裂面粗糙度的一种分形模型[J].煤田地质与勘探,1998,26(1):10-12.
[6]李庆松,杜守继.岩石节理表面三维粗糙特性参数的定量研究[C].中国岩石力学与工程学会第七次学术大会论文集,2002:91-93.
[7]Xie HP,Wang J A,Stein E.Direct fractal measurement and multifractalproperties of fracture surface[J].Physics Letters A,1998,A242:41-50.
[8]Zhou HW,Xie H.Direct estimation of the fractal dimensions of a fracturesurface of rock[J].Surface Review and Letters,2003,10(5):751-762.
[9]张亚衡,周宏伟,等.粗糙表面分形维数估算的改进立方体覆盖法[J].岩石力学与工程学报,2005,24(17):3192-3196.
[10]刘新荣,鲜学福,等.岩性特征对岩体力学性质的影响[J].江西有色金属,2001,2(15):11-14.
[2]Mandelbrot B B.The Fractal Geometry of Nature[M].NewYork:FreemanW H,1982.
[3]陈颙,陈凌.分形几何学[M].北京:地震出版社,1998.
[4]谢和平.岩石节理的分形描述[J].岩土工程学报,1995,1(1):18-23.
[5]徐志斌,谢和平.估算岩石断裂面粗糙度的一种分形模型[J].煤田地质与勘探,1998,26(1):10-12.
[6]李庆松,杜守继.岩石节理表面三维粗糙特性参数的定量研究[C].中国岩石力学与工程学会第七次学术大会论文集,2002:91-93.
[7]Xie HP,Wang J A,Stein E.Direct fractal measurement and multifractalproperties of fracture surface[J].Physics Letters A,1998,A242:41-50.
[8]Zhou HW,Xie H.Direct estimation of the fractal dimensions of a fracturesurface of rock[J].Surface Review and Letters,2003,10(5):751-762.
[9]张亚衡,周宏伟,等.粗糙表面分形维数估算的改进立方体覆盖法[J].岩石力学与工程学报,2005,24(17):3192-3196.
[10]刘新荣,鲜学福,等.岩性特征对岩体力学性质的影响[J].江西有色金属,2001,2(15):11-14.
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