Description and classification of rock surfaces by means of laser profilometry and mathematical morphology

The evaluation of surface roughness is crucial to the hydrochemical and mechanical description of fractured rock masses. Surface roughness contains information on rock strength, deformability, permeability, etc. Recent years have witnessed a rapid development of new methods for measuring the surface of rock fracture using state-of-the-art technologies. Currently available measuring instruments, such as profilometers and confocal microscopes, provide information about hundreds of thousands of even millions measurement points which represent the investigated surface. The key problem, therefore, is to work out methods to adequately interpret such large packets of data. This study attempts a thorough analysis of this type of data using image processing and mathematical morphology methods. The paper presents the results received from morphological gradients, analyses of the results obtained from the watershed as well as the analyses of variograms. Furthermore, it proposes the application of morphological filtering for selecting the roughness component of a rock fracture. These results have been used in classifying the investigated rock. This classification was based on pattern recognition methods. By the definition of the 6D features space and the definition of learning sets, a successful classification of investigated rocks has been obtained, with up to ca. 95% correct recognitions.

[1]  Robert W. Zimmerman,et al.  Effect of shear displacement on the aperture and permeability of a rock fracture , 1998 .

[2]  W. Power,et al.  Topography of natural and artificial fractures in granitic rocks: Implications for studies of rock friction and fluid migration , 1997 .

[3]  M. Młynarczuk Możliwości wykorzystania analizy obrazu i morfologii matematycznej do analizy stereologicznej struktur skalnych , 2004 .

[4]  P. Meakin,et al.  Three-dimensional roughness of stylolites in limestones , 2004 .

[5]  C. Woodcock,et al.  The use of variograms in remote sensing. I - Scene models and simulated images. II - Real digital images , 1988 .

[6]  Ute Christina Herzfeld,et al.  Vario functions of higher order - definition and application to characterization of snow surface roughness , 2002 .

[7]  Knut JØrgen MÅLØY,et al.  Scaling and dynamics of an interfacial crack front , 2003 .

[8]  Michel Chouteau,et al.  3D gravity inversion using a model of parameter covariance , 2003 .

[9]  M. Irle,et al.  Filtering the roughness of a sanded wood surface , 2006, Holz als Roh- und Werkstoff.

[10]  Serge Beucher Segmentation d'images et morphologie mathématique , 1990 .

[11]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[12]  F. Schmitt,et al.  Scaling invariance of crack surfaces , 1995 .

[13]  Christopher C. Pain,et al.  Non-linear regimes of fluid flow in rock fractures , 2004 .

[14]  Jean Schmittbuhl,et al.  Scale Effects Related to Flow in Rough Fractures , 2001, Pure and Applied Geophysics.

[15]  Hong Hocheng,et al.  Signal analysis of surface roughness in diamond turning of lens molds , 2004 .

[16]  Jinzhuang Wang,et al.  Surface roughness evolution and mechanical behavior of rock joints under shear , 1997 .

[17]  T. Babadagli,et al.  A new computer-controlled surface-scanning device for measurement of fracture surface roughness , 2001 .

[18]  Pinnaduwa Kulatilake,et al.  Requirements for accurate quantification of self affine roughness using the roughness-length method , 1997 .

[19]  H. Elsenbeer,et al.  Scale dependency in spatial patterns of saturated hydraulic conductivity , 2004 .

[20]  Joëlle Riss,et al.  An experimental method to link morphological properties of rock fracture surfaces to their mechanical properties , 2003 .

[21]  Deborah Hopkins,et al.  Mapping fracture aperture as a function of normal stress using a combination of casting, image analysis and modeling techniques , 1997 .

[22]  R. Ribeiro,et al.  Relationship between technological properties and slab surface roughness of siliceous dimension stones , 2008 .

[23]  E. Bacry,et al.  Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  Peng Xu,et al.  A Monte Carlo method for simulating fractal surfaces , 2007 .

[25]  T. Ramamurthy A geo-engineering classification for rocks and rock masses , 2004 .

[26]  A. K. Raina,et al.  Rock mass characterization by fractal dimension , 2002 .

[27]  H. Trumpold,et al.  Why filtering surface profiles , 1998 .

[28]  W.-C. Liu,et al.  A surface topography model for automated surface finishing , 1998 .

[29]  Heping Xie,et al.  Multifractal characterization of rock fracture surfaces , 1999 .

[30]  L. Jing,et al.  The scale dependence of rock joint surface roughness , 2001 .

[31]  F. Lanaro A random field model for surface roughness and aperture of rock fractures , 2000 .

[32]  Mostafa Sharifzadeh,et al.  Rock Joint Surfaces Measurement and Analysis of Aperture Distribution under Different Normal and Shear Loading using GIS , 2006 .

[33]  N. Barton,et al.  The shear strength of rock joints in theory and practice , 1977 .

[34]  Donald E. Myers,et al.  Variogram characterization of joint surface morphology and asperity deformation during shearing , 1997 .

[35]  Qinghu Chen,et al.  Surface roughness evaluation by using wavelets analysis , 1999 .

[36]  J. Schmittbuhl,et al.  Fracture roughness and gouge distribution of a granite shear band , 2002 .

[37]  X. Emery Variograms of Order ω: A Tool to Validate a Bivariate Distribution Model , 2005 .

[38]  J. Gudmundsson,et al.  Fracture roughness characterization by shadow image analysis , 2002 .

[39]  S. Gentier,et al.  Sheared rock joints: Dependence of damage zones on morphological anisotropy , 1997 .