Fracture mechanisms in soft rock: Identification and quantification of evolving displacement discontinuities by extended digital image correlation

Deformation of rocks at shallow depths (i.e., at low confining pressures) is primarily driven by the evolution of new fractures or the propagation and coalescence of pre-existing ones. In this paper, fracture evolution from inclined flaws (cuts) in a soft rock deformed under plane-strain uniaxial compression is analyzed using high-resolution digital photographs and Digital Image Correlation (DIC). DIC provides a full-field measurement of the kinematics and thus allows the analysis of non-homogeneous deformation. However, standard DIC approaches do not handle correctly fractures, as they are displacement discontinuities. Therefore, an extended DIC method is developed that allows automatic tracing of discontinuities and their quantification in terms of the displacement jumps along their length. The analysis of spatial and temporal fracture evolution using this method enhances the understanding of the phenomena in that it provides experimental quantification of fracture mode (opening/closing and shearing).

[1]  W. H. Peters,et al.  Application of an optimized digital correlation method to planar deformation analysis , 1986, Image Vis. Comput..

[2]  Antonio Bobet,et al.  Coalescence of multiple flaws in a rock-model material in uniaxial compression , 2002 .

[3]  P Vacher,et al.  Bidimensional strain measurement using digital images , 1999 .

[4]  Jacques Desrues La localisation de la déformation dans les milieux granulaires , 1984 .

[5]  Gioacchino Viggiani,et al.  Monitoring Fracture Propagation in a Soft Rock (Neapolitan Tuff) Using Acoustic Emissions and Digital Images , 2006 .

[6]  M. Grédiac,et al.  Assessment of Digital Image Correlation Measurement Errors: Methodology and Results , 2009 .

[7]  Jean-José Orteu,et al.  3-D computer vision in experimental mechanics , 2007 .

[8]  S. Aversa,et al.  The Mechanical Behaviour of a Pyroclastic Rock: Yield Strength and “Destructuration” Effects , 1998 .

[9]  Herbert H. Einstein,et al.  Fracture coalescence in rock-type materials under uniaxial and biaxial compression , 1998 .

[10]  J. D. Helm,et al.  Digital Image Correlation for Specimens with Multiple Growing Cracks , 2008 .

[11]  Stéphane Roux,et al.  Extended digital image correlation with crack shape optimization , 2008 .

[12]  Fabrice Morestin,et al.  Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral , 2005 .

[13]  Herbert H. Einstein,et al.  Coalescence of fractures under shear stresses in experiments , 1995 .

[14]  A. Bobet The initiation of secondary cracks in compression , 2000 .

[15]  Gioacchino Viggiani,et al.  Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry , 2004 .

[16]  K. T. Chau,et al.  Analysis of crack coalescence in rock-like materials containing three flaws—Part I: experimental approach , 2001 .

[17]  Jinlong Chen,et al.  Deformation measurement across crack using two-step extended digital image correlation method , 2010 .

[18]  Michel Bornert,et al.  Localized deformation induced by heterogeneities in porous carbonate analysed by multi-scale digital image correlation , 2011 .

[19]  T. Ogawa,et al.  Evaluating mixed-mode stress intensity factors from full-field displacement fields obtained by optical methods , 2007 .

[20]  Anand Asundi,et al.  Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review , 2009 .

[21]  K. T. Chau,et al.  Crack coalescence in a rock-like material containing two cracks , 1998 .

[22]  H. Haddadi,et al.  Use of rigid-body motion for the investigation and estimation of the measurement errors related to digital image correlation technique , 2008 .

[23]  Stéphane Roux,et al.  Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches , 2006 .

[24]  Michael A. Sutton,et al.  The effect of out-of-plane motion on 2D and 3D digital image correlation measurements , 2008 .

[25]  Louis Ngai Yuen Wong,et al.  Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression , 2009 .

[26]  Hubert W. Schreier,et al.  Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts,Theory and Applications , 2009 .

[27]  Francois Barthelat,et al.  A Novel “Subset Splitting” Procedure for Digital Image Correlation on Discontinuous Displacement Fields , 2010 .

[28]  David Grégoire,et al.  Initiation, propagation, arrêt et redémarrage de fissures sous impact , 2008 .

[29]  Stéphane Roux,et al.  Shear-band capturing using a multiscale extended digital image correlation technique , 2007 .