3D imaging of fracture propagation using synchrotron X-ray microtomography

Abstract During its propagation in a rock a fracture may cross mechanical heterogeneities, which modify the stress field near the crack tip and therefore may affect the direction of propagation. Pre-existing strong (grains) and weak (pores, microcracks) defects control the final path of the fracture and the amplitude of its out-of-plane fluctuations; they may also control rupture arrest. In situ quantification of the role of heterogeneities on fracture propagation is challenging because of the technical difficulty to image the interior of a 3D medium at high spatial resolution. Here, hydraulic tension fractures were produced in 5% porosity limestone core samples, using a specially designed hydraulic cell. The 3D geometry of the centimeter-scale samples was imaged before and after fracturing, using X-ray computed synchrotron microtomography at a voxel resolution of 4.91 × 4.91 × 4.91 µm. The data show that hydraulic fractures propagated by linkage of pores, leading to a macroscopic fracture with well-developed roughness. Moreover, it was possible to estimate that the hydraulic fractures crossed up to 40% more heterogeneities (pores) than if they had propagated into the porous medium by randomly connecting these pores. This demonstrates and quantifies the strong control of local mechanical variations on rupture propagation. A statistical model of fracture propagation is proposed, involving linkage of nearest pores; this model quantitatively reproduces our experimental observation.

[1]  Gioacchino Viggiani,et al.  Volumetric Digital Image Correlation Applied to X‐ray Microtomography Images from Triaxial Compression Tests on Argillaceous Rock , 2007 .

[2]  P. Cloetens,et al.  Characterisation by X-ray micro-tomography of cavity coalescence during superplastic deformation , 2000 .

[3]  Herrmann,et al.  Simulations of pressure fluctuations and acoustic emission in hydraulic fracturing. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  E. Detournay,et al.  Asymptotic solution for a penny-shaped near-surface hydraulic fracture , 2005 .

[5]  François Renard,et al.  Synchrotron 3D microtomography of halite aggregates during experimental pressure solution creep and evolution of the permeability , 2004 .

[6]  Daniel S. Fisher,et al.  Quasistatic Crack Propagation in Heterogeneous Media , 1996, cond-mat/9611196.

[7]  Gioacchino Viggiani,et al.  Advances in X-ray Tomography for Geomaterials , 2006 .

[8]  R. P. Young,et al.  Distinct element modeling of hydraulically fractured Lac du Bonnet granite , 2005 .

[9]  Dmitry I. Garagash,et al.  Plane-strain propagation of a fluid-driven fracture during injection and shut-in: Asymptotics of large toughness , 2006 .

[10]  Shahriar Talebi,et al.  Analysis of the microseismicity induced by a fluid injection in a granitic rock mass , 1987 .

[11]  E. Z. Lajtai,et al.  Fracture nucleation from a compression-parallel, finite-width elliptical flaw , 1993 .

[12]  Herrmann,et al.  Beam model for hydraulic fracturing. , 1994, Physical review. B, Condensed matter.

[13]  L. Tham,et al.  Influence of Heterogeneity of Mechanical Properties on Hydraulic Fracturing in Permeable Rocks , 2004 .

[14]  P. Cloetens,et al.  Permeability assessment by 3D interdendritic flow simulations on microtomography mappings of Al–Cu alloys , 2005 .

[15]  Michael F. Ashby,et al.  The failure of brittle porous solids under compressive stress states , 1986 .

[16]  D. Lockner,et al.  Hydrofracture in Weber Sandstone at high confining pressure and differential stress , 1977 .

[17]  J. R. Rice,et al.  Can crack front waves explain the roughness of cracks , 2002 .

[18]  S. C. Blair,et al.  Analysis of compressive fracture in rock using statistical techniques: Part I. A non-linear rule-based model , 1998 .

[19]  Joanne T. Fredrich,et al.  Predicting macroscopic transport properties using microscopic image data , 2005 .

[20]  Dominique Bernard,et al.  Numerically Enhanced Microtomographic Imaging Method Using a Novel Ring Artefact Filter , 2010 .

[21]  R. Ketcham,et al.  High-Resolution X-ray Computed Tomography as a Tool for Visualization and Quantitative Analysis of Igneous Textures in Three Dimensions , 2000 .

[22]  D. Lockner,et al.  The role of microcracking in shear-fracture propagation in granite , 1995 .

[23]  Failure patterns caused by localized rise in pore‐fluid overpressure and effective strength of rocks , 2007, 0801.0559.

[24]  Dmitry I. Garagash Erratum to “Plane-strain propagation of a fluid-driven fracture during injection and shut-in: Asymptotics of large toughness” (Engng Fract Mech 2006;73(4):456–81) , 2007 .

[25]  A. Tsuchiyama,et al.  Shear‐induced bubble coalescence in rhyolitic melts with low vesicularity , 2006 .

[26]  C. H. Scholz,et al.  Experimental study of the fracturing process in brittle rock , 1968 .

[27]  J. P. Harrison,et al.  A review of the state of the art in modelling progressive mechanical breakdown and associated fluid flow in intact heterogeneous rocks , 2006 .

[28]  Emmanuel M Detournay,et al.  Propagation of a hydraulic fracture parallel to a free surface , 2005 .

[29]  Roux,et al.  Reliability of self-affine measurements. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  R. Chambon,et al.  Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography , 1996 .

[31]  S. Vinciguerra,et al.  Experimental and modeling study of fluid pressure‐driven fractures in Darley Dale sandstone , 2004 .

[32]  S. Meguid,et al.  On the effect of the release of residual stresses due to near-tip microcracking , 1991, International Journal of Fracture.

[33]  Paul Segall,et al.  Nucleation and growth of strike slip faults in granite , 1983 .

[34]  R. Ketcham,et al.  High-resolution X-ray computed tomography of impactites , 2002 .