Optimal removal of topological artefacts in microtomographic images of porous materials

The analysis of flow at the pore scale in porous media has been facilitated with the use of microtomography. A powerful tool for quantifying the fluid structure using these tomographic 3D reconstructions is skeletonisation, but the significant disadvantage of this method is its sensitivity to noise, resulting in artefacts in the skeleton. A pre-processing of the 3D image is therefore required, but no method has yet proven to completely solve this problem. By developing a new procedure that, by construction, directly identifies the voxels and only those that are responsible for topological artefacts in the skeleton, we are able to remove all artefacts, and furthermore can prove that we do so by modifying a minimal amount of voxels in the segmented 3D image (i.e. the tomographic image in which each voxel has been assigned to either the porous or the solid phase). This is possible by identifying the three fundamental types of artefacts that can arise in a 3D skeleton, and dealing with each appropriately. Application to a microtomographic image of a sintered glass powder is presented. Impact of the different processing methods on the flow within its porosity is measured through the computed permeability deviations.

[1]  W. Brent Lindquist,et al.  Tomographic Analysis of Reactive Flow Induced Pore Structure Changes in Column Experiments , 2009 .

[2]  J. Crolet Computational Methods for Flow and Transport in Porous Media , 2000 .

[3]  Hans-Peter Seidel,et al.  Proceedings of the seventh ACM symposium on Solid modeling and applications , 2002 .

[4]  Michel Couprie,et al.  Transformations topologiques discrètes , 2007 .

[5]  Anders Kaestner,et al.  Imaging and image processing in porous media research , 2008 .

[6]  Mark L. Rivers,et al.  Using X-ray computed tomography in hydrology: systems, resolutions, and limitations , 2002 .

[7]  Chris Moran,et al.  3D reconstruction and quantification of macropores using X-ray computed tomography and image analysis , 2002 .

[8]  Eugene E. Bernard,et al.  Biological Prototypes and Synthetic Systems , 1995 .

[9]  Dominique Bernard,et al.  First direct 3D visualisation of microstructural evolutions during sintering through X-ray computed microtomography , 2005 .

[10]  R. Al-Raoush,et al.  A pore-scale investigation of a multiphase porous media system. , 2005, Journal of contaminant hydrology.

[11]  Gilles Bertrand,et al.  A Note on "Building Skeleton Models via 3-D Medial Surface/Axis Thinning Algorithms" , 1995, CVGIP Graph. Model. Image Process..

[12]  Larry L. Hench,et al.  Analysis of pore interconnectivity in bioactive glass foams using X-ray microtomography , 2004 .

[13]  Harry Blum,et al.  An Associative Machine for Dealing with the Visual Field and Some of Its Biological Implications , 1962 .

[14]  Holger Averdunk,et al.  IMPROVED PORE NETWORK EXTRACTION METHODS , 2005 .

[15]  Gilles Bertrand,et al.  A New 3D Parallel Thinning Scheme Based on Critical Kernels , 2006, DGCI.

[16]  Liang,et al.  Geometric and Topological Analysis of Three-Dimensional Porous Media: Pore Space Partitioning Based on Morphological Skeletonization. , 2000, Journal of colloid and interface science.

[17]  André Lieutier,et al.  Any open bounded subset of Rn has the same homotopy type as its medial axis , 2004, Comput. Aided Des..

[18]  R. Seright,et al.  Porous structure and fluid partitioning in polyethylene cores from 3D X-ray microtomographic imaging. , 2006, Journal of colloid and interface science.

[19]  W. B. Lindquist,et al.  Pore and throat size distributions measured from synchrotron X-ray tomographic images of Fontaineble , 2000 .

[20]  Karsten E. Thompson,et al.  Quantitative computer reconstruction of particulate materials from microtomography images , 2006 .

[21]  Chris Pudney,et al.  Distance-Ordered Homotopic Thinning: A Skeletonization Algorithm for 3D Digital Images , 1998, Comput. Vis. Image Underst..

[22]  M. Blunt,et al.  Network extraction from sandstone and carbonate pore space images , 2007 .

[23]  R. Al-Raoush,et al.  Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems , 2005 .

[24]  Azriel Rosenfeld,et al.  Digital topology: Introduction and survey , 1989, Comput. Vis. Graph. Image Process..

[25]  G. Vignoles,et al.  A Numerical Study of the Coupled Evolutions of Micro-Geometry and Transport Properties of Simple 3D Porous Media , 2000 .

[26]  Dork L. Sahagian,et al.  Analysis of the vesicular structure of basalts , 2005, Comput. Geosci..

[27]  W. B. Lindquist,et al.  3D image-based characterization of fluid displacement in a Berea core , 2007 .

[28]  Rangasami L. Kashyap,et al.  Building Skeleton Models via 3-D Medial Surface/Axis Thinning Algorithms , 1994, CVGIP Graph. Model. Image Process..