On the challenges of greyscale‐based quantifications using X‐ray computed microtomography

For X‐ray computed microtomography (μ‐CT) images of porous rocks where the grains and pores are not fully resolved, the greyscale values of each voxel can be used for quantitative calculations. This study addresses the challenges that arise with greyscale‐based quantifications by conducting experiments designed to investigate the sources of error/uncertainty. We conduct greyscale‐based calculations of porosity, concentration and diffusivity from various μ‐CT experiments using a Bentheimer sandstone sample. The dry sandstone is imaged overtime to test the variation of greyscale values over sequential scans due to instrumentation stability. The sandstone is then imaged in a dry and contrast‐agent saturated state at low resolution to determine a porosity map, which is compared to a porosity map derived from segmented high‐resolution data. Then the linearity of the relationship between the concentration of a contrast agent and its corresponding attenuation coefficient is tested by imaging various solutions of known concentration. Lastly, a diffusion experiment is imaged at low resolution under dynamic conditions to determine local diffusivity values for the sandstone, which is compared to values derived from direct pore‐scale simulations using high‐resolution data. Overall, we identify the main errors associated with greyscale‐based quantification and provide practical suggestions to alleviate these issues.

[1]  T. Al,et al.  A technique for estimating one-dimensional diffusion coefficients in low-permeability sedimentary rock using X-ray radiography: comparison with through-diffusion measurements. , 2009, Journal of contaminant hydrology.

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

[3]  G. J. Leigh Macmillan's chemical and physical data , 1994 .

[4]  E. Buckingham On Physically Similar Systems; Illustrations of the Use of Dimensional Equations , 1914 .

[5]  Christoph H. Arns,et al.  Techniques in helical scanning, dynamic imaging and image segmentation for improved quantitative analysis with X-ray micro-CT , 2014 .

[6]  Y. Nakashima The use of X-ray CT to measure diffusion coefficients of heavy ions in water-saturated porous media , 2000 .

[7]  M. Blunt,et al.  Pore-scale imaging and modelling , 2013 .

[8]  Veerle Cnudde,et al.  Fast laboratory-based micro-computed tomography for pore-scale research: Illustrative experiments and perspectives on the future , 2016 .

[9]  A. Sheppard,et al.  Local diffusion coefficient measurements in shale using dynamic micro-computed tomography , 2017 .

[10]  S. R. Stock,et al.  X-ray microtomography of materials , 1999 .

[11]  S. L. Wellington,et al.  X-ray computerized tomography , 1987 .

[12]  Alexander G. Schwing,et al.  Multiphase flow in porous rock imaged under dynamic flow conditions with fast X-Ray computed microtomography , 2014 .

[13]  E. McCullough,et al.  Performance evaluation and quality assurance of computed tomography scanners, with illustrations from the EMI, ACTA, and Delta scanners. , 1976, Radiology.

[14]  Ryan T. Armstrong,et al.  Linking pore-scale interfacial curvature to column-scale capillary pressure , 2012 .

[15]  Vincent C. Tidwell,et al.  Effects of spatially heterogeneous porosity on matrix diffusion as investigated by X-ray absorption imaging , 1998 .

[16]  W. Kalender,et al.  Bar and Point Test Patterns Generated by Dry-Etching for Measurement of High Spatial Resolution in Micro-CT , 2009 .

[17]  Jan W. Hopmans,et al.  Determination of phase-volume fractions from tomographic measurements in two-phase systems , 1999 .

[18]  Adrian Sheppard,et al.  Techniques for image enhancement and segmentation of tomographic images of porous materials , 2004 .

[19]  J. Hopmans,et al.  Pore‐scale measurements of solute breakthrough using microfocus X‐ray computed tomography , 2000 .

[20]  Leo L Pel,et al.  Moisture and salt transport in three-layer plaster/substrate systems , 2010 .

[21]  A Sheppard,et al.  On the challenges of measuring interfacial characteristics of three‐phase fluid flow with x‐ray microtomography , 2014, Journal of microscopy.

[22]  R. Ketcham,et al.  Acquisition, optimization and interpretation of X-ray computed tomographic imagery: applications to the geosciences , 2001 .

[23]  E. M. Withjack,et al.  Computed tomography for rock-property determination and fluid-flow visualization , 1988 .

[24]  Peyman Mostaghimi,et al.  Time-Lapsed Visualization and Characterization of Shale Diffusion Properties Using 4D X-ray Microcomputed Tomography , 2018 .

[25]  Xianguo Li,et al.  Correlation for the Effective Gas Diffusion Coefficient in Carbon Paper Diffusion Media , 2009 .

[26]  Dorthe Wildenschild,et al.  Image processing of multiphase images obtained via X‐ray microtomography: A review , 2014 .

[27]  Anthony R. Kovscek,et al.  CT Imaging of Low-Permeability, Dual-Porosity Systems Using High X-ray Contrast Gas , 2013, Transport in Porous Media.

[28]  Ryan T. Armstrong,et al.  The effect of pore morphology on microbial enhanced oil recovery , 2015 .

[29]  E. Hussein,et al.  Three dimensional imaging of porosity and tracer concentration distributions in a dolostone sample during diffusion experiments using X-ray micro-CT. , 2013, Journal of contaminant hydrology.

[30]  D. Wildenschild,et al.  X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems , 2013 .

[31]  Tapan Mukerji,et al.  Digital rock physics benchmarks - part II: Computing effective properties , 2013, Comput. Geosci..

[32]  P. Grathwohl,et al.  Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity. , 2001, Journal of contaminant hydrology.

[33]  Martin J. Blunt,et al.  Computations of Absolute Permeability on Micro-CT Images , 2012, Mathematical Geosciences.

[34]  Min Liu,et al.  Impact of mineralogical heterogeneity on reactive transport modelling , 2017, Comput. Geosci..

[35]  J Herzen,et al.  Spatial resolution characterization of a X-ray microCT system. , 2014, Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine.