X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems

Advances in Water Resources - Tập 51 - Trang 217-246 - 2013
Dorthe Wildenschild1, Adrian P. Sheppard2
1School of Chemical, Biological, and Environmental Engineering, Oregon State University, Corvallis, OR 97331, USA
2Department of Applied Mathematics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200, Australia

Tài liệu tham khảo

Winick, 2010 Schlachter, A.S., et al. Synchrotron radiation. in AccessScience. ©McGraw-Hill Companies; 2008. <http://www.accessscience.com>. Myers, 2007, Polychromatic cone-beam phase-contrast tomography, Phys Rev A, 76, 045804, 10.1103/PhysRevA.76.045804 Chatzis, 1983, Magnitude and detailed structure of residual oil saturation, SPE J, 23, 10681-PA Sheppard, 2004, Techniques for image enhancement and segmentation of tomographic images of porous materials, Physica A, 339, 145, 10.1016/j.physa.2004.03.057 Mayhew, 2011, Microscale imaging and identification of Fe speciation and distribution during fluid-mineral reactions under highly reducing conditions, Environ Sci Technol, 45, 4468, 10.1021/es104292n Varslot TK et al. Combining high-fidelity helical micro-tomography with region-of-interest scanning for improved core characterization. In: 2011 International Symposium of the Society of Core Analysts, Austin, TX, USA; 2011. Sok RM et al. Pore scale characterization of carbonates at multiple scales: Integration of MicroCT, BSEM and FIBSEM. In: Proceedings of the 2009 international symposium of the society of core analysts, Noordwijk, The Netherlands; 2009. Gaillard, 2007, Imaging of colloidal deposits in granular porous media by X-ray difference micro-tomography, Geophys Res Lett, 34, 10.1029/2007GL030514 Davit, 2011, Imaging biofilm in porous media using X-ray computed microtomography, J Microsc, 242, 15, 10.1111/j.1365-2818.2010.03432.x Iltis, 2011, Imaging biofilm architecture within porous media using synchrotron-based X-ray computed microtomography, Water Resour Res, 47, 1, 10.1029/2010WR009410 Kumar, 2010, Micro-petrophysical experiments via tomography and simulation Armstrong RT, Porter ML, Wildenschild D. Linking pore-scale interfacial curvature to column-scale capillary pressure. Adv Water Resour 2012;46:55–62.. McCullough, 1975, Photon attenuation in computed tomography, Med Phys, 2, 307, 10.1118/1.594199 Wildenschild, 2002, Using X-ray computed tomography in hydrology: systems, resolutions, and limitations, J Hydrol, 267, 285, 10.1016/S0022-1694(02)00157-9 Herman, 1979, Correction for beam hardening in computed tomography, Phys Med Biol, 24, 81, 10.1088/0031-9155/24/1/008 Ketcham, 2001, Acquisition, optimization and interpretation of X-ray computed tomographic imagery: applications to the geosciences, Comput Geosci, 27, 381, 10.1016/S0098-3004(00)00116-3 Hsieh, 2000, An iterative approach to the beam hardening correction in cone beam CT, Med Phys, 27, 23, 10.1118/1.598853 Iassonov, 2010, Application of segmentation for correction of intensity bias in X-ray computed tomography images, Vadose Zone J, 9, 187, 10.2136/vzj2009.0042 Rivers ML, Sutton SR, Eng P. Geoscience applications of X-ray computed microtomography. In: Proceedings of the SPIE conference on developments in X-ray tomography II, Denver, CO; July 1999. p. 78–86. Arhatari, 2004, Phase contrast radiography: image modeling and optimization, Rev Sci Instrum, 75, 5271, 10.1063/1.1819652 Davis, 1995, Phase-contrast tomography of weakly absorbing materials using hard X-rays, Nature, 373, 595, 10.1038/373595a0 Wilkins, 1996, Phase-contrast imaging using polychromatic hard X-rays, Nature, 384, 335, 10.1038/384335a0 Gureyev, 2009, Refracting Rontgen’s rays: propagation-based X-ray phase contrast for biomedical imaging, J Appl Phys, 105, 10.1063/1.3115402 Cloetens, 1999, Holotomography: quantitative phase tomography with micrometer resolution using hard synchrotron radiation x rays, Appl Phys Lett, 75, 2912, 10.1063/1.125225 Pfeiffer, 2006, Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources, Nat Phys, 2, 258, 10.1038/nphys265 Nugent, 2010, Coherent methods in the X-ray sciences, Adv Phys, 59, 1, 10.1080/00018730903270926 Myers, 2007, Polychromatic cone-beam phase-contrast tomography, Phys Rev A, 76, 10.1103/PhysRevA.76.045804 Burvall, 2011, Phase retrieval in X-ray phase-contrast imaging suitable for tomography, Opt Exp, 19, 10359, 10.1364/OE.19.010359 Yang, 2010, Feasibility of a data-constrained prediction of hydrocarbon reservoir sandstone microstructures, Meas Sci Technol, 21, 10.1088/0957-0233/21/4/047001 Kinney, 1992, X-ray tomographic microscopy (XTM) using synchrotron radiation, Annu Rev Mater Sci, 22, 121, 10.1146/annurev.ms.22.080192.001005 Boisseau P. Determination of three dimensional trace element distributions by the use of monochromatic X-ray microbeams, Ph.D. Thesis. MIT; 1986. Lombi, 2009, Synchrotron-based techniques for plant and soil science. Opportunities, challenges and future perspectives, Plant Soil, 320, 1, 10.1007/s11104-008-9876-x Hounsfield, 1973, Computed transverse axial scanning (tomography). I. Description of system, Br J Radiol, 46, 1016, 10.1259/0007-1285-46-552-1016 Sato, 1981, X-ray tomography for microstructural objects, Appl Opt, 20, 3880, 10.1364/AO.20.003880 Elliott, 1982, X-ray microtomography, J Microsc, 126, 211, 10.1111/j.1365-2818.1982.tb00376.x Elliott, 1985, X-ray microscopy using computerized axial tomography, J Micros., 138, 329, 10.1111/j.1365-2818.1985.tb02627.x Fontijn, 1978, An operational 150 kV microfocus rod anode X-ray system for non-destructive testing, NDT Int, 11, 229, 10.1016/0308-9126(78)90078-0 Aoki, 1981, A high-brilliance microfocus x-ray source with an LaB6 cathode, Jpn J Appl Phys, 20, 2419, 10.1143/JJAP.20.2419 Burstein, 1984, The largest and smallest X-ray computed tomography systems, Nucl Instrum Methods Phys Res Sect A – Accelerators Spectrometers Detectors Assoc Equipment, 221, 207 Seguin, 1985, X-ray computed tomography with 50μm resolution, Appl Opt, 24, 4117, 10.1364/AO.24.004117 Bateman, 1988, Digital X-ray microscopy with a microfocal X-ray generator and an MWPC area detector, Nucl Instrum Methods Phys Res Sect A – Accelerators Spectrometers Detectors Assoc Equipment, 273, 767, 10.1016/0168-9002(88)90093-9 Flannery, 1987, Three-dimensional X-ray microtomography, Science, 237, 1439, 10.1126/science.237.4821.1439 Holdsworth, 1993, A high-resolution XRII-based quantitative volume CT scanner, Med Phys, 20, 449, 10.1118/1.597038 Morton, 1990, 3-Dimensional X-ray microtomography for medical and biological applications, Phys Med Biol, 35, 805, 10.1088/0031-9155/35/7/001 Machin, 1994, Cone-beam X-ray microtomography of small specimens, Phys Med Biol, 39, 1639, 10.1088/0031-9155/39/10/009 Sasov, 1998, Desktop X-ray microscopy and microtomography, J Microsc, 191, 151, 10.1046/j.1365-2818.1998.00367.x Davis, 1997, X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image, Nucl Instrum Methods Phys Res Sect A – Accelerators Spectrometers Detectors Assoc Equipment, 394, 157, 10.1016/S0168-9002(97)00566-4 Sakellariou, 2004, X-ray tomography for mesoscale physics applications, Physica A, 339, 152, 10.1016/j.physa.2004.03.055 Withers, 2007, X-ray nanotomography, Mater Today, 10, 26, 10.1016/S1369-7021(07)70305-X Mayo, 2003, X-ray phase-contrast microscopy and microtomography, Opt Exp, 11, 2289, 10.1364/OE.11.002289 Varslot T et al. Fast high-resolution micro-CT with exact reconstruction methods. In Stock SR, editor. Developments in X-ray tomography Vii; 2010. Tkachuk, 2007, X-ray computed tomography in Zernike phase contrast mode at 8keV with 50-nm resolution using Cu rotating anode X-ray source, Z. Kristallographie, 222, 650, 10.1524/zkri.2007.222.11.650 Izzo, 2008, Nondestructive reconstruction and analysis of SOFC anodes using X-ray computed tomography at sub-50 nm resolution, J Electrochem Soc, 155, B504, 10.1149/1.2895067 Robinson AL. History of synchrotron radiation. X-ray Data Booklet, section 2.2. (LBNL/PUB-490 Rev. 2); 2001. Sham, 2002, A brief overview of synchrotron radiation, Appl Synchrotron Radiat Low-Temp Geochem Environ Sci, 49, 117 Borodin, 1986, Scanning X-ray difference microscopy and microtomography using synchrotron radiation of the storage ring VEPP-4, Nucl Instrum Methods Phys Res Sect A, 246, 649, 10.1016/0168-9002(86)90168-3 Bonse, 1986, High resolution tomography with chemical specificity, Nucl Instrum Methods Phys Res Sect A, 246, 644, 10.1016/0168-9002(86)90167-1 Spanne, 1987, Computerized microtomography using synchrotron radiation from the NSLS, Nucl Instrum Methods Phys Res Sect B, 24–25, 1063, 10.1016/S0168-583X(87)80312-9 D’Amico, 1989, X-ray microtomography with monochromatic synchrotron radiation (invited), Rev Sci Instrum, 60, 1524, 10.1063/1.1140975 Takeuchi, 2002, Submicrometer-resolution three-dimensional imaging with hard X-ray imaging microtomography, Rev Sci Instrum, 73, 4246, 10.1063/1.1515385 Herman, 1976, Convolution reconstruction techniques for divergent beams, Comput Biol Med, 6, 259, 10.1016/0010-4825(76)90065-2 Feldkamp, 1984, Practical cone-beam algorithm, J Opt Soc Am A, 1, 612, 10.1364/JOSAA.1.000612 Xu, 2005, Accelerating popular tomographic reconstruction algorithms on commodity PC graphics hardware, IEEE Trans Nucl Sci, 52, 654, 10.1109/TNS.2005.851398 Natterer, 2001 Myers, 2011, Dynamic tomography with a priori information, Appl Opt, 50, 3685, 10.1364/AO.50.003685 Ballabriga R et al. Medipix3: a 64 k pixel detector readout chip working in single photon counting mode with improved spectrometric performance. Nucle Instrum Methods Phys Res Sect A – Accelerators Spectrometers Detectors and Associated Equipment 2011; 633:15–8. Gimenez, 2011, Characterization of Medipix3 with synchrotron radiation, IEEE Trans Nucl Sci, 58, 323, 10.1109/TNS.2010.2089062 Kraft, 2009, Characterization and Calibration of PILATUS detectors, IEEE Trans Nucl Sci, 56, 758, 10.1109/TNS.2008.2009448 Hemberg, 2003, Liquid-metal-jet anode electron-impact X-ray source, Appl Phys Lett, 83, 1483, 10.1063/1.1602157 Otendal, 2007, Stability and debris in high-brightness liquid-metal-jet-anode microfocus X-ray sources, J Appl Phys, 101, 026102, 10.1063/1.2423229 Otendal, 2008, A 9 keV electron-impact liquid-gallium-jet X-ray source, Rev Sci Instrum, 79, 016102, 10.1063/1.2833838 Carroll, 2003, Pulsed tunable monochromatic X-ray beams from a compact source. New opportunities, Am J Roentgenol, 181, 1197, 10.2214/ajr.181.5.1811197 Kuroda R et al. Quasi-monochromatic hard X-ray source via laser Compton scattering and its application. Nucl Instrum Methods Phys Res Sect A: Accelerators, Spectrometers, Detectors and Associated Equipment; 2010. Urakawa, 2010, Development of a compact X-ray source based on Compton scattering using a 1.3GHz superconducting RF accelerating linac and a new laser storage cavity, Nucl Instrum Methods Phys Res Sect A, 637, S47, 10.1016/j.nima.2010.02.019 Yamada, 2003, Novel X-ray source based on a tabletop synchrotron and its unique features, Nucl Instrum Methods Phys Res Sect B – Beam Interactions Mater. Atoms, 199, 509, 10.1016/S0168-583X(02)01593-8 Toth, 2007, Evaluation of ultrafast laser-based hard X-ray sources for phase-contrast imaging, Phys Plasmas, 14, 10.1063/1.2730778 Ketcham, 2005, Nondestructive high-resolution visualization and measurement of anisotropic effective porosity in complex lithologies using high-resolution X-ray computed tomography, J Hydrol, 302, 92, 10.1016/j.jhydrol.2004.06.037 Latham S, Varslot T, Sheppard A. Image registration: enhancing and calibrating X-ray micro-CT imaging. In: International symposium of the society of core analysts, The Society of Core Analysts, Abu Dhabi, UAE; 2008. Bay, 1999, Digital volume correlation: three-dimensional strain mapping using X-ray tomography, Exp Mech, 39, 217, 10.1007/BF02323555 Silin, 2011, Microtomography and pore-scale modeling of two-phase fluid distribution, Transp Porous Media, 86, 495, 10.1007/s11242-010-9636-2 Iglauer, 2011, Residual CO2 imaged with X-ray micro-tomography, Geophys Res Lett, 38, 25 Coléou, 2001, Three-dimensional snow images by X-ray microtomography, Ann Glaciol, 32, 75, 10.3189/172756401781819418 Flin, 2005, Adaptive estimation of normals and surface area for discrete 3-D objects: application to snow binary data from X-ray tomography, IEEE Trans Image Process, 14, 585, 10.1109/TIP.2005.846021 Flin F et al. Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions. In: Fohn, P.M.B., editor. Annals of glaciology, vol. 38; 2004. p. 39–44. Pieritz RA et al. From snow X-ray microtomograph raw volume data to micromechanics modeling: first results. In: Fohn PMB, editor. Annals of glaciology, vol. 38; 2004. p. 52–8. Kaempfer, 2007, Observation of isothermal metamorphism of new snow and interpretation as a sintering process, J Geophys Res – Atmos, 112, 10.1029/2007JD009047 Kaempfer, 2005, A microstructural approach to model heat transfer in snow, Geophys Res Lett, 32, 10.1029/2005GL023873 Schneebeli, 2004, Tomography of temperature gradient metamorphism of snow and associated changes in heat conductivity, Hydrol Process, 18, 3655, 10.1002/hyp.5800 Heggli, 2011, Measuring snow in 3-D using X-ray tomography: assessment of visualization techniques, Ann Glaciol, 52, 231, 10.3189/172756411797252202 Culligan, 2004, Interfacial area measurements for unsaturated flow through a porous medium, Water Resour Res, 40, 10.1029/2004WR003278 Porter, 2010, Measurement and prediction of the relationship between capillary pressure, saturation, and interfacial area in a NAPL–water–glass bead system, Water Resour Res, 46, 1, 10.1029/2009WR007786 Olsen, 1999, Characterizing solute transport in undisturbed soil cores using electrical and X-ray tomographic methods, Hydrol Process, 13, 211, 10.1002/(SICI)1099-1085(19990215)13:2<211::AID-HYP707>3.0.CO;2-P Han, 2009, Deviation from Archie’s law in partially saturated porous media: Wetting film versus disconnectedness of the conducting phase, Phys Rev E, 79, 10.1103/PhysRevE.79.031127 Kumar, 2011, Probing the archie’s exponent under variable saturation conditions, Petrophysics, 52, 124 Watson, 2011, Connectivity of core forming melts: experimental constraints from electrical conductivity and X-ray tomography, Phys Earth Planet Inter, 186, 172, 10.1016/j.pepi.2011.03.009 Redwan, 2010, Simultaneous monitoring of water saturation and fluid conductivity in unconsolidated sand columns, Soil Sci Soc Am J, 74, 1457, 10.2136/sssaj2009.0398 Bay BK. Experimental measurement of three-dimensional continuum-level strain fields in trabecular bone. In: Majumdar SBBK, editor. Noninvasive assessment of trabecular bone architecture and the competence of bone; 2001. p. 181–97. Peth, 2010, Non-invasive 3D analysis of local soil deformation under mechanical and hydraulic stresses by mu CT and digital image correlation, Soil Tillage Res, 111, 3, 10.1016/j.still.2010.02.007 Renard, 2009, 3D imaging of fracture propagation using synchrotron X-ray microtomography, Earth Planet Sci Lett, 286, 285, 10.1016/j.epsl.2009.06.040 Gates, 2011, Towards high performance digital volume correlation, Exp Mech, 51, 491, 10.1007/s11340-010-9445-0 Monsen, 2005, Improved understanding of velocity–saturation relationships using 4D computer-tomography acoustic measurements, Geophys Prospect, 53, 173, 10.1111/j.1365-2478.2004.00464.x Louis, 2006, Imaging strain localization by X-ray computed tomography: discrete compaction bands in Diemelstadt sandstone, J Struct Geol, 28, 762, 10.1016/j.jsg.2006.02.006 Charalampidou, 2011, Characterization of shear and compaction bands in a porous sandstone deformed under triaxial compression, Tectonophysics, 503, 8, 10.1016/j.tecto.2010.09.032 Raynaud, 2010, Experimental study of the relation between the permeability of kaolinite and its deformation at micro and macro scale, Int J Rock Mech Min Sci, 47, 559, 10.1016/j.ijrmms.2010.04.007 David, 2008, Influence of mechanical damage on fluid flow patterns investigated using CT scanning imaging and acoustic emissions techniques, Geophys Res Lett, 35, 10.1029/2008GL034879 David, 2011, X-ray imaging of water motion during capillary imbibition: geometry and kinetics of water front in intact and damaged porous rocks, J Geophys Res – Solid Earth, 116, 10.1029/2010JB007972 Wang, 2011, In situ high-pressure and high-temperature X-ray microtomographic imaging during large deformation: a new technique for studying mechanical behavior of multiphase composites, Geosphere, 7, 40, 10.1130/GES00560.1 Di Michiel, 2005, Fast microtomography using high energy synchrotron radiation, Rev Sci Instrum, 76, 10.1063/1.1884194 Uesugi, 2006, Fast tomography using quasi-monochromatic undulator radiation, J Synchrotron Radiat, 13, 403, 10.1107/S0909049506023466 Takano, 2009, Fast X-ray micro-CT for real-time 4D observation, J Phys Conf Ser, 186, 012049, 10.1088/1742-6596/186/1/012049 Rack, 2010, On the possibilities of hard X-ray imaging with high spatio-temporal resolution using polychromatic synchrotron radiation, J X-ray Sci Technol, 18, 429, 10.3233/XST-2010-0273 Mokso R et al. Real Time Tomography at the Swiss Light, Source, Melbourne (Australia); 2010. Grader AS et al. Computations of porosity and permeability of sparic carbonate using multi-scale CT images. In: Proceedings of the international symposium of the society of core analysts, SCA2009-31; 2009. Otsu, 1979, Threshold selection method from gray-level histograms, IEEE Trans Syst Man Cybernet, 9, 62, 10.1109/TSMC.1979.4310076 Ridler, 1978, Picture thresholding using an iterative selection method, IEEE Trans Syst Man Cybernet, 8, 630, 10.1109/TSMC.1978.4310039 Iassonov, 2009, Segmentation of X-ray computed tomography images of porous materials: a crucial step for characterization and quantitative analysis of pore structures, Water Resour Res, 45, 10.1029/2009WR008087 Porter, 2010, Image analysis algorithms for estimating porous media multiphase flow variables from computed microtomography data: a validation study, Comput Geosci, 14, 15, 10.1007/s10596-009-9130-5 Kivanc Mihcak, 1999, Low-complexity image denoising based on statistical modeling of wavelet coefficients, IEEE Signal Process Lett, 6, 300, 10.1109/97.803428 Perona, 1990, Scale-space and edge-detection using anisotropic diffusion, IEEE Trans Pattern Anal Mach Intell, 12, 629, 10.1109/34.56205 Besag, 1986, On the statistical analysis of dirty pictures, J Roy Statist Soc Ser B – Methodol, 48, 259 Awate, 2006, Unsupervised, information-theoretic, adaptive image filtering for image restoration, IEEE Trans Pattern Anal Mach Intell, 28, 364, 10.1109/TPAMI.2006.64 Oh, 1999, Image thresholding by indicator kriging, IEEE Trans Pattern Anal Mach Intell, 21, 590, 10.1109/34.777370 Wang, 2011, Comparison of image segmentation methods in simulated 2D and 3D microtomographic images of soil aggregates, Geoderma, 162, 231, 10.1016/j.geoderma.2011.01.006 Prodanovic, 2007, 3D image-based characterization of fluid displacement in a Berea core, Adv Water Resour, 30, 214, 10.1016/j.advwatres.2005.05.015 Geman, 1984, Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Trans Pattern Anal Mach Intell, 6, 721, 10.1109/TPAMI.1984.4767596 Shi, 2000, Normalized cuts and image segmentation, IEEE Trans Pattern Anal Mach Intell, 22, 888, 10.1109/34.868688 Boykov, 2001, Fast approximate energy minimization via graph cuts, IEEE Trans Pattern Anal Mach Intell, 23, 1222, 10.1109/34.969114 Zhu, 1996, Region competition: unifying snakes, region growing, and Bayes/MDL for multiband image segmentation, IEEE Trans Pattern Anal Mach Intell, 18, 884, 10.1109/34.537343 Kim, 2005, A nonparametric statistical method for image segmentation using information theory and curve evolution, IEEE Trans Image Process, 14, 1486, 10.1109/TIP.2005.854442 Zhang, 2001, Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm, IEEE Trans Med Imaging, 20, 45, 10.1109/42.906424 Awate, 2006, Adaptive Markov modeling for mutual-information-based, unsupervised MRI brain-tissue classification, Med Image Anal, 10, 726, 10.1016/j.media.2006.07.002 Tohka, 2004, Fast and robust parameter estimation for statistical partial volume models in brain MRI, Neuroimage, 23, 84, 10.1016/j.neuroimage.2004.05.007 Van Leemput, 2003, A unifying framework for partial volume segmentation of brain MR images, IEEE Trans Med Imaging, 22, 105, 10.1109/TMI.2002.806587 Hwang, 2002, Subvoxel processing: a method for reducing partial volume blurring with application to in vivo MR images of trablecular bone, Magn Reson Med, 47, 948, 10.1002/mrm.10138 Ayasso, 2010, Joint NDT image restoration and segmentation using gauss-markov-potts prior models and variational bayesian computation, IEEE Trans Image Process, 19, 2265, 10.1109/TIP.2010.2047902 Mohebi, 2009, Statistical fusion of two-scale images of porous media, Adv Water Resour, 32, 1567, 10.1016/j.advwatres.2009.08.005 Ketcham, 2010, Three-dimensional measurement of fractures in heterogeneous materials using high-resolution X-ray computed tomography, Geosphere, 6, 499, 10.1130/GES00552.1 Smith, 2002, Fast robust automated brain extraction, Hum Brain Mapp, 17, 143, 10.1002/hbm.10062 Myers, 2008, Phase-contrast tomography of single-material objects from few projections, Opt Exp, 16, 908, 10.1364/OE.16.000908 Batenburg KJ. A network flow algorithm for binary image reconstruction from few projections. In: Discrete Geometry for Computer Imagery, Proceedings, Kuba ANLGPK, editor; 2006. p. 86–97. Leavers, 1987, The Radon transform and its application to shape parametrization in machine vision, Image Vis Comput, 5, 161, 10.1016/0262-8856(87)90044-8 Duda, 1972, Use of the Hough transformation to detect lines and curves in pictures, Commun ACM, 15, 11, 10.1145/361237.361242 Torquato, 2002, Statistical description of microstructures, Annu Rev Mater Res, 32, 77, 10.1146/annurev.matsci.32.110101.155324 Krause, 2010, Determination of the fibre orientation in composites using the structure tensor and local X-ray transform, J Mater Sci, 45, 888, 10.1007/s10853-009-4016-4 Santalo, 1977 Mecke, 1991, Euler characteristic and related measures for random geometric sets, J Stat Phys, 64, 843, 10.1007/BF01048319 Mecke, 1994, Robust morphological measures for large-scale structure in the universe, Astron Astrophys, 288, 697 Schladitz, 2011, Quantitative micro-CT, J Microsc, 243, 111, 10.1111/j.1365-2818.2011.03513.x Lehmann, 2006, Tomographical imaging and mathematical description of porous media used for the prediction of fluid distribution, Vadose Zone J, 5, 80, 10.2136/vzj2004.0177 Vogel, 2010, Quantification of soil structure based on Minkowski functions, Comput Geosci, 36, 1236, 10.1016/j.cageo.2010.03.007 Schroder-Turk, 2011, Minkowski tensor shape analysis of cellular, granular and porous structures, Adv Mater, 23, 2535, 10.1002/adma.201100562 Kong, 1989, Digital topology: introduction and survey, Comput Vision Graphics Image Process, 48, 357, 10.1016/0734-189X(89)90147-3 Edelsbrunner, 2002, Topological persistence and simplification, Discrete Comput Geom, 28, 511, 10.1007/s00454-002-2885-2 Robins, 2011, Theory and algorithms for constructing discrete morse complexes from grayscale digital images, IEEE Trans Pattern Anal Mach Intell, 33, 1646, 10.1109/TPAMI.2011.95 Gyulassy, 2008, A practical approach to morse-smale complex computation: scalability and generality, IEEE Trans Visual Comput Graphics, 14, 1619, 10.1109/TVCG.2008.110 Glantz, 2007, Dual models of pore spaces, Adv Water Resour, 30, 227, 10.1016/j.advwatres.2005.11.017 Glantz, 2008, Tight dual models of pore spaces, Adv Water Resour., 31, 787, 10.1016/j.advwatres.2008.01.015 Serra, 1984 Hazlett, 1995, Simulation of capillary-dominated displacements in microtomographic images of reservoir rocks, Transp Porous Media, 20, 21, 10.1007/BF00616924 Hilpert, 2001, Pore-morphology-based simulation of drainage in totally wetting porous media, Adv Water Resour, 24, 243, 10.1016/S0309-1708(00)00056-7 Arns, 2005, Cross-property correlations and permeability estimation in sandstone, Phys Rev E, 72, 10.1103/PhysRevE.72.046304 Harrigan, 1984, Characterization of microstructural anisotropy in orthotropic materials using a 2nd rank tensor, J Mater Sci, 19, 761, 10.1007/BF00540446 Odgaard, 1997, Fabric and elastic principal directions of cancellous bone are closely related, J Biomech, 30, 487, 10.1016/S0021-9290(96)00177-7 Ketcham, 2005, Three-dimensional grain fabric measurements using high-resolution X-ray computed tomography, J Struct Geol, 27, 1217, 10.1016/j.jsg.2005.02.006 Saha, 2000, Three-dimensional digital topological characterization of cancellous bone architecture, Int J Imaging Syst Technol, 11, 81, 10.1002/(SICI)1098-1098(2000)11:1<81::AID-IMA9>3.0.CO;2-1 Iglauer, 2010, X-ray tomography measurements of power-law cluster size distributions for the nonwetting phase in sandstones, Phys Rev E, 82, 10.1103/PhysRevE.82.056315 Liu, 2011, Application of percolation theory to microtomography of structured media: percolation threshold, critical exponents, and upscaling, Phys Rev E, 83, 10.1103/PhysRevE.83.016106 Denison, 1997, Three-dimensional quantitative textural analysis of metamorphic rocks using high-resolution computed X-ray tomography. 1: Methods and techniques, J Metamorph Geol, 15, 29, 10.1111/j.1525-1314.1997.00006.x Beucher S, Lantuejoul C. Use of watersheds in contour detection. In: International workshop on image processing: real-time edge and motion detection/estimation, Rennes, France; 1979. Ketcham, 2005, Computational methods for quantitative analysis of three-dimensional features in geological specimens, Geosphere, 1, 32, 10.1130/GES00001.1 Thompson, 2008, Application of a new grain-based reconstruction algorithm to microtomography images for quantitative characterization and flow modeling, SPE J, 13, 164, 10.2118/95887-PA Sheppard AP et al. Analysis of rock microstructure using high-resolution X-ray tomography. In: 2006 international symposium of the society of core analysts. Trondheim, Norway: Society of Core Analysts; 2006. Claussen, 2007, Offdiagonal complexity: a computationally quick complexity measure for graphs and networks, Phys A – Statist Mech Appl, 375, 365, 10.1016/j.physa.2006.08.067 Shakarji, 1998, Least-squares fitting algorithms of the NIST algorithm testing system, J Res Nat Inst Stand Technol, 103, 633, 10.6028/jres.103.043 Krumbein, 1963 Garboczi, 2002, Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete, Cem Concr Res, 32, 1621, 10.1016/S0008-8846(02)00836-0 Erdogan, 2006, Three-dimensional shape analysis of coarse aggregates: new techniques for and preliminary results on several different coarse aggregates and reference rocks, Cem Concr Res, 36, 1619, 10.1016/j.cemconres.2006.04.003 Taylor, 2006, Some properties of irregular 3-D particles, Powder Technol, 162, 1, 10.1016/j.powtec.2005.10.013 Erdogan, 2010, Micrometer-scale 3-D shape characterization of eight cements: Particle shape and cement chemistry, and the effect of particle shape on laser diffraction particle size measurement, Cem Concr Res, 40, 731, 10.1016/j.cemconres.2009.12.006 Lindquist, 1996, Medial axis analysis of void structure in three-dimensional tomographic images of porous media, J Geophys Res, 101, 8297, 10.1029/95JB03039 Lindquist, 2000, Pore and throat size distributions measured from synchrotron X-ray tomographic images of Fontainebleau sandstones, J Geophys Res, 105, 21509, 10.1029/2000JB900208 Vogel, 2001, Quantitative morphology and network representation of soil pore structure, Adv Water Resour, 24, 233, 10.1016/S0309-1708(00)00055-5 Al-Raoush, 2005, Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems, J Hydrol, 300, 44, 10.1016/j.jhydrol.2004.05.005 Sheppard AP, Sok RM, Averdunk H. Improved pore network extraction methods. In: International symposium of the society of core analyst. Toronto, Canada: Society of Core Analysts; 2005. Al-Kharusi, 2007, Network extraction from sandstone and carbonate pore space images, J Petrol Sci Eng, 56, 219, 10.1016/j.petrol.2006.09.003 Jiang, 2007, Efficient extraction of networks from three-dimensional porous media, Water Resour Res, 43, 10.1029/2006WR005780 Peth, 2008, Three-dimensional quantification of intra-aggregate pore-space features using synchrotron-radiation-based microtomography, Soil Sci Soc Am J, 72, 897, 10.2136/sssaj2007.0130 Lindquist, 1999, Investigating 3D geometry of porous media from high resolution images, Phys Chem Earth Part A, 24, 593, 10.1016/S1464-1895(99)00085-X Prodanović, 2006, Porous structure and fluid partitioning in polyethylene cores from 3D X-ray microtomographic imaging, J Colloid Interface Sci, 298, 282, 10.1016/j.jcis.2005.11.053 Lorensen, 1987, Marching cubes: a high resolution 3D surface construction algorithm, Comput Graphics, 21, 10.1145/37402.37422 Ruppert, 1995, A Delaunay refinement algorithm for quality 2-dimensional mesh generation, J Algor, 18, 548, 10.1006/jagm.1995.1021 Shewchuk, 2002, Delaunay refinement algorithms for triangular mesh generation, Comput Geom – Theory Appl, 22, 21, 10.1016/S0925-7721(01)00047-5 Dalla, 2002, Computation of the interfacial area for two-fluid porous medium systems, J Contam Hydrol, 56, 25, 10.1016/S0169-7722(01)00202-9 McClure, 2007, Approximation of interfacial properties in multiphase porous medium systems, Adv Water Resour, 30, 354, 10.1016/j.advwatres.2006.06.010 Rodriguez, 2011, Contact line extraction and length measurements in model sediments and sedimentary rocks, J Colloid Interface Sci, 368, 558, 10.1016/j.jcis.2011.10.059 Flynn PJ, Jain AK. On reliable curvature estimation. In: Computer vision and pattern recognition. San Diego, CA, USA: IEEE Computer Society; 1989. Taubin G. Estimating the tensor of curvature of a surface from a polyhedral approximation. In: Fifth international conference on computer vision, proceedings; 1995. p. 902–7. Magid, 2007, A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data, Comput Vis Image Understand, 107, 139, 10.1016/j.cviu.2006.09.007 Meyer, 2003, Discrete differential-geometry operators for triangulated 2-manifolds, Visualiz Math Iii, 35, 10.1007/978-3-662-05105-4_2 Rusinkiewicz S. Estimating curvatures and their derivatives on triangle meshes. In: IEEE Proceedings, 2nd international symposium on 3D data processing, visualization and transmission, 3DPVT 2004; 2004. p. 486–93. Chopp, 1993, Flow under curvature: singularity formation, minimal surfaces, and geodesics, Exp Math, 2, 235, 10.1080/10586458.1993.10504566 Flin F, et al. Full three-dimensional modelling of curvature-dependent snow metamorphism: first results and comparison with experimental tomographic data, J Phys D – Appl Phys 2003;36(10A):A49–54. Blunt, 2001, Flow in porous media – pore-network models and multiphase flow, Curr Opin Colloid Interface Sci, 6, 197, 10.1016/S1359-0294(01)00084-X Auzerais, 1996, Transport in sandstone: a study based on three dimensional microtomography, Geophys Res Lett, 23, 705, 10.1029/96GL00776 Shan, 1993, Lattice-Boltzmann model for simulating flows with interparticle interaction, Phys Rev E, 47, 1815, 10.1103/PhysRevE.47.1815 Gunstensen, 1991, Lattice Boltzmann model of immiscible fluids, Phys Rev A, 43, 4320, 10.1103/PhysRevA.43.4320 Tolke, 2002, Lattice Boltzmann simulations of binary fluid flow through porous media, Philos Trans Roy Soc London Ser A – Math Phys Eng Sci, 360, 535, 10.1098/rsta.2001.0944 Prodanovic, 2006, A level set method for determining critical curvatures for drainage and imbibition, J Colloid Interface Sci, 304, 442, 10.1016/j.jcis.2006.08.048 Vogel, 2005, Comparison of a Lattice-Boltzmann model, a full-morphology model, and a pore network model for determining capillary pressure–saturation relationships, Vadose Zone J, 4, 380, 10.2136/vzj2004.0114 Ahrenholz, 2008, Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model, Adv Water Resour, 31, 1151, 10.1016/j.advwatres.2008.03.009 Vogel, 1997, Morphological determination of pore connectivity as a function of pore size using serial sections, Eur J Soil Sci, 48, 365, 10.1046/j.1365-2389.1997.00096.x Baldwin, 1996, Determination and characterization of the structure of a pore space from 3D volume images, J Colloid Interface Sci, 181, 79, 10.1006/jcis.1996.0358 Silin, 2004, Robust determination of the pore-space morphology in sedimentary rocks, J Petrol Technol, 56, 69, 10.2118/0504-0069-JPT Youssef S, et al. Quantitative 3D characterisation of the pore space of real rocks: improved μCT resolution and pore extraction methodology. In: International symposium of the society of core analysts; 2007. p. SCA2007-17. Liang, 2000, Geometric and topological analysis of three-dimensional porous media: pore space partitioning based on morphological skeletonization, J Colloid Interface Sci, 221, 13, 10.1006/jcis.1999.6559 Silin, 2006, Pore space morphology analysis using maximal inscribed spheres, Phys A: Statist Theor Phys, 371, 336, 10.1016/j.physa.2006.04.048 Dong, 2009, Pore-network extraction from micro-computerized-tomography images, Phys Rev E, 80, 56, 10.1103/PhysRevE.80.036307 Monga, 2008, 3D geometric structures and biological activity: application to microbial soil organic matter decomposition in pore space, Ecol Model, 216, 291, 10.1016/j.ecolmodel.2008.04.015 Ngom, 2011, Extraction of three-dimensional soil pore space from microtomography images using a geometrical approach, Geoderma, 163, 127, 10.1016/j.geoderma.2011.04.013 Al-Raoush, 2003, Comparison of network generation techniques for unconsolidated porous media, Soil Sci Soc Am J, 67, 1687, 10.2136/sssaj2003.1687 Dong H et al. Pore network modelling on carbonate: a comparative study of different Micro-CT network extraction methods. In: International symposium of the society of core analysts, Society of Core Analysts; 2008. Oren, 1998, Extending predictive capabilities to network models, SPE J, 3, 324, 10.2118/52052-PA Arns JY et al. Pore-level validation of representative pore networks obtained from micro-ct images. In: The International Symposium of the Society of Core Analysts, Calgary, Canada; 2007. Sholokhova, 2009, Network flow modeling via lattice-Boltzmann based channel conductance, Adv Water Resour, 32, 205, 10.1016/j.advwatres.2008.10.016 Patzek, 2001, Shape factor and hydraulic conductance in noncircular capillaries I. One-phase creeping flow, J Colloid Interface Sci, 236, 295, 10.1006/jcis.2000.7413 Lindquist, 2006, The geometry of primary drainage, J Colloid Interface Sci, 296, 655, 10.1016/j.jcis.2005.09.041 Promentilla, 2010, X-ray microtomography of mortars exposed to freezing-thawing action, J Adv Concrete Technol, 8, 97, 10.3151/jact.8.97 Petrovic, 1982, Soil bulk-density analysis in 3 dimensions by computed tomographic scanning, Soil Sci Soc Am J, 46, 445, 10.2136/sssaj1982.03615995004600030001x Hainsworth, 1983, The use of computer assisted tomography to determine spatial distribution of soil water content, Aust J Soil Res, 21, 435, 10.1071/SR9830435 Crestana, 1985, Static and dynamic three-dimensional studies of water in soil using computed tomographic scanning, Soil Sci, 140, 326, 10.1097/00010694-198511000-00002 Anderson, 1988, Rapid nondestructive bulk-density and soil-water content determination by computed tomography, Soil Sci Soc Am J, 52, 35, 10.2136/sssaj1988.03615995005200010006x Wang, 1984, Reconstruction of oil saturation distribution histories during immiscible liquid–liquid displacement by computer-assisted tomography, AIChE J, 30, 642, 10.1002/aic.690300418 Wellington, 1987, X-ray computerized tomography, J Petrol Technol, 39, 10.2118/16983-PA Hunt, 1988, Computed-tomography as a core analysis tool – applications, instrument evaluation, and image improvement techniques, J Petrol Technol, 40, 1203, 10.2118/16952-PA Vinegar, 1987, Tomographic imaging of three-phase flow experiments, Rev Sci Instrum, 58, 96, 10.1063/1.1139522 Withjack, 1988, Computed tomography for rock-property determination and fluid-flow visualization, SPE Format Evaluat, 3, 696, 10.2118/16951-PA Jasti, 1993, Microscopic imaging of porous-media with X-ray computer-tomography, SPE Format Evaluat, 8, 189, 10.2118/20495-PA Clausnitzer, 2000, Pore-scale measurements of solute breakthrough using microfocus X-ray computed tomography, Water Resour Res, 36, 2067, 10.1029/2000WR900076 Spanne, 1994, Synchrotron computed microtomography of porous media: topology and transports, Phys Rev Lett, 73, 2001, 10.1103/PhysRevLett.73.2001 Coker, 1996, Morphology and physical properties of Fontainebleau sandstone via a tomographic analysis, J Geophys Res, 101, 17497, 10.1029/96JB00811 Coles, 1998, Pore level imaging of fluid transport using synchrotron X-ray microtomography, J Petrol Sci Eng, 19, 55, 10.1016/S0920-4105(97)00035-1 Werth, 2010, A review of non-invasive imaging methods and applications in contaminant hydrogeology research, J Contam Hydrol, 113, 1, 10.1016/j.jconhyd.2010.01.001 Taina, 2008, Application of X-ray computed tomography to soil science. A literature review, Can J Soil Sci, 88, 1, 10.4141/CJSS06027 Seright, 2003, Use of X-ray computed microtomography to understand why gels reduce relative permeability to water more than that to oil, J Petrol Sci Eng, 39, 217, 10.1016/S0920-4105(03)00064-0 Turner, 2004, Three-dimensional imaging of multiphase flow in porous media, Physica A, 339, 166, 10.1016/j.physa.2004.03.059 Wildenschild, 2005, Quantitative analysis of flow processes in a sand using synchrotron-based X-ray microtomography, Vadose Zone J, 4, 112, 10.2113/4.1.112 Al-Raoush, 2005, A pore-scale investigation of a multiphase porous media syste, J Contam Hydrol, 77, 67, 10.1016/j.jconhyd.2004.12.001 Schnaar, 2005, Pore-scale characterization of organic immiscible-liquid morphology in natural porous media using synchrotron X-ray microtomography, Environ Sci Technol, 39, 8403, 10.1021/es0508370 Culligan, 2006, Pore-scale characteristics of multiphase flow in porous media: a comparison of air–water and oil–water experiments, Adv Water Resour, 29, 227, 10.1016/j.advwatres.2005.03.021 Schaap MG et al. Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations. Water Res Res 43(12) (2007). Porter, 2009, Lattice-Boltzmann simulations of the capillary pressure-saturation-interfacial area relationship for porous media, Adv Water Resour, 32, 1632, 10.1016/j.advwatres.2009.08.009 Youssef S et al. Towards a better understanding of multiphase flow in porous media: 3D in-situ fluid distribution imaging at the pore scale. In: International symposium of the society of core analysts held in Noordwijk, The Netherlands 27–30 September, 2009, SCA2009-17; 2009. Karpyn, 2010, Experimental investigation of trapped oil clusters in a water-wet bead pack using X-ray microtomography, Water Resour Res, 46, 10.1029/2008WR007539 Schnaar, 2006, Characterizing pore-scale dissolution of organic immiscible liquid in natural porous media using synchrotron X-ray microtomography, Environ Sci Technol, 40, 6622, 10.1021/es0602851 Al-Raoush, 2009, Impact of wettability on pore-scale characteristics of residual nonaqueous phase liquids, Environ Sci Technol, 43, 4796, 10.1021/es802566s Kumar, 2009 Singh, 2011, Remobilization of residual non-aqueous phase liquid in porous media by freeze−thaw cycles, Environ Sci Technol, 45, 3473, 10.1021/es200151g Armstrong, 2012, Microbial enhanced oil recovery in fractional-wet systems: a pore-scale investigation, Transp Porous Media, 10.1007/s11242-011-9934-3 Reeves, 1996, A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model, Water Resour Res, 32, 2345, 10.1029/96WR01105 Berkowitz, 2001, A numerical study of the distribution of water in partially saturated porous rock, Transp Porous Media, 45, 303, 10.1023/A:1012032723166 Hassanizadeh, 1993, Thermodynamic basis of capillary pressure in porous media, Water Resour Res, 29, 3389, 10.1029/93WR01495 Gray, 1991, Unsaturated flow theory including interfacial phenomena, Water Resour Res, 27, 1855, 10.1029/91WR01260 Brusseau, 2008, Synchrotron X-ray microtomography and interfacial partitioning tracer test measurements of NAPL-water interfacial areas, Water Resour Res, 44, 10.1029/2006WR005517 Brusseau, 2006, Relationships among air-water interfacial area, capillary pressure, and water saturation for a sandy porous medium, Water Resour Res, 42, 10.1029/2005WR004058 Brusseau, 2007, Measuring air−water interfacial areas with X-ray microtomography and interfacial partitioning tracer tests, Environ Sci Technol, 41, 1956, 10.1021/es061474m Narter, 2010, Comparison of interfacial partitioning tracer test and high-resolution microtomography measurements of fluid–fluid interfacial areas for an ideal porous medium, Water Resour Res, 46, 10.1029/2009WR008375 Schnaar, 2006, Characterizing pore-scale configuration of organic immiscible liquid in multiphase systems with synchrotron X-ray microtomography, Vadose Zone J, 5, 641, 10.2136/vzj2005.0063 Costanza-Robinson, 2008, X-ray microtomography determination of air−water interfacial area−water saturation relationships in sandy porous media, Environ Sci Technol, 42, 2949, 10.1021/es072080d Costanza-Robinson, 2011, Representative elementary volume estimation for porosity, moisture saturation, and air–water interfacial areas in unsaturated porous media: data quality implications, Water Resour Res, 47, 10.1029/2010WR009655 Han, 2006, Virus retention and transport in chemically heterogeneous porous media under saturated and unsaturated flow conditions, Environ Sci Technol, 40, 1547, 10.1021/es051351m Kumar M, et al. Imaging of pore scale distribution of fluids and wettability. In: International symposium of the society of core analysts, SCA2008-16; 2008. Landry, 2011, Pore-scale analysis of trapped immiscible fluid structures and fluid interfacial areas in oil-wet and water-wet bead packs, Geofluids, 11, 209, 10.1111/j.1468-8123.2011.00333.x Carminati, 2008, Unsaturated water flow across soil aggregate contacts, Adv Water Resour, 31, 1221, 10.1016/j.advwatres.2008.01.008 Kaestner, 2008, Imaging and image processing in porous media research, Adv Water Resour, 31, 1174, 10.1016/j.advwatres.2008.01.022 Tippkötter, 2009, Detection of soil water in macropores of undisturbed soil using microfocus X-ray tube computerized tomography (μCT), Soil Tillage Res, 105, 12, 10.1016/j.still.2009.05.001 Alvarado FE et al. Visualization of the three phases in porous media using micro computed tomography. In: Proceedings of the 2003 international symposium of the society of core analysts meeting, Pau, France, SCA2003-21; 2003. Brown KI et al. Interfacial area measurements for robust models of multiphase flow in porous media.In International Goldschmidt conference, August 14–19, 2011 in Prague, Czech Republic; 2011. Nunan, 2006, Investigating microbial micro-habitat structure using X-ray computed tomography, Geoderma, 133, 398, 10.1016/j.geoderma.2005.08.004 Thieme, 2003, X-ray tomography of a microhabitat of bacteria and other soil colloids with sub-100 nm resolution, Micron, 34, 339, 10.1016/S0968-4328(03)00061-1 Altman, 2005, Evaluation of synchrotron X-ray computerized microtomography for the visualization of transport processes in low-porosity materials, J Contam Hydrol, 78, 167, 10.1016/j.jconhyd.2005.05.004 Cai, 2009, Tomographic analysis of reactive flow induced pore structure changes in column experiments, Adv Water Resour, 32, 1396, 10.1016/j.advwatres.2009.06.006 Noiriel, 2005, Hydraulic properties and microgeometry evolution accompanying limestone dissolution by acidic water, Oil Gas Sci Technol, 60, 177, 10.2516/ogst:2005011 Noiriel, 2009, Changes in reactive surface area during limestone dissolution: an experimental and modelling study, Chem Geol, 265, 160, 10.1016/j.chemgeo.2009.01.032 Luquot, 2009, Experimental determination of porosity and permeability changes induced by injection of CO2 into carbonate rocks, Chem Geol, 265, 148, 10.1016/j.chemgeo.2009.03.028 Flukiger, 2009, A new numerical model for pore scale dissolution of calcite due to CO2 saturated water flow in 3D realistic geometry: principles and first results, Chem Geol, 265, 171, 10.1016/j.chemgeo.2009.05.004 Gouze, 2011, X-ray microtomography characterization of porosity, permeability and reactive surface changes during dissolution, J Contamin Hydrol, 120, 45, 10.1016/j.jconhyd.2010.07.004 Armstrong R, Ajo-Franklin J. Investigating biomineralization using synchrotron based X-ray computed microtomography. Geophys Res Lett 2011;38(L08406). Li, 2006, Pore-scale observation of microsphere deposition at grain-to-grain contacts over assemblage-scale porous media domains using X-ray microtomography, Environ Sci Technol, 40, 3762, 10.1021/es0525004 Chen C, Packman AI, Gaillard JF. Using X-ray micro-tomography and pore-scale modeling to quantify sediment mixing and fluid flow in a developing streambed. Geophys Res Lett 2009; 36(8). Chen C et al. A multi-scale investigation of interfacial transport, pore fluid flow, and fine particle deposition in a sediment bed. Water Resour Res 2010;46(11). Hansel, 2001, Characterization of Fe plaque and associated metals on the roots of mine-waste impacted aquatic plants, Environ Sci Technol, 35, 3863, 10.1021/es0105459 Hansel, 2002, Spatial and temporal association of As and Fe species on aquatic plant roots, Environ Sci Technol, 36, 1988, 10.1021/es015647d Keon NE et al. Combined XAS and chemical extraction investigation of arsenic distribution in sediment phases and in cattail roots. Abstracts of Papers of the American Chemical Society, 223: p. 127-GEOC; 2002. Blute, 2004, Arsenic sequestration by ferric iron plaque on cattail roots, Environ Sci Technol, 38, 6074, 10.1021/es049448g Lombi, 2011, Fast X-ray fluorescence microtomography of hydrated biological samples, PLoS ONE, 6, 10.1371/journal.pone.0020626 Katsevich A. Theoretically exact filtered backprojection-type inversion algorithm for spiral CT. SIAM J Appl Math 2002; 2012–2026.