Micro- and macro-scale water retention properties of granular soils: contribution of the X-Ray CT-based voxel percolation method
Erika Shiota![https://orcid.org/0000-0002-5823-7794](/media/client/orcid_16x16.png)
![https://orcid.org/0000-0003-1062-4303](/media/client/orcid_16x16.png)
A Graduate school of Science and Technology, Kumamoto University, Japan.
B X-Earth Center, Faculty of Advanced Science and Technology, Kumamoto University, Japan.
C Université Grenoble Alpes, CNRS, IRD, Grenoble-INP, IGE, F-38000 Grenoble, France.
D Université de Lorraine, CNRS, CREGU, GeoRessources, F-54000 Nancy, France.
E Corresponding author. Email: 171d9401@st.kumamoto-u.ac.jp
Soil Research 57(6) 575-588 https://doi.org/10.1071/SR18179
Submitted: 4 July 2018 Accepted: 5 December 2018 Published: 7 February 2019
Abstract
Water retention in granular soils is a key mechanism for understanding transport processes in the vadose zone for various applications from agronomy to hydrological and environmental sciences. The macroscopic pattern of water entrapment is mainly driven by the pore-scale morphology and capillary and gravity forces. In the present study, the drainage water retention curve (WRC) was measured for three different granular materials using a miniaturised hanging column apparatus. The samples were scanned using X-ray micro-computed tomography during the experiment. A segmentation procedure was applied to identify air, water and solid phases in 3D at the pore-scale. A representative elementary volume analysis based on volume and surface properties validated the experimental setup size. A morphological approach, the voxel percolation method (VPM) was used to model the drainage experiment under the assumption of capillary-dominated quasi-static flow. At the macro-scale, the VPM showed a good capability to predict the WRC when compared with direct experimental measurements. An in-depth comparison with image data also revealed a satisfactory agreement concerning both the average volumetric distributions and the pore-scale local topology. Image voxelisation and the quasi-static assumption of VPM are likely to explain minor discrepancies observed at low suctions and for coarser materials.
Additional keywords: hanging column experiment, marker-controlled watershed, representative element volume, voxel percolation method.
References
Abramoff MD, Magelhaes PJ, Ram SJ (2004) Image processing with ImageJ. Biophotonics International 11, 36–42.Al-Raoush RI, Willson CS (2005) A pore-scale investigation of a multiphase porous media system. Journal of Contaminant Hydrology 77, 67–89.
| A pore-scale investigation of a multiphase porous media system.Crossref | GoogleScholarGoogle Scholar | 15722173PubMed |
Andrew M, Bijeljic B, Blunt MJ (2014) Pore-scale contact angle measurements at reservoir conditions using X-ray microtomography. Advances in Water Resources 68, 24–31.
| Pore-scale contact angle measurements at reservoir conditions using X-ray microtomography.Crossref | GoogleScholarGoogle Scholar |
Armstrong RT, Porter ML, Wildenschild D (2012) Linking pore-scale interfacial curvature to column-scale capillary pressure. Advances in Water Resources 46, 55–62.
| Linking pore-scale interfacial curvature to column-scale capillary pressure.Crossref | GoogleScholarGoogle Scholar |
Armstrong RT, McClure JE, Berrill MA, Rücker M, Schlüter S, Berg S (2016) Beyond Darcy’s law: the role of phase topology and ganglion dynamics for two-fluid flow. Physical Review. E 94, 043113
| Beyond Darcy’s law: the role of phase topology and ganglion dynamics for two-fluid flow.Crossref | GoogleScholarGoogle Scholar | 27841482PubMed |
Berg S, Rücker M, Ott H, Georgiadis A, van der Linde H, Enzmann F, Kersten M, Armstrong RT, de With S, Becker J, Wiegmann A (2016) Connected pathway relative permeability from pore-scale imaging of imbibition. Advances in Water Resources 90, 24–35.
| Connected pathway relative permeability from pore-scale imaging of imbibition.Crossref | GoogleScholarGoogle Scholar |
Berg S, Sexana N, Shaik M, Phadhan C (2018) Generation of ground truth images to validate micro-CT image-processing pipelines. The Leading Edge 37, 412–420.
| Generation of ground truth images to validate micro-CT image-processing pipelines.Crossref | GoogleScholarGoogle Scholar |
Bird NRA, Dexter AR (1997) Simulation of soil water retention using random fractal networks. European Journal of Soil Science 48, 633–641.
| Simulation of soil water retention using random fractal networks.Crossref | GoogleScholarGoogle Scholar |
Blunt JM, Bijeljic B, Dong H, Gharbi O, Iglauer S, Mostaghimi P, Paluszny A, Pentland C (2013) Pore-scale imaging and modeling. Advances in Water Resources 51, 197–216.
| Pore-scale imaging and modeling.Crossref | GoogleScholarGoogle Scholar |
Ciocca F, Lunati I, Parlange MB (2014) Effects of the water retention curve on evaporation from arid soils. Geophysical Research Letters 41, 3110–3116.
| Effects of the water retention curve on evaporation from arid soils.Crossref | GoogleScholarGoogle Scholar |
Cnudde V, Boone MN (2013) High-resolution X-ray computed tomography in geosciences: a review of the current technology and applications. Earth-Science Reviews 123, 1–17.
| High-resolution X-ray computed tomography in geosciences: a review of the current technology and applications.Crossref | GoogleScholarGoogle Scholar |
Costanza‐Robinson MS, Estabrook BD, Fouhey DF (2011) Representative elementary volume estimation for porosity, moisture saturation, and air‐water interfacial areas in unsaturated porous media: data quality implications. Water Resources Research 47, W07513
| Representative elementary volume estimation for porosity, moisture saturation, and air‐water interfacial areas in unsaturated porous media: data quality implications.Crossref | GoogleScholarGoogle Scholar |
Couvreur V, Vanderborght J, Draye X, Javaux M (2014) Dynamic aspects of soil water availability for isohydric plants: focus on root hydraulic resistances. Water Resources Research 50, 8891–8906.
| Dynamic aspects of soil water availability for isohydric plants: focus on root hydraulic resistances.Crossref | GoogleScholarGoogle Scholar |
Ethington EF (1990) Interfacial contact angle measurements of water, mercury, and 20 organic liquids on quartz, calcite, biotite, and Ca-montmorillonite substrates (No. 90–409). US Geological Survey.
Georgiadis A, Berg S, Makurat A, Maitland G, Ott H (2013) Pore-scale micro-computed-tomography imaging: nonwetting-phase cluster-size distribution during drainage and imbibition. Physical Review. E 88, 033002
| Pore-scale micro-computed-tomography imaging: nonwetting-phase cluster-size distribution during drainage and imbibition.Crossref | GoogleScholarGoogle Scholar |
Hamamoto S, Moldrup P, Kawamoto K, Sakaki T, Nishimura T, Komatsu T (2016) Pore network structure linked by X-ray CT to particle characteristics and transport parameters. Soil and Foundation 56, 676–690.
| Pore network structure linked by X-ray CT to particle characteristics and transport parameters.Crossref | GoogleScholarGoogle Scholar |
Hashemi MA, Khaddour G, Francois B, Massart JT, Salager S (2014) A tomographic imagery segmentation methodology for three-phase geomaterials based on simultaneous region growing. Acta Geotechnica 9, 831–846.
| A tomographic imagery segmentation methodology for three-phase geomaterials based on simultaneous region growing.Crossref | GoogleScholarGoogle Scholar |
Hilpert M, Miller CT (2001) Pore-morphology-based simulation of drainage in totally wetting porous media. Advances in Water Resources 24, 243–255.
| Pore-morphology-based simulation of drainage in totally wetting porous media.Crossref | GoogleScholarGoogle Scholar |
Imhoff S, Pires da Silva A, Ghiberto PJ, Tormena CA, Pilatti MA, Libardi PL (2016) Physical quality indicators and mechanical behavior of agricultural soils of Argentina. PLoS One 11, e0153827
| Physical quality indicators and mechanical behavior of agricultural soils of Argentina.Crossref | GoogleScholarGoogle Scholar | 27099925PubMed |
Legland D, Kieu K, Devaux MF (2011) Computation of Minkowski measures on 2D and 3D binary images. Image Analysis & Stereology 26, 83–92.
| Computation of Minkowski measures on 2D and 3D binary images.Crossref | GoogleScholarGoogle Scholar |
Lehmann G, Legland D (2012) Efficient N-dimensional surface estimation using Crofton formula and run-length encoding. The Insight Journal. Available at: http://hdl.handle.net/10380/3342 [verified 20 December 2018].
Leu L, Berg S, Enzmann F, Armstrong TR, Kersten M (2014) Fast X-ray micro-tomography of multiphase flow in Berea sandstone: a sensitivity study on image processing. Transport in Porous Media 105, 451–469.
| Fast X-ray micro-tomography of multiphase flow in Berea sandstone: a sensitivity study on image processing.Crossref | GoogleScholarGoogle Scholar |
Manahiloh KN, Meehan CL (2017) Determining the soil water characteristic curve and interfacial contact angle from microstructural analysis of X-ray CT images. Journal of Geotechnical and Geoenvironmental Engineering 143, 04017034
| Determining the soil water characteristic curve and interfacial contact angle from microstructural analysis of X-ray CT images.Crossref | GoogleScholarGoogle Scholar |
McClure JE, Armstrong RT, Berrill MA, Schlüter S, Berg S, Gray WG, Miller CT (2018) A geometric state function for two-fluid flow in porous media. Physical Review Fluids 3, 084306
| A geometric state function for two-fluid flow in porous media.Crossref | GoogleScholarGoogle Scholar |
Mukunoki T, Miyata Y, Mikami K, Shiota E (2016) X-ray CT analysis of pore structure in sand. Solid Earth 7, 929–942.
| X-ray CT analysis of pore structure in sand.Crossref | GoogleScholarGoogle Scholar |
Raeini AQ, Blunt MJ, Bijeljic B (2014) Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces. Advances in Water Resources 74, 116–126.
| Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces.Crossref | GoogleScholarGoogle Scholar |
Santalo LA (2004) ‘Integral geometry and geometric probability.’ (Cambridge university press)
Saxena N, Hofmann R, Alpark OF, Dietderich J, Hunter S, Day-Stirrat JR (2017) Effect of image segmentation & voxel size on micro-CT computed effective transport & elastic properties. Marine and Petroleum Geology 86, 972–990.
| Effect of image segmentation & voxel size on micro-CT computed effective transport & elastic properties.Crossref | GoogleScholarGoogle Scholar |
Schlüter S, Sheppard A, Brown K, Whildenschild D (2014) Image processing of multiphase images obtained via X-ray microtomography: a review. Water Resources Research 50, 3615–3639.
| Image processing of multiphase images obtained via X-ray microtomography: a review.Crossref | GoogleScholarGoogle Scholar |
Schneider CA, Rasband WS, Eliceiri KW (2012) NIH Image to ImageJ: 25 years of image analysis. Nature Methods 9, 671–675.
| NIH Image to ImageJ: 25 years of image analysis.Crossref | GoogleScholarGoogle Scholar | 22930834PubMed |
Šimůnek J, van Genuchten MT (2016) Contaminant transport in the unsaturated zone: theory and modeling. In ‘The handbook of groundwater engineering’. 3rd edn. (Eds J Cushman, D Tartakovsky) pp. 221–254. (CRC Press: Boca Raton, FL).
Soille P (2002) ‘Morphological image analysis: principles and applications.’ (Springer-Verlag: Berlin)
Tamura T (2002) ‘Konpyuta gazoushori [Computer image processing]’ (Ohmsha. Japan) (in Japanese)
Vogel HJ, Tolke J, Schulz VP, Krafczyk M, Roth K (2005) Comparison of a lattice-Boltzmann model, a full-morphology model, and a pore network model for determining capillary pressure–saturation relationships. Vadose Zone Journal 4, 380–388.
| Comparison of a lattice-Boltzmann model, a full-morphology model, and a pore network model for determining capillary pressure–saturation relationships.Crossref | GoogleScholarGoogle Scholar |
Wildenschild D, Sheppard AP (2013) X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems. Advances in Water Resources 51, 217–246.
| X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems.Crossref | GoogleScholarGoogle Scholar |
Xu K, Daian JF, Quenard D (1997) Multiscale structures to describe porous media part I: theoretical background and invasion by fluids. Transport in Porous Media 26, 51–73.
| Multiscale structures to describe porous media part I: theoretical background and invasion by fluids.Crossref | GoogleScholarGoogle Scholar |
Yuan C, Chareyre B, Darve F (2016) Pore-scale simulations of drainage in granular materials: finite size effects and the representative elementary volume. Advances in Water Resources 95, 109–124.
| Pore-scale simulations of drainage in granular materials: finite size effects and the representative elementary volume.Crossref | GoogleScholarGoogle Scholar |
Zhang D, Zhang R, Chen S, Soll WE (2000) Pore scale study of flow in porous media: scale dependency, REV and statistical REV. Geophysical Research Letters 27, 1195–1198.
| Pore scale study of flow in porous media: scale dependency, REV and statistical REV.Crossref | GoogleScholarGoogle Scholar |