X‐ray Microtomography of Intermittency in Multiphase Flow at Steady State Using a Differential Imaging Method

Abstract We imaged the steady state flow of brine and decane in Bentheimer sandstone. We devised an experimental method based on differential imaging to examine how flow rate impacts impact the pore‐scale distribution of fluids during coinjection. This allows us to elucidate flow regimes (connected, or breakup of the nonwetting phase pathways) for a range of fractional flows at two capillary numbers, Ca, namely 3.0 × 10−7 and 7.5 × 10−6. At the lower Ca, for a fixed fractional flow, the two phases appear to flow in connected unchanging subnetworks of the pore space, consistent with conventional theory. At the higher Ca, we observed that a significant fraction of the pore space contained sometimes oil and sometimes brine during the 1 h scan: this intermittent occupancy, which was interpreted as regions of the pore space that contained both fluid phases for some time, is necessary to explain the flow and dynamic connectivity of the oil phase; pathways of always oil‐filled portions of the void space did not span the core. This phase was segmented from the differential image between the 30 wt % KI brine image and the scans taken at each fractional flow. Using the grey scale histogram distribution of the raw images, the oil proportion in the intermittent phase was calculated. The pressure drops at each fractional flow at low and high flow rates were measured by high‐precision differential pressure sensors. The relative permeabilities and fractional flow obtained by our experiment at the mm‐scale compare well with data from the literature on cm‐scale samples.

[1]  Martin J. Blunt,et al.  The Imaging of Dynamic Multiphase Fluid Flow Using Synchrotron-Based X-ray Microtomography at Reservoir Conditions , 2015, Transport in Porous Media.

[2]  Eirik Grude Flekkøy,et al.  Steady-state two-phase flow in porous media: statistics and transport properties. , 2009, Physical review letters.

[3]  S. Bachu Screening and ranking of sedimentary basins for sequestration of CO2 in geological media in response to climate change , 2003 .

[4]  Martin J. Blunt,et al.  Multiphase Flow in Permeable Media: A Pore-Scale Perspective , 2017 .

[5]  Samuel Krevor,et al.  Dynamic fluid connectivity during steady-state multiphase flow in a sandstone , 2017, Proceedings of the National Academy of Sciences.

[6]  R. Armstrong,et al.  Critical capillary number: Desaturation studied with fast X‐ray computed microtomography , 2014 .

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

[8]  Frieder Enzmann,et al.  Connected pathway relative permeability from pore-scale imaging of imbibition , 2016 .

[9]  Alkiviades C. Payatakes,et al.  Dynamics of Oil Ganglia During Immiscible Displacement in Water-Wet Porous Media , 1982 .

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

[11]  Wilhelm Burger,et al.  Digital Image Processing - An Algorithmic Introduction using Java , 2016, Texts in Computer Science.

[12]  J. Seymour,et al.  Effective Rheology of Two-Phase Flow in Three-Dimensional Porous Media: Experiment and Simulation , 2016, Transport in Porous Media.

[13]  Martin J. Blunt,et al.  Reservoir condition imaging of reactive transport in heterogeneous carbonates using fast synchrotron tomography - effect of initial pore structure and flow conditions , 2016 .

[14]  Stig Bakke,et al.  Extending Predictive Capabilities to Network Models , 1998 .

[15]  Martin J Blunt,et al.  Reaction Rates in Chemically Heterogeneous Rock: Coupled Impact of Structure and Flow Properties Studied by X-ray Microtomography. , 2017, Environmental science & technology.

[16]  Jill S. Buckley,et al.  Improved Oil Recovery by Low-Salinity Waterflooding , 2011 .

[17]  J. M. Andreas,et al.  BOUNDARY TENSION BY PENDANT DROPS1 , 1937 .

[18]  M. Blunt,et al.  Microstructural imaging and characterization of oil shale before and after pyrolysis , 2017 .

[19]  M. Piri,et al.  The effect of saturation history on three‐phase relative permeability: An experimental study , 2014 .

[20]  Christoph H. Arns,et al.  Pore-Scale Characterization of Two-Phase Flow Using Integral Geometry , 2017, Transport in Porous Media.

[21]  J. McClure,et al.  Beyond Darcy's law: The role of phase topology and ganglion dynamics for two-fluid flow. , 2016, Physical review. E.

[22]  D. Weitz,et al.  Fluid breakup during simultaneous two-phase flow through a three-dimensional porous medium , 2014, 1406.7045.

[23]  R. Hilfer,et al.  Differential porosimetry and permeametry for random porous media. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Irini Djeran-Maigre,et al.  Shear modulus and damping ratio of grouted sand , 2004 .

[25]  S. Krevor,et al.  Characterizing flow behavior for gas injection: Relative permeability of CO2‐brine and N2‐water in heterogeneous rocks , 2015 .

[26]  Alexander G. Schwing,et al.  From connected pathway flow to ganglion dynamics , 2015 .

[27]  J. Parker Multiphase flow and transport in porous media , 1989 .

[28]  Martin J. Blunt,et al.  Quantification of sub-resolution porosity in carbonate rocks by applying high-salinity contrast brine using X-ray microtomography differential imaging , 2016 .

[29]  Jean-Michel Morel,et al.  Nonlocal Image and Movie Denoising , 2008, International Journal of Computer Vision.

[30]  Sebastian Geiger,et al.  Droplet fragmentation: 3D imaging of a previously unidentified pore-scale process during multiphase flow in porous media , 2015, Proceedings of the National Academy of Sciences.

[31]  Christoph Rau,et al.  Dynamics of snap-off and pore-filling events during two-phase fluid flow in permeable media , 2017, Scientific Reports.

[32]  Martin J. Blunt,et al.  Visualization and quantification of capillary drainage in the pore space of laminated sandstone by a porous plate method using differential imaging X‐ray microtomography , 2017 .

[33]  Dorthe Wildenschild,et al.  Effect of fluid topology on residual nonwetting phase trapping: Implications for geologic CO 2 sequestration , 2013 .

[34]  Alkiviades C. Payatakes,et al.  Flow regimes and relative permeabilities during steady-state two-phase flow in porous media , 1995, Journal of Fluid Mechanics.

[35]  Martin J. Blunt,et al.  Pore‐scale imaging of geological carbon dioxide storage under in situ conditions , 2013 .

[36]  A. Georgiadis,et al.  Pore-scale micro-computed-tomography imaging: nonwetting-phase cluster-size distribution during drainage and imbibition. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  Christoph H. Arns,et al.  Relative Permeability from Tomographic Images: Effect of Correlated Heterogeneity , 2003 .

[38]  D. Wildenschild,et al.  Time scales of relaxation dynamics during transient conditions in two‐phase flow , 2017 .

[39]  Catriona Reynolds Two-phase flow behaviour and relative permeability between CO2 and brine in sandstones at the pore and core scales , 2016 .

[40]  R. Armstrong,et al.  The fate of oil clusters during fractional flow: trajectories in the saturation-capillary number space , 2015 .

[41]  C. E. Stauffer The Measurement of Surface Tension by the Pendant Drop Technique , 1965 .

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

[43]  E. Flekkøy,et al.  Steady-state, simultaneous two-phase flow in porous media: an experimental study. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[44]  Jean-Michel Morel,et al.  A non-local algorithm for image denoising , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[45]  John C. Calhoun,et al.  Visual Examinations of Fluid Behavior in Porous Media - Part I , 1952 .

[46]  Rudolf Hilfer,et al.  Dimensional analysis of pore scale and field scale immiscible displacement , 1996 .

[47]  D. Weitz,et al.  Mobilization of a trapped non-wetting fluid from a three-dimensional porous medium , 2014, 1402.6991.