Magnetic resonance imaging of granular materials.

Magnetic Resonance Imaging (MRI) has become one of the most important tools to screen humans in medicine; virtually every modern hospital is equipped with a Nuclear Magnetic Resonance (NMR) tomograph. The potential of NMR in 3D imaging tasks is by far greater, but there is only "a handful" of MRI studies of particulate matter. The method is expensive, time-consuming, and requires a deep understanding of pulse sequences, signal acquisition, and processing. We give a short introduction into the physical principles of this imaging technique, describe its advantages and limitations for the screening of granular matter, and present a number of examples of different application purposes, from the exploration of granular packing, via the detection of flow and particle diffusion, to real dynamic measurements. Probably, X-ray computed tomography is preferable in most applications, but fast imaging of single slices with modern MRI techniques is unmatched, and the additional opportunity to retrieve spatially resolved flow and diffusion profiles without particle tracking is a unique feature.

[1]  E. Purcell,et al.  Resonance Absorption by Nuclear Magnetic Moments in a Solid , 1946 .

[2]  D Matthaei,et al.  1H NMR chemical shift selective (CHESS) imaging. , 1985, Physics in medicine and biology.

[3]  R. Bammer.  Basic principles of diffusion-weighted imaging. , 2003, European journal of radiology.

[4]  G. Hounsfield.  Computerized transverse axial scanning (tomography): Part I. Description of system. 1973. , 1973, The British journal of radiology.

[5]  Chao Huan,et al.  NMR experiments on a three-dimensional vibrofluidized granular medium. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  J. Ardenkjær-Larsen,et al.  Increase in signal-to-noise ratio of > 10,000 times in liquid-state NMR , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Arvind Caprihan,et al.  Magnetic resonance imaging of vibrating granular beds by spatial scanning , 1997 .

[8]  M. Shattuck,et al.  Pattern formation during mixing and segregation of flowing granular materials , 1996 .

[9]  C. A. Baldwin,et al.  Determination and Characterization of the Structure of a Pore Space from 3D Volume Images , 1996 .

[10]  A link between short-range and long-range properties of random sphere packings , 2013 .

[11]  M. Nakagawa,et al.  Shape dynamics of interfacial front in rotating cylinders , 1998, cond-mat/9806067.

[12]  Lisa Ann Mondy,et al.  Experimental observations of particle migration in concentrated suspensions: Couette flow , 1991 .

[13]  B. Blümich,et al.  Magnetic Resonance Visualisation of Flow and Pore Structure in Packed Beds with Low Aspect Ratio , 2005 .

[14]  Ross William Mair,et al.  Study of gas-fluidization dynamics with laser-polarized 129Xe. , 2005, Magnetic resonance imaging.

[15]  Andrew J Sederman,et al.  Recent advances in flow MRI. , 2013, Journal of magnetic resonance.

[16]  J. D. BERNAL,et al.  Packing of Spheres: Co-ordination of Randomly Packed Spheres , 1960, Nature.

[17]  P. Jezzard,et al.  Correction for geometric distortion in echo planar images from B0 field variations , 1995, Magnetic resonance in medicine.

[18]  Subdiffusive axial transport of granular materials in a long drum mixer. , 2004, Physical review letters.

[19]  Knight,et al.  Vibration-induced size separation in granular media: The convection connection. , 1993, Physical review letters.

[20]  Particle Motion in Two‐ and Three‐Phase Fluidized‐Bed Reactors Determined by Pulsed Field Gradient Nuclear Magnetic Resonance , 2015 .

[21]  Nuclear magnetic resonance measurements of velocity distributions in an ultrasonically vibrated granular bed , 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[22]  James Kakalios,et al.  Bulk Segregation in Rotated Granular Material Measured by Magnetic Resonance Imaging , 1997 .

[23]  Paul C. Lauterbur,et al.  Magnetic resonance zeugmatography , 1974 .

[24]  J. S. Dennis,et al.  A comparison of magnetic resonance imaging and electrical capacitance tomography: An air jet through a bed of particles , 2012 .

[25]  Lynn F. Gladden,et al.  Magnetic Resonance Imaging of fluidized beds , 2008 .

[26]  Heinrich M. Jaeger,et al.  Signatures of granular microstructure in dense shear flows , 2000, Nature.

[27]  A. Haase.  FLASH MR imaging: a success story since 25 years. , 2011, Journal of magnetic resonance.

[28]  Wolfgang Losert,et al.  Invited Article: Refractive index matched scanning of dense granular materials. , 2012, The Review of scientific instruments.

[29]  W. W. Hansen,et al.  Nuclear Induction , 2011 .

[30]  R. Damadian.  Tumor Detection by Nuclear Magnetic Resonance , 1971, Science.

[31]  Yassir Makkawi,et al.  Fluidization regimes in a conventional fluidized bed characterized by means of electrical capacitance tomography , 2002 .

[32]  Eiichi Fukushima,et al.  Nuclear magnetic resonance as a tool to study flow , 1999 .

[33]  Geoff P. Delaney,et al.  Tomographic analysis of jammed ellipsoid packings , 2013 .

[34]  T. Unger,et al.  Reflection and exclusion of shear zones in inhomogeneous granular materials , 2011, 1108.3449.

[35]  Andrew J Sederman,et al.  Segregation in horizontal rotating cylinders using magnetic resonance imaging. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  Magnetic resonance imaging (MRI) of jet height hysteresis in packed beds , 2014 .

[37]  T. Hales.  The Kepler conjecture , 1998, math/9811078.

[38]  Lynn F. Gladden,et al.  Application of magnetic resonance imaging techniques to particulate systems , 2007 .

[39]  P. Fennell,et al.  Rise velocities of bubbles and slugs in gas-fluidised beds : Ultra-fast magnetic resonance imaging , 2007 .

[40]  Michael J. McCarthy,et al.  Hindered settling of rod‐like particles measured with magnetic resonance imaging , 1995 .

[41]  M. Nakagawa,et al.  Non-invasive measurements of granular flows by magnetic resonance imaging , 1993 .

[42]  Chen Li,et al.  Undulatory Swimming in Sand: Subsurface Locomotion of the Sandfish Lizard , 2009, Science.

[43]  L. Gladden.  Magnetic resonance in reaction engineering: beyond spectroscopy , 2013 .

[44]  B. Blümich,et al.  Application of k- and q-space encoding NMR techniques on granular media in a 3D model fluidized bed reactor. , 2006, Journal of magnetic resonance.

[45]  D. Mari,et al.  High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings , 2015 .

[46]  E. Fukushima,et al.  Granular Flow Studies by NMR: a Chronology , 2001, Adv. Complex Syst..

[47]  Masami Nakagawa,et al.  Powders and Grains 2009 , 2009 .

[48]  A J Sederman,et al.  Real-time measurement of bubbling phenomena in a three-dimensional gas-fluidized bed using ultrafast magnetic resonance imaging. , 2006, Physical review letters.

[49]  Lisa Ann Mondy,et al.  Nuclear magnetic resonance imaging of particle migration in suspensions undergoing extrusion , 1997 .

[50]  Y. Tsuji,et al.  MRI Measurement of Particle Velocity in Spouted Bed , 2007 .

[51]  A. Haase,et al.  FLASH imaging: rapid NMR imaging using low flip-angle pulses. 1986. , 1986, Journal of magnetic resonance.

[52]  C. Müller,et al.  A Magnetic Resonance Imaging (MRI) Study of the Formation and Interaction of Spouts and Jets , 2013 .

[53]  Philippe Coussot,et al.  Some Applications of Magnetic Resonance Imaging in Fluid Mechanics: Complex Flows and Complex Fluids , 2008 .

[54]  Masami Nakagawa,et al.  NMRI study: asial migration of radially segregated core of granular mixtures in a horizontal rotating cylinder , 1997 .

[55]  G S Karczmar,et al.  Granular Convection Observed by Magnetic Resonance Imaging , 1995, Science.

[56]  W. W. Hansen,et al.  The Nuclear Induction Experiment , 1946 .

[57]  S. Altobelli,et al.  Note: NMR imaging of shear‐induced diffusion and structure in concentrated suspensions undergoing Couette flow , 1991 .

[58]  A. Voigt,et al.  Coarsening of axial segregation patterns of slurries in a horizontally rotating drum. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[59]  G. D. Scott,et al.  Radial Distribution of the Random Close Packing of Equal Spheres , 1962, Nature.

[60]  B. Leclerc,et al.  Magnetic resonance imaging investigation of the mixing-segregation process in a pharmaceutical blender. , 2001, International journal of pharmaceutics.

[61]  J Hennig,et al.  RARE imaging: A fast imaging method for clinical MR , 1986, Magnetic resonance in medicine.

[62]  Lawrence L. Wald,et al.  Automatic cortical surface reconstruction of high-resolution T 1 echo planar imaging data , 2016, NeuroImage.

[63]  P. Mansfield.  Multi-planar image formation using NMR spin echoes , 1977 .

[64]  James Kakalios,et al.  Axial segregation of granular media rotated in a drum mixer: Pattern evolution , 1997 .

[65]  P. Callaghan.  Rheo-NMR and velocity imaging , 2006 .

[66]  G M Bydder,et al.  MR Imaging: Clinical Use of the Inversion Recovery Sequence , 1985, Journal of computer assisted tomography.

[67]  Ralf Stannarius,et al.  Axial and radial segregation of granular mixtures in a rotating spherical container. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[68]  P. Marchal,et al.  Vibration-induced compaction of granular suspensions , 2015, The European physical journal. E, Soft matter.

[69]  F. Stillinger,et al.  Improving the Density of Jammed Disordered Packings Using Ellipsoids , 2004, Science.

[70]  P. Grenier,et al.  MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. , 1986, Radiology.

[71]  I. Rabi,et al.  A New Method of Measuring Nuclear Magnetic Moment , 1938 .

[72]  K. Liffman,et al.  Measurement of particle motions within tumbling granular flows. , 1999, Chaos.

[73]  B. J. Scheper,et al.  Understanding and exploiting competing segregation mechanisms in horizontally rotated granular media , 2016 .

[74]  F. Angenstein,et al.  Diffusive and subdiffusive axial transport of granular material in rotating mixers. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[75]  R L DeLaPaz,et al.  Echo-planar imaging. , 1994, Radiographics : a review publication of the Radiological Society of North America, Inc.

[76]  C. Müller,et al.  Multi-scale magnetic resonance measurements and validation of Discrete Element Model simulations , 2011 .

[77]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[78]  L. Hall,et al.  Rapid MRI and velocimetry of cylindrical Couette flow. , 1998, Magnetic resonance imaging.

[79]  Masami Nakagawa,et al.  Steady particulate flows in a horizontal rotating cylinder , 1998 .

[80]  Lynn F. Gladden,et al.  Applications of nuclear magnetic resonance imaging in process engineering , 1996 .

[81]  Lynn F. Gladden,et al.  A study of the mixing of solids in gas-fluidized beds, using ultra-fast MRI , 2005 .

[82]  D. Twieg.  The k-trajectory formulation of the NMR imaging process with applications in analysis and synthesis of imaging methods. , 1983, Medical physics.

[83]  Knight,et al.  Experimental study of granular convection. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[84]  Eiichi Fukushima,et al.  Velocity and concentration measurements of suspensions by nuclear magnetic resonance imaging , 1991 .

[85]  Pierre Evesque,et al.  Dynamics of size segregation and mixing of granular materials in a 3D-blender by NMR imaging investigation , 2004 .

[86]  T. Walker,et al.  Spin-exchange optical pumping of noble-gas nuclei , 1997 .

[87]  MRI investigation of granular interface rheology using a new cylinder shear apparatus. , 2009, Magnetic resonance imaging.

[88]  Uwe Hampel,et al.  Ultrafast cross‐sectional imaging of gas‐particle flow in a fluidized bed , 2009 .

[89]  T Aste,et al.  Geometrical structure of disordered sphere packings. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[90]  Sidney R Nagel,et al.  Three-dimensional shear in granular flow. , 2006, Physical review letters.

[91]  P. Jakob,et al.  Investigating the Locomotion of the Sandfish in Desert Sand Using NMR-Imaging , 2008, PloS one.

[92]  P. Umbanhowar,et al.  Mechanical models of sandfish locomotion reveal principles of high performance subsurface sand-swimming , 2011, Journal of The Royal Society Interface.

[93]  M. S. Beck,et al.  Capacitance-based tomographic flow imaging system , 1988 .

[94]  Seymour,et al.  Pulsed gradient spin echo nuclear magnetic resonance imaging of diffusion in granular flow , 2000, Physical review letters.

[95]  A new technique for differentiating between diffusion and flow in granular media using magnetic resonance imaging , 1995 .

[96]  Paul Umbanhowar,et al.  MR imaging of Reynolds dilatancy in the bulk of smooth granular flows , 2007, 0704.3745.

[97]  W. W.,et al.  The Nuclear Induction Experiment , 2022 .

[98]  Lynn F. Gladden,et al.  The nature of the flow just above the perforated plate distributor of a gas-fluidised bed, as imaged using magnetic resonance , 2006 .

[99]  Nicolas Taberlet,et al.  Diffusion of a granular pulse in a rotating drum. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[100]  Lynn F. Gladden,et al.  Magnetic resonance imaging of liquid flow and pore structure within packed beds , 1997 .

[101]  L. Axel,et al.  MR imaging of motion with spatial modulation of magnetization. , 1989, Radiology.

[102]  M. Gentzler,et al.  Measurement of velocity and density profiles in discharging conical hoppers by NMR imaging , 2009 .