Under-sampling and compressed sensing of 3D spatially-resolved displacement propagators in porous media using APGSTE-RARE MRI

Daan W de Kort; Stefan A Hertel; Matthias Appel; Hilko de Jong; Michael D Mantle; Andrew J Sederman; Lynn F Gladden

doi:10.1016/j.mri.2018.08.014

Under-sampling and compressed sensing of 3D spatially-resolved displacement propagators in porous media using APGSTE-RARE MRI

Magn Reson Imaging. 2019 Feb:56:24-31. doi: 10.1016/j.mri.2018.08.014. Epub 2018 Oct 15.

Authors

Daan W de Kort¹, Stefan A Hertel², Matthias Appel³, Hilko de Jong², Michael D Mantle¹, Andrew J Sederman¹, Lynn F Gladden⁴

Affiliations

¹ Magnetic Resonance Research Centre, Department of Chemical Engineering and Biotechnology, University of Cambridge, Philippa Fawcett Drive, Cambridge CB3 0AS, United Kingdom.
² Shell Technology Center Houston, Shell Exploration and Production Inc., 3333 Highway 6 S, Houston, TX 77082, USA.
³ Shell Technology Centre Amsterdam, Shell Global Solutions International B.V., Grasweg 31, 1031 HW Amsterdam, the Netherlands.
⁴ Magnetic Resonance Research Centre, Department of Chemical Engineering and Biotechnology, University of Cambridge, Philippa Fawcett Drive, Cambridge CB3 0AS, United Kingdom. Electronic address: lfg1@cam.ac.uk.

PMID: 30337126
DOI: 10.1016/j.mri.2018.08.014

Abstract

A method for under-sampling and compressed sensing of 3D spatially-resolved propagators is presented and demonstrated for flow in a packed bed and a heterogeneous carbonate rock. By sampling only 12.5% of q,k-space, the experimental acquisition time was reduced by almost an order of magnitude. In particular, for both systems studied, a 3D image was acquired at 1 mm isotropic spatial resolution such that 134,400 local propagators were obtained. Data were acquired in ~1 h and ~11 h for the packed bed and rock, respectively. It is shown that spatial resolution and under-sampling using this implementation retains the quantitative nature of the propagator measurement, and differences between implementation of this measurement in two and three dimensions are identified. The potential for 3D spatially-resolved propagators to provide new insights into transport processes in porous media by characterisation of the statistical moments of the propagators is discussed.

Keywords: Flow; Porous media; Spatially-resolved propagators.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Geologic Sediments / chemistry*
Image Enhancement / methods*
Image Interpretation, Computer-Assisted / methods*
Imaging, Three-Dimensional / methods*
Magnetic Resonance Imaging / methods*
Porosity
Signal Processing, Computer-Assisted*