Skip to main content

Research Repository

Advanced Search

Modelling and upscaling of transport in carbonates during dissolution: validation and calibration with NMR experiments

Muljadi, Bagus P.; Bijeljic, Branko; Blunt, Martin J.; Colbourne, Adam; Sederman, Andy J.; Mantle, Mick D.; Gladden, Lynn F.

Authors

Profile Image

BAGUS MULJADI BAGUS.MULJADI@NOTTINGHAM.AC.UK
Assistant Professor - Chemical & Environmental Engineering

Branko Bijeljic

Martin J. Blunt

Adam Colbourne

Andy J. Sederman

Mick D. Mantle

Lynn F. Gladden



Abstract

We present an experimental and numerical study of transport in carbonates during dissolution and its upscaling from the pore (∼ μm) to core (∼ cm) scale. For the experimental part, we use nuclear magnetic resonance (NMR) to probe molecular displacements (propagators) of an aqueous hydrochloric acid (HCl) solution through a Ketton limestone core. A series of propagator profiles are obtained at a large number of spatial points along the core at multiple time-steps during dissolution. For the numerical part, first, the transport model—a particle-tracking method based on Continuous Time Random Walks (CTRW) by Rhodes et al. (2008)—is validated at the pore scale by matching to the NMR-measured propagators in a beadpack, Bentheimer sandstone, and Portland carbonate Scheven et al. (2005). It was found that the emerging distribution of particle transit times in these samples can be approximated satisfactorily using the power law function ψ(t) ∼ t −1 −β, where 0 < β < 2. Next, the evolution of the propagators during reaction is modelled: at the pore scale, the experimental data is used to calibrate the CTRW parameters; then the shape of the propagators is predicted at later observation times. Finally, a numerical upscaling technique is employed to obtain CTRW parameters for the core. From the NMR-measured propagators, an increasing frequency of displacements in stagnant regions was apparent as the reaction progressed. The present model predicts that non-Fickian behaviour exhibited at the pore scale persists on the centimetre scale.

Citation

Muljadi, B. P., Bijeljic, B., Blunt, M. J., Colbourne, A., Sederman, A. J., Mantle, M. D., & Gladden, L. F. (in press). Modelling and upscaling of transport in carbonates during dissolution: validation and calibration with NMR experiments. Journal of Contaminant Hydrology, https://doi.org/10.1016/j.jconhyd.2017.08.008

Journal Article Type Article
Acceptance Date Aug 23, 2017
Online Publication Date Sep 1, 2017
Deposit Date Sep 15, 2017
Publicly Available Date Sep 15, 2017
Journal Journal of Contaminant Hydrology
Print ISSN 0169-7722
Electronic ISSN 1873-6009
Publisher Elsevier
Peer Reviewed Peer Reviewed
DOI https://doi.org/10.1016/j.jconhyd.2017.08.008
Public URL http://eprints.nottingham.ac.uk/id/eprint/46434
Publisher URL http://www.sciencedirect.com/science/article/pii/S0169772217300980?via%3Dihub
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

Files


CTRW.pdf (5.6 Mb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0


1-s2.0-S0169772217300980-main.pdf (1.6 Mb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





You might also like



Downloadable Citations