Model to interpret pulsed-field-gradient NMR data including memory and superdispersion effects.

Marie-Christine Néel 1 Daniela Bauer 2 Marc Fleury 2
1 EMMAH - Environnement Méditerranéen et Modélisation des Agro-Hydrosystèmes
2 IFPEN - IFP Energies nouvelles
Abstract : We propose a versatile model specifically designed for the quantitative interpretation of NMR velocimetry data. We use the concept of mobile or immobile tracer particles applied in dispersion theory in its Lagrangian form, adding two mechanisms: (i) independent random arrests of finite average representing intermittent periods of very low velocity zones in the mean flow direction and (ii) the possibility of unexpectedly long (but rare) displacements simulating the occurrence of very high velocities in the porous medium. Based on mathematical properties related to subordinated Lévy processes, we give analytical expressions of the signals recorded in pulsed-field-gradient NMR experiments. We illustrate how to use the model for quantifying dispersion from NMR data recorded for water flowing through a homogeneous grain pack column in single- and two-phase flow conditions.
Document type :
Journal articles
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download
https://hal-ifp.archives-ouvertes.fr/hal-01052931
Contributor : Françoise Bertrand <>
Submitted on : Tuesday, July 29, 2014 - 11:12:30 AM
Last modification on : Friday, March 22, 2019 - 11:34:04 AM
Long-term archiving on : Tuesday, November 25, 2014 - 7:55:38 PM

File

nbfrevi20.pdf
Files produced by the author(s)

Identifiers

Collections

IFP | UNIV-AVIGNON | INRA | AGROPOLIS | TDS-MACS

Citation

Marie-Christine Néel, Daniela Bauer, Marc Fleury. Model to interpret pulsed-field-gradient NMR data including memory and superdispersion effects.. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2014, 89 (6), pp.No 062121. ⟨10.1103/PhysRevE.89.062121⟩. ⟨hal-01052931⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

456

Files downloads

234

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD