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Super-dispersion in homogeneous unsaturated porous media using NMR propagators.

Abstract : The NMR propagator technique allows the measurements of the variance σ2=⟨(ξ−⟨ξ⟩)2⟩ of the displacements as a function of time t when flowing in a porous media. The time dependence of σ is a very sensitive test of Gaussian behavior compared to the analysis of the shape of the propagators. Superdispersion occurs when σ2∝tα with the exponent α larger than 1. In a homogeneous 30-μm grain pack and 10 < Pe < 35, we observed weak superdispersion in saturated conditions (α = 1.17) and gradually strong superdispersion as the water saturation decreases (up to α = 1.5) during steady-state oil-water two-phase flow. In saturated conditions, the corresponding longitudinal propagators and breakthrough curves are Gaussian or nearly Gaussian, whereas in two-phase conditions, the longitudinal propagators are nonsymmetric and the breakthrough curves show a tail at long times.
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Submitted on : Monday, June 27, 2016 - 1:49:29 PM
Last modification on : Sunday, June 20, 2021 - 3:35:12 AM


  • HAL Id : hal-01337653, version 1


V. Guillon, M. Fleury, D. Bauer, Marie-Christine Néel. Super-dispersion in homogeneous unsaturated porous media using NMR propagators. . Physical Review E , American Physical Society (APS), 2013. ⟨hal-01337653⟩



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