Analytical model for tracer dispersion in porous media

B. Ph. van Milligen and P. D. Bons
Phys. Rev. E 85, 011306 – Published 23 January 2012

Abstract

In this work, we present a novel analytical model for tracer dispersion in laminar flow through porous media. Based on a straightforward physical argument, it describes the generic behavior of dispersion over a wide range of Péclet numbers (exceeding eight orders of magnitude). In particular, the model accurately captures the intermediate scaling behavior of longitudinal dispersion, obviating the need to subdivide the dispersional behavior into a number of disjunct regimes or using empirical power-law expressions. The analysis also suggests the possible existence of a new material property, the critical Péclet number, reflecting the mesoscale geometric properties of the microscopic pore structure.

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  • Received 25 October 2011

DOI:https://doi.org/10.1103/PhysRevE.85.011306

©2012 American Physical Society

Authors & Affiliations

B. Ph. van Milligen1 and P. D. Bons2

  • 1CIEMAT, Avenida Complutense 40, E-28040 Madrid, Spain
  • 2Mineralogie und Geodynamik, Eberhard Karls Universität, Wilhelmstrasse 56, D-72074 Tübingen, Germany

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Vol. 85, Iss. 1 — January 2012

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