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Interpretation of out-diffusion experiments on crystalline rocks using random walk modeling.

Paul Sardini1, Frederick Delay, Karl-Heinz Hellmuth

  • 1HYDR'ASA Laboratory (Hydrogeology, Clays, Soils and Alterations), UMR 6532 CNRS, University of Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers Cedex, France. paul.sardini@hydrassa.univ-poitie

Journal of Contaminant Hydrology
|February 25, 2003
PubMed
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Matrix diffusion in crystalline rocks is complex. Numerical simulations using random walk methods reveal that porosity distribution and pore connectivity significantly influence solute transport, explaining experimental diffusion curve shapes.

Area of Science:

  • Geochemistry and Environmental Science
  • Rock Physics and Transport Phenomena

Background:

  • Matrix diffusion is a key solute transport mechanism in low-permeability saturated rocks.
  • Bulk diffusion coefficients from laboratory experiments often fail to capture the complexity of diffusion in heterogeneous crystalline rocks.

Purpose of the Study:

  • To investigate the influence of internal rock heterogeneity on matrix diffusion processes.
  • To simulate out-diffusion using realistic porosity distributions and analyze the impact on diffusion curves.

Main Methods:

  • Obtained 2D porosity distribution images of granite via radioactive resin impregnation and autoradiography.
  • Performed numerical simulations of out-diffusion using two distinct random walk methods on real and synthetic porosity images.

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Main Results:

  • Simulated out-diffusion curves are sensitive to the spatial distribution of porosity.
  • Pore connectivity to the sample border critically affects the shape of diffusion curves.
  • The spatial heterogeneity of porosity directly influences the observed diffusion behavior.

Conclusions:

  • Numerical simulations can replicate complex diffusion behaviors observed in experiments.
  • The findings help explain non-ideal diffusion curve shapes like multiple slopes and convexities.
  • Understanding pore structure is crucial for accurate modeling of solute transport in rocks.