Molecular diffusion in water-saturated rocks: A new experimental method

Abstract An experimental method has been developed to quantify helium molecular diffusion through water-saturated rocks. The procedure is based on the through diffusion method classically used for diffusion experiments. The first main improvement consists of the ability to control more environmental parameters close to the in-situ conditions than previously. The sample is subjected to stable temperature conditions (from 30 to 80 ± 1°C), total isotropic stress (from 5 to 20 ± 0.5 MPa) and pore water pressure (from 1 to 5 ± 0.2 MPa). The water saturated state of the sample is controlled using permeability measurements and maintained throughout the experiment. A second important improvement is owing to the development of a numerical simulation and a new procedure for analysing helium which permits the study of the initial transient phase of the diffusive transfer. This procedure is based on helium leak detection using mass-spectrometry. A diffusion experiment performed on a clayey-marl specimen from Callovo-Oxfordian sediments in the north-east of the Parisian basin constitutes a significant test of the method. According to the results, an apparent diffusion coefficient as small as 2 × 10 −12 m 2 s −1 can be determined within a month, using a 1 cm thick sample.

[1]  D. Himmelblau Solubilities of Inert Gases in Water. 0° C. to Near the Critical Point of Water. , 1960 .

[2]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[3]  Cesar Zarcone,et al.  Numerical models and experiments on immiscible displacements in porous media , 1988, Journal of Fluid Mechanics.

[4]  R. Jenkins,et al.  Calculation of the transient diffusion of a gas through a solid membrane into a finite outflow volume , 1970 .

[5]  H. A. Daynes,et al.  The Process of Diffusion through a Rubber Membrane , 1920 .

[6]  R. Battino,et al.  Low-pressure solubility of gases in liquid water , 1977 .

[7]  An Improved Method to Evaluate Radionuclide Migration Model Parameters from Flow-through Diffusion Tests in Reconsolidated Clay Plugs , 1988 .

[8]  V. I. Baranenko,et al.  Solubility of hydrogen in water in a broad temperature and pressure range , 1989 .

[9]  D. Wise,et al.  The diffusion coefficients of ten slightly soluble gases in water at 10–60°C , 1966 .

[10]  G. Gee,et al.  Diffusion of Radon through Soils: A Pore Distribution Model 1 , 1984 .

[11]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[12]  R. Freer Diffusion in silicate minerals and glasses: A data digest and guide to the literature , 1981 .

[13]  M. Abraham,et al.  Thermo-osmosis of water through composite clay membranes— The parallel arrangement , 1978, Proceedings / Indian Academy of Sciences.

[14]  T. Ohsumi,et al.  Diffusivity of He and Ar in deep-sea sediments , 1984 .

[15]  B. Krooss,et al.  Experimental measurements of the diffusion parameters of light hydrocarbons in water-saturated sedimentary rocks—I. A new experimental procedure , 1987 .

[16]  E. Rideal,et al.  Permeation, diffusion and solution of gases in organic polymers , 1939 .

[17]  Ivars Neretnieks,et al.  Diffusivities of some constituents in compacted wet bentonite clay and the impact on radionuclide migration in the buffer , 1985 .

[18]  J. B. Walsh,et al.  Permeability of granite under high pressure , 1968 .

[19]  B. Krooss,et al.  Experimental measurements of the diffusion parameters of light hydrocarbons in water-saturated sedimentary rocks—II. Results and geochemical significance , 1988 .

[20]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[21]  A. Rasmuson,et al.  A Comparison of Gas Diffusivity Models for Unsaturated Porous Media , 1988 .

[22]  H. W. Olsen Osmosis: a cause of apparent deviations from Darcy's law , 1985 .

[23]  James K. Mitchell,et al.  Coupled fluid, electrical and chemical flows in soil , 1993 .