DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Measurement and modelling of reactive transport in geological barriers for nuclear waste containment

Journal Article · · Physical Chemistry Chemical Physics. PCCP
DOI: https://doi.org/10.1039/c5cp05243b · OSTI ID:1234576
 [1];  [2];  [3];  [1]
  1. Univ. of Manchester (United Kingdom). Research Centre for Radwaste & Decommissioning and Modelling & Simulation Centre, Dalton Nuclear Inst.
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Glenn T. Seaborg Inst., Physical & Life Sciences Directorate
  3. Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany). Inst. of Resource Ecology

Compacted clays are considered as excellent candidates for barriers to radionuclide transport in future repositories for nuclear waste due to their very low hydraulic permeability. Diffusion is the dominant transport mechanism, controlled by a nano-scale pore system. Assessment of the clays' long-term containment function requires adequate modelling of such pore systems and their evolution. Existing characterisation techniques do not provide complete pore space information for effective modelling, such as pore and throat size distributions and connectivity. Special network models for reactive transport are proposed here using the complimentary character of the pore space and the solid phase. Here, this balances the insufficient characterisation information and provides the means for future mechanical–physical–chemical coupling. The anisotropy and heterogeneity of clays is represented using different length parameters and percentage of pores in different directions. Resulting networks are described as mathematical graphs with efficient discrete calculus formulation of transport. Opalinus Clay (OPA) is chosen as an example. Experimental data for the tritiated water (HTO) and U(VI) diffusion through OPA are presented. Calculated diffusion coefficients of HTO and uranium species are within the ranges of the experimentally determined data in different clay directions. This verifies the proposed pore network model and validates that uranium complexes are diffusing as neutral species in OPA. In the case of U(VI) diffusion the method is extended to account for sorption and convection. Finally, rather than changing pore radii by coarse grained mathematical formula, physical sorption is simulated in each pore, which is more accurate and realistic.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1234576
Report Number(s):
LLNL-JRNL--676844
Journal Information:
Physical Chemistry Chemical Physics. PCCP, Journal Name: Physical Chemistry Chemical Physics. PCCP Journal Issue: 45 Vol. 17; ISSN 1463-9076; ISSN PPCPFQ
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (54)

Diffusion and dispersion in porous media journal May 1967
Pore-network modeling of biofilm evolution in porous media journal May 2011
Two methods for pore network of porous media: TWO METHODS FOR PORE NETWORK OF POROUS MEDIA
  • Gao, Shengyan; Meegoda, Jay N.; Hu, Liming
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 36, Issue 18 https://doi.org/10.1002/nag.1134
journal February 2012
Shape Factor and Hydraulic Conductance in Noncircular Capillaries journal April 2001
Discrete Calculus: Applied Analysis on Graphs for Computational Science book January 2010
Properties of a three-dimensional Poisson-Voronoi tesselation: A Monte Carlo study journal May 1992
A Network Model for Diffusion in Media with Partially Resolvable Pore Space Characteristics journal July 2014
Capillary behavior of a perfectly wetting liquid in irregular triangular tubes journal January 1991
Pore network modelling: determination of the dynamic profiles of the pore diffusivity and its effect on column performance as the loading of the solute in the adsorbed phase varies with time journal January 2001
An integrated sorption–diffusion model for the calculation of consistent distribution and diffusion coefficients in compacted bentonite journal February 2001
Diffusion of HTO, 36Cl− and 125I− in Opalinus Clay samples from Mont Terri journal March 2003
Porewater chemistry in compacted re-saturated MX-80 bentonite journal March 2003
Modeling diffusion and adsorption in compacted bentonite: a critical review journal March 2003
Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow journal August 2002
Flow in porous media — pore-network models and multiphase flow journal June 2001
Pore-scale imaging and modelling journal January 2013
A high-resolution abrasive method for determining diffusion profiles of sorbing radionuclides in dense argillaceous rocks journal July 2005
The effect of time on the weathering of silicate minerals: why do weathering rates differ in the laboratory and field? journal December 2003
Sorption of uranium(VI) onto Opalinus Clay in the absence and presence of humic acid in Opalinus Clay pore water journal May 2011
Long-term diffusion experiment at Mont Terri: first results from field and laboratory data journal August 2004
3D geometry and topology of pore pathways in Opalinus clay: Implications for mass transport journal April 2011
Pore morphology and distribution in the Shaly facies of Opalinus Clay (Mont Terri, Switzerland): Insights from representative 2D BIB–SEM investigations on mm to nm scale journal January 2013
Microstructure-informed modelling of damage evolution in cement paste journal September 2014
Monte Carlo simulations of mesoscale fracture modelling of concrete with random aggregates and pores journal January 2015
Monte Carlo simulations of mesoscale fracture of concrete with random aggregates and pores: a size effect study journal April 2015
Pore space and brittle damage evolution in concrete journal September 2013
A reactive transport modeling approach to simulate biogeochemical processes in pore structures with pore-scale heterogeneities journal April 2012
Diffusion of ionic tracers in the Callovo-Oxfordian clay-rock using the Donnan equilibrium model and the formation factor journal May 2009
Multicomponent diffusion of a suite of tracers (HTO, Cl, Br, I, Na, Sr, Cs) in a single sample of Opalinus Clay journal February 2010
Diffusion of U(VI) in Opalinus Clay: Influence of temperature and humic acid journal May 2013
Cation diffusion in the electrical double layer enhances the mass transfer rates for Sr2+, Co2+ and Zn2+ in compacted illite journal September 2015
Elastic behaviour of a regular lattice for meso-scale modelling of solids journal November 2012
A triple-layer model of the surface electrochemical properties of clay minerals journal February 2004
Diffusion of ionic species in bentonite journal April 2006
Obtaining the porewater composition of a clay rock by modeling the in- and out-diffusion of anions and cations from an in-situ experiment journal October 2008
Assessment of surface area normalisation for interpreting distribution coefficients (Kd) for uranium sorption journal October 2011
Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems journal January 2005
Influence of reaction kinetics and mesh refinement on the numerical modelling of concrete/clay interactions journal January 2009
A novel architecture for pore network modelling with applications to permeability of porous media journal April 2013
Characterization of multi-scale microstructural features in Opalinus Clay journal April 2013
Discrete modelling of contaminant diffusion in porous media with sorption journal February 2014
Transferability of geoscientific information from various sources (study sites, underground rock laboratories, natural analogues) to support safety cases for radioactive waste repositories in argillaceous formations journal January 2008
Anisotropic Diffusion in Layered Argillaceous Rocks:  A Case Study with Opalinus Clay journal November 2004
Multicomponent Diffusion Modeling in Clay Systems with Application to the Diffusion of Tritium, Iodide, and Sodium in Opalinus Clay journal July 2007
Study of Sorption-Retarded U(VI) Diffusion in Hanford Silt/Clay Material journal October 2009
Stokes-Einstein relation for pure simple fluids journal June 2007
Invasion percolation: a new form of percolation theory journal October 1983
Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. II. Results journal February 2005
Pore-network extraction from micro-computerized-tomography images journal September 2009
Site-bond modelling of porous quasi-brittle media journal December 2012
Preferred Orientations and Anisotropy in Shales: Callovo-Oxfordian Shale (France) and Opalinus Clay (Switzerland) journal June 2008
A Consistance Model for Anion Exclusion and Surface Diffusion journal January 1999
Chloride Diffusion in Clay-Water Systems1 journal January 1966
Predicting Solute Transport in Structured Soil Using Pore Network Models journal January 2011

Cited By (2)