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Title: Semianalytical solutions of radioactive or reactive tracer transport in layered fractured media

Abstract

In this paper, semianalytical solutions are developed for the problem of transport of radioactive or reactive tracers (solutes or colloids) through a layered system of heterogeneous fractured media with misaligned fractures. The tracer transport equations in the matrix account for (a) diffusion, (b) surface diffusion (for solutes only), (c) mass transfer between the mobile and immobile water fractions, (d) linear kinetic or equilibrium physical, chemical, or combined solute sorption or colloid filtration, and (e) radioactive decay or first order chemical reactions. Any number of radioactive decay daughter products (or products of a linear, first-order reaction chain) can be tracked. The tracer-transport equations in the fractures account for the same processes, in addition to advection and hydrodynamic dispersion. Additionally, the colloid transport equations account for straining and velocity adjustments related to the colloidal size. The solutions, which are analytical in the Laplace space, are numerically inverted to provide the solution in time and can accommodate any number of fractured and/or porous layers. The solutions are verified using analytical solutions for limiting cases of solute and colloid transport through fractured and porous media. The effect of important parameters on the transport of {sup 3}H, {sup 237}Np and {sup 239}Pu (and its daughters)more » is investigated in several test problems involving layered geological systems of varying complexity. {sup 239}Pu colloid transport problems in multilayered systems indicate significant colloid accumulations at straining interfaces but much faster transport of the colloid than the corresponding strongly sorbing solute species.« less

Authors:
;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Civilian Radioactive Waste Management (US)
OSTI Identifier:
789987
Report Number(s):
LBNL-44155
R&D Project: 80KH75; TRN: US0200321
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 10 Oct 2001
Country of Publication:
United States
Language:
English
Subject:
11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS; 54 ENVIRONMENTAL SCIENCES; FRACTURED RESERVOIRS; RADIONUCLIDE MIGRATION; ANALYTICAL SOLUTION; CHEMICAL REACTIONS; DIFFUSION; GEOLOGIC FRACTURES; HYDRODYNAMICS; SOLUTES; MASS TRANSFER; TRITIUM; PLUTONIUM 239; NEPTUNIUM 237

Citation Formats

Moridis, G.J., and Bodvarsson, G.S. Semianalytical solutions of radioactive or reactive tracer transport in layered fractured media. United States: N. p., 2001. Web. doi:10.2172/789987.
Moridis, G.J., & Bodvarsson, G.S. Semianalytical solutions of radioactive or reactive tracer transport in layered fractured media. United States. doi:10.2172/789987.
Moridis, G.J., and Bodvarsson, G.S. Wed . "Semianalytical solutions of radioactive or reactive tracer transport in layered fractured media". United States. doi:10.2172/789987. https://www.osti.gov/servlets/purl/789987.
@article{osti_789987,
title = {Semianalytical solutions of radioactive or reactive tracer transport in layered fractured media},
author = {Moridis, G.J. and Bodvarsson, G.S.},
abstractNote = {In this paper, semianalytical solutions are developed for the problem of transport of radioactive or reactive tracers (solutes or colloids) through a layered system of heterogeneous fractured media with misaligned fractures. The tracer transport equations in the matrix account for (a) diffusion, (b) surface diffusion (for solutes only), (c) mass transfer between the mobile and immobile water fractions, (d) linear kinetic or equilibrium physical, chemical, or combined solute sorption or colloid filtration, and (e) radioactive decay or first order chemical reactions. Any number of radioactive decay daughter products (or products of a linear, first-order reaction chain) can be tracked. The tracer-transport equations in the fractures account for the same processes, in addition to advection and hydrodynamic dispersion. Additionally, the colloid transport equations account for straining and velocity adjustments related to the colloidal size. The solutions, which are analytical in the Laplace space, are numerically inverted to provide the solution in time and can accommodate any number of fractured and/or porous layers. The solutions are verified using analytical solutions for limiting cases of solute and colloid transport through fractured and porous media. The effect of important parameters on the transport of {sup 3}H, {sup 237}Np and {sup 239}Pu (and its daughters) is investigated in several test problems involving layered geological systems of varying complexity. {sup 239}Pu colloid transport problems in multilayered systems indicate significant colloid accumulations at straining interfaces but much faster transport of the colloid than the corresponding strongly sorbing solute species.},
doi = {10.2172/789987},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2001},
month = {10}
}