Mathematical model for evaluating the suitability of a low-level radioactive waste site

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A mathematical model intended to study the one-dimensional transport of radionuclides in a non-homogeneous soil system under saturated-unsaturated and isothermal conditions is presented. The model is composed of two modules: the first to calculate the pressure distribution enabling one to compute velocities and soil moisture; the second to calculate the migration of species by considering the major processes associated with the transport phenomena of a dissolved substance in porous media, i.e., advection, mechanical dispersion, molecular diffusion, radioactive decay, and sorption, assuming a linear equilibrium isotherm. The numerical method of solving both flow and solute equations used here is the finite-element ... continued below

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Pages: 24

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Gureghian, A.B. & Sedlet, J. February 1, 1982.

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Description

A mathematical model intended to study the one-dimensional transport of radionuclides in a non-homogeneous soil system under saturated-unsaturated and isothermal conditions is presented. The model is composed of two modules: the first to calculate the pressure distribution enabling one to compute velocities and soil moisture; the second to calculate the migration of species by considering the major processes associated with the transport phenomena of a dissolved substance in porous media, i.e., advection, mechanical dispersion, molecular diffusion, radioactive decay, and sorption, assuming a linear equilibrium isotherm. The numerical method of solving both flow and solute equations used here is the finite-element method based on the weighted residual technique. The flow equation is solved by the Bubnov-Galerkin method. The solute equation is solved by a Petrov-Galerkin type method. The model allows for a variety of boundary conditions; e.g., infiltration, drainage and/or evaporation. A test case involving the movement of a non-reacting ionic species is used to validate the model. Use of the model is illustrated by the analysis of the movement Sr-90 and Cs-137 and H-3 (as water) from a low-level solid-waste disposal trench subject to a steady rate of rainfall.

Physical Description

Pages: 24

Notes

NTIS, PC A02/MF A01.

Source

  • Waste management conference, Tucson, AZ, USA, 8 Mar 1982

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  • Other: DE83008659
  • Report No.: CONF-820303-44
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 6494498
  • Archival Resource Key: ark:/67531/metadc1205902

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • February 1, 1982

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

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  • Oct. 31, 2018, 5:36 p.m.

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Gureghian, A.B. & Sedlet, J. Mathematical model for evaluating the suitability of a low-level radioactive waste site, article, February 1, 1982; Illinois. (digital.library.unt.edu/ark:/67531/metadc1205902/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.