FRACVAL: Validation (nonlinear least squares method) of the solution of one-dimensional transport of decaying species in a discrete planar fracture with rock matrix diffusion

Technical Report · Wed Aug 01 04:00:00 EDT 1990

DOI:https://doi.org/10.2172/6468991· OSTI ID:6468991

Gureghian, A B

Analytical solutions based on the Laplace transforms are presented for the one-dimensional, transient, advective-dispersive transport of a reacting radionuclide through a discrete planar fracture with constant aperture subject to diffusion in the surrounding rock matrix where both regions of solute migration display residual concentrations. The dispersion-free solutions, which are of closed form, are also reported. The solution assumes that the ground-water flow regime is under steady-state and isothermal conditions and that the rock matrix is homogeneous, isotropic, and saturated with stagnant water. The verification of the solution was performed by means of related analytical solutions dealing with particular aspects of the transport problem under investigation on the one hand, and a numerical solution capable of handling the complete problem on the other. The integrals encountered in the general solution are evaluated by means of a composite Gauss-Legendre quadrature scheme. 9 refs., 8 figs., 32 tabs.

• Research Organization: Battelle, Willowbrook, IL (USA). Office of Waste Technology Development
• Sponsoring Organization: DOE/RW
• DOE Contract Number: AC02-83CH10139
• OSTI ID: 6468991
• Report Number(s): BMI/OWTD-8; ON: DE91000671
• Country of Publication: United States
• Language: English

Related Subjects

052002* -- Nuclear Fuels-- Waste Disposal & Storage
12 MANAGEMENT OF RADIOACTIVE AND NON-RADIOACTIVE WASTES FROM NUCLEAR FACILITIES
ANALYTICAL SOLUTION
COMPUTER CODES
DIFFUSION
ENERGY SOURCES
ENVIRONMENTAL TRANSPORT
F CODES
FUELS
GEOLOGIC FRACTURES
GEOLOGIC STRUCTURES
GROUND WATER
HIGH-LEVEL RADIOACTIVE WASTES
HYDROGEN COMPOUNDS
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MANAGEMENT
MASS TRANSFER
MATERIALS
NUCLEAR FUELS
ONE-DIMENSIONAL CALCULATIONS
OXYGEN COMPOUNDS
RADIOACTIVE MATERIALS
RADIOACTIVE WASTE DISPOSAL
RADIOACTIVE WASTE MANAGEMENT
RADIOACTIVE WASTES
RADIONUCLIDE MIGRATION
REACTOR MATERIALS
REACTORS
ROCKS
SPENT FUELS
TRANSFORMATIONS
WASTE DISPOSAL
WASTE MANAGEMENT
WASTES
WATER