FRACFLO: Analytical solutions for two-dimensional transport of a decaying species in a discrete planar fracture and equidistant multiple parallel fractures with rock matrix diffusion
Analytical solutions based on the Laplace and Fourier transformation techniques are derived for the transient advective-dispersive transport of a single radionuclide through fractures (two-dimensional analysis) and rock (one-dimensional analysis). The longitudinal dispersion-free solution is also reported. The geometry considered consists of either a single planar fracture (infinite diffusion in the rock) or a system of equidistant parallel fracture planes with uniform aperture (finite diffusion in the rock). The solution assumes that the ground-water flow regime is under steady-state and isothermal conditions, and the streamlines along the direction of flow are parallel. The solution related to the single fracture case was verified by comparing its performance with available results from other works. Two sets of solutions were derived for the multiple parallel fracture case; the first, based on a series approximation, and the second, based on contour integration, were designed to cope efficiently with small and large Fourier numbers, respectively. The general solution requires, in both cases, the evaluation of a single integral, except in the case of the solution based on contour integration, where an additional one is required. This is performed using a Gauss-Legendre quadrature scheme. 34 refs., 65 figs., 77 tabs.
- Research Organization:
- Battelle Memorial Inst., Willowbrook, IL (USA). Office of Waste Technology Development
- Sponsoring Organization:
- DOE/RW
- DOE Contract Number:
- AC02-83CH10139
- OSTI ID:
- 6775793
- Report Number(s):
- BMI/OWTD-5; ON: DE91000089
- Resource Relation:
- Other Information: This report contains 1 microfiche supplement
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GEOLOGIC FRACTURES
RADIONUCLIDE MIGRATION
GROUND WATER
FLUID FLOW
HIGH-LEVEL RADIOACTIVE WASTES
RADIOACTIVE WASTE DISPOSAL
ROCKS
ANALYTICAL SOLUTION
F CODES
FOURIER TRANSFORMATION
LAPLACE TRANSFORMATION
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
RADIOECOLOGICAL CONCENTRATION
SPATIAL DISTRIBUTION
TWO-DIMENSIONAL CALCULATIONS
COMPUTER CODES
DISTRIBUTION
ECOLOGICAL CONCENTRATION
ENVIRONMENTAL TRANSPORT
GEOLOGIC STRUCTURES
HYDROGEN COMPOUNDS
INTEGRAL TRANSFORMATIONS
MANAGEMENT
MASS TRANSFER
MATERIALS
OXYGEN COMPOUNDS
RADIOACTIVE MATERIALS
RADIOACTIVE WASTES
TRANSFORMATIONS
WASTE DISPOSAL
WASTE MANAGEMENT
WASTES
WATER
052002* - Nuclear Fuels- Waste Disposal & Storage