Migration of radionuclides in fractured porous rock: analytical solution for a flux-type boundary condition

Journal Article · Fri Jan 01 04:00:00 EST 1993 · Nuclear Technology; (United States)

OSTI ID:6556389

Chiou, Sheanlang; Li, Shihhai ^[1]

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1. National Tsinghua Univ., Hsinchu (Taiwan, Province of China)

An analytical solution based on Laplace transforms is developed for the problem of radionuclide transport is developed for the problem of radionuclide transport along a discrete planar fracture in porous rock. The solution takes into account advective transport in the fracture, longitudinal hydrodynamic dispersion along the fracture axis, molecular diffusion from the fracture into the rock matrix, sorption within the rock matrix, sorption onto the surface of the fracture, and radioactive decay. The longitudinal-dispersion-free solution, which is a closed form, is also reported. The initial concentration in both the fracture and the rock matrix is assumed to be zero. An exponentially decaying flux is used for the inlet boundary condition. In addition to the radionuclide concentration in both the fracture and the rock matrix, the mass flux in the fracture is provided. The analytical solution is in the form of a single integral that is evaluated by a Gauss-Legendre quadrature for each point in space and time. A comparison between the concentration profiles with a flux-type inlet boundary condition and those with a concentration-type inlet boundary condition shows that the concentration profile is strongly influenced by the inlet boundary condition when the retardation factor of the rock matrix is high.

• OSTI ID: 6556389
• Journal Information: Nuclear Technology; (United States), Journal Name: Nuclear Technology; (United States) Vol. 101:1; ISSN 0029-5450; ISSN NUTYBB
• 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
BOUNDARY CONDITIONS
COMPARATIVE EVALUATIONS
ENVIRONMENTAL TRANSPORT
EVALUATION
FRACTURED RESERVOIRS
HIGH-LEVEL RADIOACTIVE WASTES
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MANAGEMENT
MASS TRANSFER
MATERIALS
POROUS MATERIALS
QUADRATURES
RADIOACTIVE MATERIALS
RADIOACTIVE WASTE DISPOSAL
RADIOACTIVE WASTE MANAGEMENT
RADIOACTIVE WASTES
RADIONUCLIDE MIGRATION
ROCKS
TRANSFORMATIONS
WASTE DISPOSAL
WASTE MANAGEMENT
WASTES