Derivation of an equation for radionuclide transport in porous media

Journal Article · Tue May 01 00:00:00 EDT 1990 · Nuclear Technology; (USA)

OSTI ID:6772442

Chen, F L; Li, S H ^[1]

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1. National Tsing-Hua Univ., Dept. of Nuclear Engineering, Hsinchu 30043 (TW)

To analytically predict the transport of radionuclides in porous media, it is necessary to develop a complete mathematical model. This means that the mechanisms must be described and the governing equations derived, along with their general solutions for the transport processes. The four major mechanisms---advection, dispersion, adsorption-desorption and ion exchange, and degradation---are physically described and mathematically modeled. Based on the classic principle of mass conservation in a control volume, the governing equation for the transport of radionuclides in porous media is derived, which may be called the advection-dispersion equation. Some general solutions of the governing equation are obtained by using constant dispersion coefficients. In addition, some ambiguities of the advective-dispersion equation are solved, and this equation is extended to fractured media.

• OSTI ID: 6772442
• Journal Information: Nuclear Technology; (USA), Vol. 90:2; ISSN 0029-5450
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
54 ENVIRONMENTAL SCIENCES
POROUS MATERIALS
RADIONUCLIDE MIGRATION
ADVECTION
ANALYTICAL SOLUTION
DISPERSION RELATIONS
ENVIRONMENT
EQUATIONS
ION EXCHANGE
MATHEMATICAL MODELS
TRANSPORT THEORY
ENVIRONMENTAL TRANSPORT
MASS TRANSFER
MATERIALS
220500* - Nuclear Reactor Technology- Environmental Aspects
990200 - Mathematics & Computers
540130 - Environment
Atmospheric- Radioactive Materials Monitoring & Transport- (1990-)
540230 - Environment
Terrestrial- Radioactive Materials Monitoring & Transport- (1990-)