On the anisotropic advection-diffusion equation with time dependent coefficients
- UNAM (Mexico)
- Instituto Mexicano de Petroleo (Mexico)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
The advection-diffusion equation with time dependent velocity and anisotropic time dependent diffusion tensor is examined in regard to its non-classical transport features and to the use of a non-orthogonal coordinate system. Although this equation appears in diverse physical problems, particularly in particle transport in stochastic velocity fields and in underground porous media, a detailed analysis of its solutions is lacking. In order to study the effects of the time-dependent coefficients and the anisotropic diffusion on transport, we solve analytically the equation for an initial Dirac delta pulse. Here, we discuss the solutions to three cases: one based on power-law correlation functions where the pulse diffuses faster than the classical rate ~t, a second case specically designed to display slower rate of diffusion than the classical one, and a third case to describe hydrodynamic dispersion in porous media
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1333060
- Journal Information:
- Revista Mexicana de Fisica, Vol. 63, Issue 1; ISSN 0035-001X
- Publisher:
- Sociedad Mexicana de PhysicaCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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