Physics
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012georl..3905401w&link_type=abstract
Geophysical Research Letters, Volume 39, Issue 5, CiteID L05401
Physics
Hydrology: Groundwater Hydrology, Hydrology: Groundwater Quality, Hydrology: Groundwater Transport, Hydrology: River Channels (0483, 0744), Hydrology: Surface Water Quality
Scientific paper
We present a theory for dynamic longitudinal dispersion coefficient (D) for transport by Poiseuille flow, the foundation for models of many natural systems, such as in fractures or rivers. Our theory describes the mixing and spreading process from molecular diffusion, through anomalous transport, and until Taylor dispersion. D is a sixth order function of fracture aperture (b) or river width (W). The time (T) and length (L) scales that separate preasymptotic and asymptotic dispersive transport behavior are T = b2/(4Dm), where Dm is the molecular diffusion coefficient, and L = b448μDm∂p∂x, where p is pressure and μ is viscosity. In the case of some major rivers, we found that L is ∼150W. Therefore, transport has to occur over a relatively long domain or long time for the classical advection-dispersion equation to be valid.
Bayani Cardenas M.
Bennett Philip C.
Deng Wen
Wang Lichun
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