Journal
WATER RESOURCES RESEARCH
Volume 45, Issue -, Pages -Publisher
AMER GEOPHYSICAL UNION
DOI: 10.1029/2008WR007577
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Funding
- U. S. National Science Foundation [EAR-0823965, DMS-0803360]
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Space-fractional advection-dispersion models provide attractive alternatives to the classical advection-dispersion equation for model applications that exhibit early arrivals and plume skewness. This paper develops a flexible method for estimating the parameters of the fractional transport model on the basis of spatial plume snapshots or temporal breakthrough curve data. A particle-tracking approach provides error bars for the parameter estimates and a general method for model fitting and comparison via optimal weighted least squares. A simple model of concentration variance, based on the particle-tracking approach, identifies the optimal weights.
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