Fractional Dispersion , Lévy Motion , and the MADE Tracer Tests

@inproceedings{Benson1999FractionalD,
  title={Fractional Dispersion , L{\'e}vy Motion , and the MADE Tracer Tests},
  author={David A. Benson and Rina Schumer and Mark M. Meerschaert and Stephen W. Wheatcraft},
  year={1999}
}
The macrodispersion experiments (MADE) at the Columbus Air Force Base in Mississippi were conducted in a highly heterogeneous aquifer that violates the basic assumptions of local 2 nd– order theories. A governing equation that describes particles that undergo Lévy motion, rather than Brownian motion, readily describes the highly skewed and heavy–tailed plume development at the MADE site. The new governing equation is based on a fractional, rather than integer, order of differentiation. This… CONTINUE READING
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