Analytical solution of Boudreau's equation for a tracer subject to food-feedback bioturbation

Swaney, Dennis P.

Limnol. Oceanogr., 44(3), 1999, 697-698 | DOI: 10.4319/lo.1999.44.3.0697

ABSTRACT: Boudreau (1998) obtains a differential equation for a tracer at steady state, subject to mixing associated with bioturbation in a mixed layer of thickness L. As he suggests, the equation may be solved numerically, but an expression for the solution in terms of conventional functional forms would be convenient for the researcher. Analytical solutions corresponding to two different standard boundary conditions are derived below, and their behaviors are discussed briefly.

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