On the equivalence of nonlocal and radial-diffusion models for porewater irrigation

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ID: 293391
1984
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Abstract
Aller (1977, 1978, 1980) and Aller and Yingst (1978) have demonstrated that the presence of well-irrigated worm-tubes and other animal burrows in sediments can significantly alter the rate of exchange of solutes between porewater and the overlying waters. Specifically, the burrows modify the geometry of the porewater system such that solutes can diffuse toward or away from either the sediment-water interface or the burrow. The burrow constitutes an additional boundary source or sink. To assess this effect quantitatively in marine sediments, Aller (1978, 1980) has utilized a mathematical model wherein the sediment is idealized as a collection of regularly packed annulli, all of length L. Each annulus has a vertical hollow region corresponding to the burrow or tube and an outer solid region of sediment extending to the half-distance between burrows. Both the radius of the hollow region, rl, and the outer radius of the solid region, r2, must be determined from observation. In addition, the model assumes that the only processes affecting a solute are molecular diffusion, advection due to burial and chemical reaction, and that the fluid in the burrow is maintained at the overlying concentration by pumping. The governing conservation equation is of the form:
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Authors Bernard P. Boudreau
Journal journal of marine research
Year 1984
DOI
10.1357/002224084788505924
URL
https://doi.org/10.1357/002224084788505924
Keywords Keywords not found

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