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information to the contrary, is assumed to be 1. The biodiffusion coefficient
and the depth of bioturbation are important factors in the determination of the
required cap thickness, and thus the best possible estimates should be used. The
ranges for Dbio and Lbio are quite large, and an extensive tabulation is presented
by Matisoff (1982). An examination of these data suggests that a depth of bio-
turbation of 2 to 10 cm is typical and that biodiffusion coefficients are generally
in the range of 0.3 to 30 cm2/year. As indicated previously, however, the con-
taminant flux is controlled by transport through the cap and is essentially
insensitive to the bioturbation mass transfer coefficient. The contaminant
concentration in the bioturbated layer, however, is heavily dependent upon the
biodiffusion coefficient.
Evaporation mass transfer coefficient
The overall evaporation mass transfer coefficient is taken as equal to the
water-side mass transfer coefficient. This is generally valid for volatile organic
compounds but less true for many PAHs, which tend to exhibit significant air-
side mass transfer resistances. A water-side mass transfer coefficient for evapo-
rative losses is given by Lunny, Springer, and Thibodeaux (1985) as
2.23
2/3
19.6 Ux
Ke
Dw
(B39)
where Ux is the wind speed at 10 m (miles/hour), Dw has units of square
centimeters/second, and Ke has units of centimeters/hour. Lyman, Reehl, and
Rosenblatt (1990) provide information on air-side coefficients that may be
important for some compounds, notably low-volatility PAH compounds.
Example
Several design bases are possible for specifying the physico-chemical con-
tainment afforded by a cap. There are at least five quantities that may be of
interest to the cap designer and for which models were presented here. These are
the breakthrough time, the pollutant release rate (as a source term input to other
fate and effects models), concentrations at the sediment-water interface or in the
overlying water column, and the time to approach steady state. The two physico-
chemical properties of the cap material that have the largest effect on the effi-
cacy of the cap are the organic carbon content and the cap thickness. Each of
these calculations will be illustrated given a cap thickness. In general, the
process would be applied iteratively using a guessed cap thickness until the
desired breakthrough times, fluxes, etc, are achieved.
The selected example considers a sediment contaminated with a moderately
hydrophobic polyaromatic hydrocarbon, pyrene. The contaminant is initially
present in the upper 35 cm of sediment at a level of 100 mg/kg. A cap of initial
thickness of 50 cm is placed over this sediment. Both the cap and the sediment
contain 1-percent organic carbon. Consolidation of the cap after placement
B20
Appendix B Model for Chemical Containment by a Cap
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