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ENVIRONMENTAL EXPOSURE ASSESSMENT<br />

Derivation of the removal rate constants<br />

The total rate constant <strong>for</strong> removal is made up of several parts:<br />

• biodegradation rate constant;<br />

• volatilisation of substance from soil;<br />

• leaching to deeper soil layers.<br />

Other removal processes may be important in some cases (e.g. uptake by plants). If rate<br />

constants are known <strong>for</strong> these processes, they may be added to the total removal. The overall<br />

removal rate constant is given by:<br />

Explanation of symbols<br />

82<br />

k = kvolat + kleach + kbiosoil<br />

kvolat pseudo-first order rate constant <strong>for</strong> volatilisation from soil [d -1 ] eq. (57)<br />

kleach pseudo-first order rate constant <strong>for</strong> leaching from top soil [d -1 ] eq. (58)<br />

kbiosoil pseudo-first order rate constant <strong>for</strong> biodegradation in soil [d -1 ] Table 8<br />

k first order rate constant <strong>for</strong> removal from top soil [d -1 ]<br />

The diffusive transfer from soil to air is estimated using the classical two-film resistance model.<br />

The soil-side of the interface is treated as a pair of parallel resistances (air phase <strong>and</strong> water phase<br />

of soil) (Mackay et al., 1992). The rate constant <strong>for</strong> volatilisation from soil is given by:<br />

1 ⎛ 1 1<br />

= ⎜<br />

+<br />

k ⎝ kasl • K kasl • K + kasl<br />

volat air air-water soilair air-water soilwater<br />

Explanation of symbols<br />

⎞<br />

⎟<br />

⎠<br />

K DEPTH<br />

• soil-water •<br />

soil<br />

kaslair partial mass transfer coeff. at air-side of the air-soil interface [m . d -1 ] 120<br />

kaslsoilair partial mass transfer coeff. at soilair-side of the air-soil int. [m . d -1 ] 0.48<br />

kaslsoilwater partial mass transfer coeff. at soilwater-side of the air-soil int. [m . d -1 ] 4.8⋅10 -5<br />

Kair-water air-water equilibrium distribution constant [m 3. m -3 ] eq. (22)<br />

Ksoil-water soil-water partitioning coefficient [m 3. m -3 ] eq. (24)<br />

DEPTHsoil mixing depth of soil [m] Table 11<br />

kvolat pseudo first-order rate constant <strong>for</strong> volatilisation from soil [d -1 ]<br />

A pseudo first-order rate constant <strong>for</strong> leaching can be calculated from the amount of rain<br />

flushing the liquid-phase of the soil compartment:<br />

k leach =<br />

Finf soil<br />

• RAINrate<br />

K DEPTH<br />

soil-water •<br />

soil<br />

(56)<br />

(57)<br />

(58)

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