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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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23.1 Natural attenuation <strong>of</strong> chlorinated solvents 1575<br />

trix results in slowing (retardation) <strong>of</strong> the contaminant relative to the average advective<br />

ground-water flow velocity and a reduction in dissolved organic concentrations in ground<br />

water. Sorption can also influence the relative importance <strong>of</strong> volatilization and<br />

biodegradation. 11 Figure 23.1.2 illustrates the effects <strong>of</strong> sorption on an advancing solute<br />

front. Sorption is a reversible reaction; at given solute concentrations, some portion <strong>of</strong> the<br />

solute is partitioning to the aquifer matrix and some portion is also desorbing, and reentering<br />

solution.<br />

Sorption can be determined from bench-scale experiments. These are typically performed<br />

by mixing water-contaminant solutions <strong>of</strong> various concentrations with aquifer materials<br />

containing various amounts <strong>of</strong> organic carbon and clay minerals. The solutions are<br />

then sealed with no headspace and left until equilibrium between the various phases is<br />

reached. The amount <strong>of</strong> contaminant left in solution is then measured.<br />

The results are commonly expressed in the form <strong>of</strong> a sorption isotherm or a plot <strong>of</strong> the<br />

concentration <strong>of</strong> chemical sorbed (μg/g) versus the concentration remaining in solution<br />

(μg/L). Sorption isotherms generally exhibit one <strong>of</strong> three characteristic shapes depending<br />

on the sorption mechanism. These isotherms are referred to as the Langmuir isotherm, the<br />

Freundlich isotherm, and the linear isotherm (a special case <strong>of</strong> the Freundlich isotherm).<br />

The reader is referred to ref. 1 for more details on sorption isotherms.<br />

Since sorption tends to slow the transport velocity <strong>of</strong> contaminants dissolved in<br />

ground water, the contaminant is said to be “retarded.” The coefficient <strong>of</strong> retardation, R, is<br />

defined as:<br />

R v x<br />

= [23.1.5]<br />

v<br />

c<br />

where:<br />

R coefficient <strong>of</strong> retardation<br />

vx average linear ground-water velocity parallel to ground-water flow<br />

vc average velocity <strong>of</strong> contaminant parallel to ground-water flow<br />

The ratio vx/vc describes the relative velocity between the ground water and the dissolved<br />

contaminant. The coefficient <strong>of</strong> retardation for a dissolved contaminant (for saturated<br />

flow) assuming linear sorption is determined from the distribution coefficient using<br />

the relationship:<br />

K<br />

R = 1+ N<br />

ρ<br />

b d<br />

[23.1.6]<br />

where:<br />

R coefficient <strong>of</strong> retardation [dimensionless]<br />

ρb bulk density <strong>of</strong> aquifer [M/L 3 ]<br />

Kd distribution coefficient [L 3 /M]<br />

N porosity [L 3 /L 3 ]<br />

The bulk density, ρb, <strong>of</strong> a soil is the ratio <strong>of</strong> the soil mass to its field volume. In sandy<br />

soils, ρb can be as high as 1.81 g/cm 3 , whereas, in aggregated loams and clayey soils, ρb can<br />

be as low as 1.1 g/cm 3 .<br />

The distribution coefficient is a measure <strong>of</strong> the sorption/desorption potential and characterizes<br />

the tendency <strong>of</strong> an organic compound to be sorbed to the aquifer matrix. The

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