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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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1606 Hanadi S. Rifai, Charles J. Newell, Todd H. Wiedemeier<br />

R dC<br />

TCE<br />

dt<br />

R dC<br />

DCE<br />

dt<br />

R dC<br />

VC<br />

dt<br />

R dC<br />

ETH<br />

dt<br />

v dC<br />

D<br />

dx<br />

dC<br />

D<br />

dx<br />

dC<br />

D<br />

dy<br />

d<br />

2<br />

2<br />

2<br />

TCE<br />

TCE C<br />

= − + x + y +<br />

2<br />

2 z<br />

dz<br />

TCE TCE<br />

v dC<br />

D<br />

dx<br />

dC<br />

D<br />

dx<br />

dC<br />

D<br />

dy<br />

d<br />

2<br />

2<br />

2<br />

DCE<br />

DCE C<br />

= − + x + y +<br />

2<br />

2 z<br />

dz<br />

DCE DCE<br />

v dC<br />

D<br />

dx<br />

dC<br />

D<br />

dx<br />

dC<br />

D<br />

dy<br />

dC<br />

2<br />

2<br />

2<br />

VC<br />

VC<br />

= − + x + y +<br />

2<br />

2 z<br />

dz<br />

VC VC<br />

v dC<br />

D<br />

dx<br />

dC<br />

D<br />

dx<br />

dC<br />

D<br />

dy<br />

d<br />

2<br />

2<br />

2<br />

ETH<br />

ETH C<br />

= − + x + y +<br />

2<br />

2 z<br />

dz<br />

ETH ETH<br />

+ kC − k C [23.1.22]<br />

TCE<br />

2 1 PCE 2 TCE<br />

+ kC − kC [23.1.23]<br />

DCE<br />

2 2 TCE 3 DCE<br />

VC<br />

+ kC 2 3 DCE −kC<br />

4 VC [23.1.24]<br />

ETH<br />

2<br />

+ kC [23.1.25]<br />

where:<br />

RPCE, RTCE, RDCE, RVC, RETH retardation factors<br />

V seepage velocity<br />

Dx,Dy,Dz dispersivities in the x, y, and z directions.<br />

BIOCHLOR uses a novel analytical solution to solve these coupled transport and reaction<br />

equations in an Excel spreadsheet. To uncouple these equations, BIOCHLOR employs<br />

transformation equations developed by Sun and Clement. 110 The uncoupled equations were<br />

solved using the Domenico model, and inverse transformations were used to generate concentration<br />

pr<strong>of</strong>iles. Details <strong>of</strong> the transformation are presented elsewhere. 110 Typically,<br />

source zone concentrations <strong>of</strong> cis-1,2-dichloroethythene (DCE) are high because<br />

biodegradation <strong>of</strong> PCE and TCE has been occurring since the solvent release.<br />

BIOCHLOR also simulates different first-order decay rates in two different zones at a<br />

chlorinated solvent site. For example, BIOCHLOR is able to simulate a site with high<br />

dechlorination rates in a high-carbon area near the source that becomes a zone with low<br />

dechlorination rates downgradient when fermentation substrates have been depleted.<br />

In addition to the model, a database <strong>of</strong> chlorinated solvent sites is currently being analyzed<br />

to develop empirical rules for predicting first-order coefficients that can be used in<br />

BIOCHLOR. For example, at sites with evidence <strong>of</strong> considerable halorespiration, the use <strong>of</strong><br />

higher first order decay coefficients will be recommended. Indicators <strong>of</strong> high rates <strong>of</strong><br />

halorespiration may include: i) high concentrations <strong>of</strong> fermentation substrates such as<br />

BTEX at the site, ii) high methane concentrations, which indicate high rates <strong>of</strong> fermentation,<br />

and iii) large ratios <strong>of</strong> progeny products to parent compounds, and iv) high concentrations<br />

<strong>of</strong> source zone chloride compared to background chloride concentrations.<br />

The BIOCHLOR model was used to reproduce the movement <strong>of</strong> the Cape Canaveral<br />

plume from 1965 to 1998. The Cape Canaveral site (Figure 23.1.9) is located in Florida and<br />

exhibits a TCE plume which is approximately 1,200 ft long and 450 ft wide. TCE concentrations<br />

as high as 15.8 mg/L have been measured recently at the site. The site characteristics<br />

used in the BIOCHLOR model are listed in Table 23.1.12. The hydraulic conductivity<br />

assumed in the model was 1.8x10 -2 cm/sec and the hydraulic gradient was 0.0012. A porosity<br />

<strong>of</strong> 0.2 was assumed as well as the Xu and Eckstein model for longitudinal dispersivity. 8<br />

The lateral dispersivity was assumed to be 10% <strong>of</strong> the longitudinal dispersivity and vertical<br />

dispersion was neglected.<br />

4<br />

ETH

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