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Parameter Estimation Guidelines for Risk-Based Corrective Action ...

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Groundwater Services, Inc.<br />

Equation CM-1: Surface Soil Volatilization Factor (VFss)<br />

Uair<br />

breathing zone<br />

d affected surficial soils<br />

W<br />

δ air<br />

diffusing<br />

vapors<br />

CM-1a:<br />

VF<br />

ss<br />

( )<br />

3<br />

⎡<br />

eff<br />

mg / m − air ⎤ 2W<br />

s<br />

Ds<br />

H<br />

⎢<br />

⎥<br />

⎣⎢<br />

( mg / kg − soil)<br />

⎦⎥ = ρ<br />

Uairδair<br />

πτ θ + k ρ + Hθ<br />

or CM-1b:<br />

VF<br />

whichever is less<br />

Equation CM-2: Soil Particulate Emission Factor (PEF)<br />

ss<br />

( )<br />

3<br />

⎡ mg / m − air<br />

⎢<br />

⎣⎢<br />

mg / kg − soil<br />

( )<br />

( ) ×<br />

ws s s as<br />

⎤ Wρsd<br />

⎥ = × 10<br />

⎦⎥<br />

Uairδairτ<br />

3<br />

10<br />

3<br />

Uair<br />

d<br />

P e<br />

breathing zone<br />

affected surficial soils<br />

δ air<br />

diffusing<br />

vapors<br />

( )<br />

3<br />

⎡ mg / m − air<br />

PEF⎢<br />

⎣⎢<br />

mg / kg − soil<br />

( )<br />

⎤ PW<br />

e<br />

⎥ = × 10<br />

⎦⎥<br />

Uairδ<br />

air<br />

3<br />

W<br />

Equation CM-3: Subsurface Soil Volatilization Factor (VFsamb)<br />

L s<br />

U air<br />

breathing zone δair<br />

vadose zone<br />

d i f f u s i n g v a p o r s<br />

affected subsurface soils<br />

W<br />

CM-3a:<br />

⎡ 3<br />

( mg / m − air)<br />

⎤<br />

H<br />

VF ⎢<br />

⎥<br />

s<br />

samb<br />

⎢( mg / kg − soil)<br />

⎥ = ρ<br />

⎡<br />

⎣<br />

⎦ θws + ksρs + Hθas<br />

⎢1<br />

⎣⎢<br />

or CM-3b:<br />

whichever is less<br />

[ ] +<br />

( )<br />

⎡ 3<br />

mg / m − air<br />

VF ⎢<br />

samb<br />

⎢ mg / kg − soil<br />

⎣<br />

( )<br />

3<br />

x10<br />

Uairδair L ⎤<br />

s<br />

Ds eff ⎥<br />

W ⎦⎥<br />

⎤<br />

⎥ W sds<br />

3<br />

10<br />

⎥ = ρ<br />

Uairδairτ x<br />

⎦<br />

Equation CM-4: Subsurface Soil to Enclosed Space Volatilization Factor (VFsesp)<br />

ER: air<br />

exchange<br />

rate<br />

L s<br />

enclosed-space<br />

foundation cracks<br />

,,,,,,,,,,,,,,<br />

d i f f u s i n g<br />

affected subsurface soils<br />

W<br />

v a p o r s<br />

L<br />

b<br />

: Vol. / Infil. Area Ratio<br />

L crack : Foundation<br />

Thickness<br />

vadose zone<br />

CM-4a:<br />

Hρ<br />

⎡<br />

s Ds eff / L ⎤<br />

s<br />

⎡ 3<br />

( mg / m − air)<br />

⎤<br />

⎢ ⎥<br />

ws ks s H as ER LB<br />

VF ⎢<br />

⎥<br />

[ 3<br />

sesp<br />

10<br />

⎢( mg / kg − soil)<br />

⎥ = θ + ρ + θ ] ⎣⎢<br />

⎦⎥<br />

x<br />

⎣<br />

⎦ Ds eff / Ls<br />

Ds eff / L<br />

1 + ⎡ s<br />

ER L eff<br />

⎣ ⎢ ⎤<br />

⎡<br />

⎤<br />

⎥<br />

⎢ B ⎦⎥ + ⎢<br />

⎥<br />

( Dcrack<br />

/ L<br />

⎣⎢<br />

crack ) η<br />

⎦⎥<br />

or CM-4b:<br />

whichever is less<br />

( )<br />

⎡ 3<br />

mg / m − air<br />

VF ⎢<br />

sesp<br />

⎢ mg / kg − soil<br />

⎣<br />

( )<br />

⎤<br />

⎥ sds<br />

3<br />

10<br />

⎥ = ρ LBERτ x<br />

⎦<br />

FIGURE 2. CROSS-MEDIA PARTITIONING EQUATIONS IN THE RBCA SPREADSHEET SYSTEM<br />

Continued<br />

NGWA Petroleum Hydrocarbons Conference 4 <strong>Parameter</strong> <strong>Estimation</strong> <strong>Guidelines</strong><br />

Houston, Texas, November 1996<br />

<strong>for</strong> RBCA Modeling

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