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

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Groundwater Services, Inc. Equation CM-1: Surface Soil Volatilization Factor (VFss) Uair breathing zone d affected surficial soils W δ air diffusing vapors CM-1a: VF ss ( ) 3 ⎡ eff mg / m − air ⎤ 2W s Ds H ⎢ ⎥ ⎣⎢ ( mg / kg − soil) ⎦⎥ = ρ Uairδair πτ θ + k ρ + Hθ or CM-1b: VF whichever is less Equation CM-2: Soil Particulate Emission Factor (PEF) ss ( ) 3 ⎡ mg / m − air ⎢ ⎣⎢ mg / kg − soil ( ) ( ) × ws s s as ⎤ Wρsd ⎥ = × 10 ⎦⎥ Uairδairτ 3 10 3 Uair d P e breathing zone affected surficial soils δ air diffusing vapors ( ) 3 ⎡ mg / m − air PEF⎢ ⎣⎢ mg / kg − soil ( ) ⎤ PW e ⎥ = × 10 ⎦⎥ Uairδ air 3 W Equation CM-3: Subsurface Soil Volatilization Factor (VFsamb) L s U air breathing zone δair vadose zone d i f f u s i n g v a p o r s affected subsurface soils W CM-3a: ⎡ 3 ( mg / m − air) ⎤ H VF ⎢ ⎥ s samb ⎢( mg / kg − soil) ⎥ = ρ ⎡ ⎣ ⎦ θws + ksρs + Hθas ⎢1 ⎣⎢ or CM-3b: whichever is less [ ] + ( ) ⎡ 3 mg / m − air VF ⎢ samb ⎢ mg / kg − soil ⎣ ( ) 3 x10 Uairδair L ⎤ s Ds eff ⎥ W ⎦⎥ ⎤ ⎥ W sds 3 10 ⎥ = ρ Uairδairτ x ⎦ Equation CM-4: Subsurface Soil to Enclosed Space Volatilization Factor (VFsesp) ER: air exchange rate L s enclosed-space foundation cracks ,,,,,,,,,,,,,, d i f f u s i n g affected subsurface soils W v a p o r s L b : Vol. / Infil. Area Ratio L crack : Foundation Thickness vadose zone CM-4a: Hρ ⎡ s Ds eff / L ⎤ s ⎡ 3 ( mg / m − air) ⎤ ⎢ ⎥ ws ks s H as ER LB VF ⎢ ⎥ [ 3 sesp 10 ⎢( mg / kg − soil) ⎥ = θ + ρ + θ ] ⎣⎢ ⎦⎥ x ⎣ ⎦ Ds eff / Ls Ds eff / L 1 + ⎡ s ER L eff ⎣ ⎢ ⎤ ⎡ ⎤ ⎥ ⎢ B ⎦⎥ + ⎢ ⎥ ( Dcrack / L ⎣⎢ crack ) η ⎦⎥ or CM-4b: whichever is less ( ) ⎡ 3 mg / m − air VF ⎢ sesp ⎢ mg / kg − soil ⎣ ( ) ⎤ ⎥ sds 3 10 ⎥ = ρ LBERτ x ⎦ FIGURE 2. CROSS-MEDIA PARTITIONING EQUATIONS IN THE RBCA SPREADSHEET SYSTEM Continued NGWA Petroleum Hydrocarbons Conference 4 Parameter Estimation Guidelines Houston, Texas, November 1996 for RBCA Modeling
Groundwater Services, Inc. Continued Equation CM-5: Groundwater Volatilization Factor (VFwamb) Uair breathing zone δ air L gw h v d i f f u s i n g v a p o r s h c dissolved plume groundwater vadose zone capillary zone ( ) ⎡ 3 mg / m − air ⎤ VF ⎢ ⎥ 3 wamb 10 ⎢ ( mg/L − H2O) ⎥ = Η Uair air L ⎣ ⎦ 1 + ⎡ x GW eff ⎣ ⎢ δ ⎤ ⎥ ⎢ WDws ⎦⎥ W Equation CM-6: Groundwater to Enclosed Space Volatilization Factor (VFwesp) L b : Vol. / Infil. Area Ratio L crack : Foundation ER: air Thickness exchange enclosed-space rate foundation cracks ,,,,,,,,,,,,,, ,,,,,,,,,,,,,, vadose zone h v L gw d i f f u s i n g v a p o r s h c dissolved plume capillary zone ⎡ H D eff ws / L ⎤ GW ⎡ 3 ( mg / m − air) ⎤ ⎢ ⎥ ER LB VF ⎢ ⎥ 3 wesp 10 ⎢( mg / L − H2O) ⎥ = ⎣⎢ ⎦⎥ x eff eff ⎣ ⎦ Dws / LGW Dws / LGW 1 + ⎡ ⎤ ⎡ ⎤ ⎢ ⎥ ER L eff ⎣⎢ B ⎦⎥ + ⎢ ⎥ ( Dcrack / L ⎣⎢ crack ) η ⎦⎥ groundwater W Equation CM-7: Soil Leachate Partition Factor(Ksw) Equation CM-8: Leachate-Groundwater Dilution Factor (LDF) I: Infiltration Rate affected soils vadose zone ( ) ⎡ mg / L − H2O ⎤ ρ K s sw ⎢ ⎥ = ⎣ ( mg/kg − soil) ⎦ θws + ksρs + Hθas V gw leachate dissolved plume groundwater W δgw mixing zone Vgwδgw LDF[ dimensionless]= 1 + IW FIGURE 2. CROSS-MEDIA PARTITIONING EQUATIONS IN THE RBCA SPREADSHEET SYSTEM Continued NGWA Petroleum Hydrocarbons Conference 5 Parameter Estimation Guidelines Houston, Texas, November 1996 for RBCA Modeling
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