Rule 14.
EQUATION FOR CARCINOGENIC EFFECTS:
where, | ||
GVIIC | (Groundwater volatilization indoor air inhalation criteria) | = chemical-specific, ug/L |
TR | (Target risk level) | = 10-5 |
AT | (Averaging time) | = 25,550 days (70 x 365) |
AIR | (Adjusted inhalation rate) | = 1 (residential) = 2 (nonresidential) |
IURF | (Inhalation unit risk factor) | = chemical-specific, (ug/m3)-1 |
EF | (Exposure frequency) | = 350 days/year (residential) = 245 days/year (nonresidential) |
ED | (Exposure duration) | = 30 years (residential) = 21 years (nonresidential) |
CRbuilding | (Ratio of indoor air concentration to groundwater concentration) | = chemical-specific, (ug/m3)/(ug/L) |
EQUATION FOR NONCARCINOGENIC EFFECTS:
where, | ||
GVIIC | (Groundwater volatilization indoor air inhalation criteria) | = chemical-specific, ug/L |
THQ | (Target hazard quotient) | = 1 |
AT | (Averaging time) | = 10,950 days (residential) = 7,665 days (nonresidential) |
EF | (Exposure frequency) | = 350 days/year (residential) = 245 days/year (nonresidential) |
ED | (Exposure duration) | = 30 years (residential) = 21 years (nonresidential) |
ITSL | (Initial threshold screening level) | = chemical-specific, ug/m3 |
CRbuilding | (Ratio of indoor air concentration to groundwater concentration) | = chemical-specific, (ug/m3)/(ug/L) |
The ratio of the indoor air concentration to the groundwater concentration is calculated as:
where, | ||
CRbuilding | (Ratio of indoor air concentration to groundwater concentration) | = chemical-specific, (ug/m3)/(ug/L) |
[ALPHA] | (Attenuation coefficient) | = chemical-specific, unitless |
CRgw source | (Ratio of soil vapor concentration to groundwater/source concentration) | = chemical-specific, (ug/m3)/(ug/L) |
The soil vapor-phase concentration generated from a hazardous substance in groundwater is assumed to be in equilibrium with the aqueous phase concentration (Cw) of that substance as related by the dimensionless Henry's law constant (H') such that:
where, | ||
CRgw source | (Ratio of soil vapor concentration to groundwater/source concentration) | = chemical-specific, (ug/m3)/(ug/L) |
H | (Dimensionless Henry's law constant, where H' = HLC x 41) | = chemical-specific, unitless |
HLC | (Henry's law constant at 25 degrees | = chemical-specific, |
Celsius) | (atm-m3/mol) | |
TAF | (Temperature adjustment factor) | = 0.5, unitless |
Cw | (Uniform unit groundwater concentration) | = 1 ug/L |
The intrusion rate of hazardous substance vapors into buildings is predicted using an analytical solution which couples both diffusive and convective transport of vapors emanating from groundwater into enclosed spaces. An attenuation coefficient (a) is calculated that is expressed as the ratio of building indoor air concentration to the vapor-phase concentration at the source. Values of [ALPHA] are calculated assuming infinite source conditions. For infinite source conditions [ALPHA] is written as follows:
where, | ||
[ALPHA] | (Attenuation coefficient) | = unitless |
DeffT | (Total effective diffusion coefficient) | = chemical-specific, cm2/s |
Dcrack | (Effective diffusion coefficient through crack) | = cm2/s, (Dcrack = Deffv , see equation for Deffv below) |
Ab | (Area of enclosed space below grade) | = 1.96E+6 cm2 (residential) = 3.83E+6 cm2 (nonresidential) |
Qbuilding | (Building ventilation rate) | = 1.51E+5 cm3/s (residential) = 5.04E+5 cm3/s (nonresidential) |
Lcrack | (Building foundation thickness) | = 15 cm |
LT | (Source-building separation distance) | = 115 cm (residential) = 300 cm (nonresidential) |
Qsoil | (Volumetric flow rate of soil vapor into the building) | = 0.81 cm3/s (residential) = 2.10 cm3/s (nonresidential) |
Acrack | (Total area of cracks below grade) | = 196 cm2 (residential) = 383 cm2 (nonresidential) |
exp(p) | (The base of the natural logarithm raised to power p) | = ep |
To characterize contaminant diffusion from groundwater into buildings a total effective diffusion coefficient (DeffT ) is calculated to account for both liquid phase diffusion of the contaminant through the capillary fringe, (Dcfeff ) , and vapor phase diffusion through the vadose zone, (Deffv ). The calculation is as follows:
where, | ||
DeffT | (Total effective diffusion coefficient) | = chemical-specific, cm2/s |
LT | (Source-building separation distance) | = 115 cm (residential) = 300 cm (nonresidential) |
hv | (Thickness of vadose zone below enclosed space floor) | = 75 cm (residential) = 260 cm (nonresidential) |
Lcrack | (Building foundation thickness) | = 15 cm |
Deffv | (Effective diffusion coefficient through vadose zone) | = chemical-specific, cm2/s |
hcf | (Thickness of capillary fringe) | = 25 cm |
Deff cf | (Effective diffusion coefficient through capillary fringe) | = chemical-specific, cm2/s |
The effective diffusion coefficient calculation for the vadose zone (Deffv ) is written as:
where, | ||
Deffv | (Effective diffusion coefficient through vadose zone) | = chemical-specific, cm2/s |
Da | (Diffusivity in air) | = chemical-specific, cm2/s |
[THETA]a | (Soil air-filled porosity) | = 0.13 cm3/cm3 |
N | (Total soil porosity) | = 0.43 cm3/cm3 |
Dw | (Diffusivity in water) | = chemical-specific, cm2/s |
H | (Dimensionless Henry's law constant, where H' = HLC x 41) | = chemical-specific, unitless |
HLC | (Henry's law constant | = chemical-specific, (atm-m3/mol) |
TAF | (Temperature adjustment factor) | = 0.5 |
[THETA]w | (Soil water-filled porosity) | = 0.3 cm3/cm3 |
The effective diffusion coefficient calculation for the capillary fringe (Deffcf ) is written as:
where, | ||
Deffcf | (Effective diffusion coefficient through capillary fringe) | = chemical-specific, cm2/s |
Da | (Diffusivity in air) | = chemical-specific, cm2/s |
[THETA]a,cf | (Soil air-filled porosity in capillary fringe) | = 0.078 cm3/cm3 |
Dw | (Diffusivity in water) | = chemical-specific, cm2/s |
H | (Dimensionless Henry's law constant, where H' = HLC x 41) | = chemical-specific, unitless |
HLC | (Henry's law constant) | = chemical-specific, (atm-m3/mol) |
TAF | (Temperature adjustment factor) | = 0.5 |
[THETA]w,cf | (Soil water-filled porosity in capillary fringe) | = 0.352 cm3/cm3 |
N | (Total soil porosity) | = 0.43 cm3/cm3 |
Facility-specific measurements shall be based on representative characterization. Documentation of all facility specific values shall be provided in the response activity plan, no further action report, or other response activity documentation.
Mich. Admin. Code R. 299.14