Rule 24.
EQUATION FOR CARCINOGENIC EFFECTS:
where, | ||
SVIIC | (Soil volatilization indoor air inhalation criterion) | = chemical-specific, ug/kg |
TR | (Target risk level) | = 10-5 |
AT | (Averaging time) | = 25,550 days (70 years x 365 days/year) |
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 soil concentration) | = chemical-specific, (ug/m3)/(ug/kg) |
EQUATION FOR NONCARCINOGENIC EFFECTS:
where, | ||
SVIIC | (Soil volatilization indoor air inhalation criterion) | = chemical-specific, ug/kg |
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 soil concentration) | = chemical-specific, (ug/m3)/(ug/kg) |
The contaminant vapor concentration in the building indoor air is written as:
where, | ||
CRbuilding | (Ratio of indoor air concentration to soil concentration) | = chemical-specific, (ug/m3)/(ug/kg) |
[ALPHA] | (Attenuation coefficient) | = chemical-specific, Unitless |
CRsoilsource | (Ratio of soil vapor concentration to soil/source concentration) | = chemical-specific, (ug/m3)/(ug/kg) |
The vapor-phase contaminant concentration at the source for soil is written as:
where, | ||
CRsoil source | (Ratio of soil vapor concentration to soil/source concentration) | = chemical-specific, (ug/m3)/(ug/kg) |
H' | (Dimensionless Henry's law constant, where H' = HLC x 41) | = chemical-specific, unitless |
HLC | (Henry's law constant at 25 degrees Celsius) | = chemical-specific, (atm-m3/mol) |
TAF | (Temperature adjustment factor) | = 0.5, unitless |
Cs | (Uniform concentration in soil) | = 1 ug/kg |
[RHO]b | (Dry soil bulk density) | = 1.5 g/cm3 |
[THETA]w | (Soil water-filled porosity) | = 0.3 cm3/cm3 |
kd | (Soil-water partition coefficient) | = chemical-specific, cm3/g (equivalent to L/kg) |
For organic compounds | = Koc (cm3/g) x foc (g/g) | |
For inorganic compounds | = chemical-specific, cm3/g | |
K oc | (Soil organic carbon partition coefficient) | = chemical-specific, cm3/g |
f oc | (Fraction of organic carbon content of soil) | = 0.002 g/g (0.2%) |
[THETA]a | (Soil air-filled porosity) | = 0.13 cm3/cm3 |
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 subsurface soil into enclosed spaces. An attenuation coefficient ([ALPHA]) 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 |
Deffv | (Effective diffusion coefficient through vadose zone) | = 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) | = 15 cm (All land use categories) |
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 |
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) |
[THETA]w | (Soil water-filled porosity) | = 0.3 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 or no further action report.
Mich. Admin. Code R. 299.24