Rule 26.
EQUATIONS FOR CARCINOGENS:
where, | ||
VSIC | (Volatile soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
TR | (Target risk level) | = 10-5 |
AT | (Averaging time) | = 25,550 days (70 years x 365 days/year) |
IURF | (Inhalation unit risk factor) | = chemical-specific (ug/m3)-1 |
EF | (Exposure frequency) | = 350 days/year |
ED | (Exposure duration) | = 30 years |
VF | (Volatilization factor) | = chemical-specific, m3/kg |
and,
where, | ||
PSIC | (Particulate soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
TR | (Target risk level) | = 10-5 |
AT | (Averaging time) | = 25,550 days (70 years x 365 days/year) |
IURF | (Inhalation unit risk factor) | = chemical-specific (ug/m3)-1 |
EF | (Exposure frequency) | = 350 days/year |
ED | (Exposure duration) | = 30 years |
PEF | (Particulate emission factor) | = chemical-specific, m3/kg |
EQUATIONS FOR NONCARCINOGENS:
where, | ||
VSIC | (Volatile soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
THQ | (Target hazard quotient) | = 1 |
AT | (Averaging time) | = 10,950 days (30 years x 365 days/year) |
EF | (Exposure frequency) | = 350 days/year |
ED | (Exposure duration) | = 30 years |
ITSL | (Initial threshold screening level) | = chemical-specific, ug/m3 |
VF | (Volatilization factor) | = chemical-specific, m3/kg |
and,
where, | ||
PSIC | (Particulate soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
THQ | (Target hazard quotient) | = 1 |
AT | (Averaging time) | = 10,950 days (30 years x 365 days/year) |
EF | (Exposure frequency) | = 350 days/year |
ED | (Exposure duration) | = 30 years |
ITSL | (Initial threshold screening level) | = chemical-specific, ug/m3 |
PEF | (Particulate emission factor) | = chemical-specific, m3/kg |
where, | ||
VF | (Volatilization factor) | = chemical-specific, m3/kg |
Javes | (Normalized average flux from soil) | = chemical-specific, g/m2-second |
DA | (Apparent diffusivity) | = chemical-specific, cm2/second |
Q/C | (Dispersion factor for 1/2 acre) | = 82.33, g/m2-second per kg/m3 |
T | (Exposure time) | = seconds (ED x 3.1536E+7 seconds/yr) |
[THETA]a | (Soil air-filled porosity) | = 0.28 Lair/Lsoil |
N | (Total soil porosity) | = 0.43 Lpore/Lsoil |
[THETA]w | (Soil water-filled porosity) | = 0.15 Lwater/Lsoil |
[RHO]b | (Dry soil bulk density) | = 1.5 g/cm3 |
Da | (Diffusivity in air) | = chemical-specific, cm2/second |
Dw | (Diffusivity in water) | = chemical-specific, cm2/second |
H' | (Dimensionless Henry's law constant, where H' = HLC x 41) | = chemical-specific, unitless |
HLC | (Henry's law constant at 250 C) | = chemical-specific, atm-m3/mol |
TAF | (Temperature adjustment factor) | = 0.5 |
Kd | (Soil-water partition coefficient) | = chemical-specific, cm3/g |
For organic compounds | = Koc (cm3/g) x foc (g/g) | |
For inorganic compounds | = chemical-specific, cm3/g | |
Koc | (Soil organic carbon partition coefficient) | = chemical-specific, cm3/g |
foc | (Organic carbon content of soil) | = 0.006 g/g (0.6%) |
where, | ||
VF | (Volatilization factor) | = chemical-specific, m3/kg |
Q/C | (Dispersion factor for 1/2 acre) | = 82.33, g/m2-second per kg/m3 |
C0 | (Uniform contaminant concentration at t=0) | = 1.5 E-6 g/cm3 |
[RHO]b | (Dry soil bulk density) | = 1.5 g/cm3 |
Javes | (Normalized average flux from soil) | = chemical-specific, g/m2-second |
Js | (Instantaneous flux from soil at time t) | = chemical-specific, g/m2-second |
DA | (Apparent diffusivity - see equation above) | = chemical-specific, cm2/second |
T | (Time) | = seconds |
ds | (Thickness of source) | = site-specific, meters |
exp(p) | (The base of the natural logarithm raised to power (p)) | = ep |
where, | ||
VF | (Volatilization factor) | = chemical-specific, m3/kg |
Q/C | (Dispersion factor for 1/2 acre) | = 82.33, g/m2-second per kg/m3 |
AT | (Exposure period) | = scenario-specific, years |
[RHO]b | (Dry soil bulk density) | = 1.5 mg/m3 |
ds | (Average source depth) | = site-specific, meters |
where, | ||
PEF | (Particulate emission factor) | = chemical-specific, m3/kg |
Q/C | (Dispersion factor for 1/2 acre) | = 82.33, g/m2-second per kg/m3 |
Ew | (Emission due to wind) | = g/m2 per second |
Ev | (Emission due to vehicle traffic) | = g/m2 per second |
V | (Vegetative cover) | = 0.5 (50%), unitless |
EQUATIONS FOR CARCINOGENS:
where, | ||
VSIC | (Volatile soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
TR | (Target risk level) | = 10-5 |
AT | (Averaging time) | = 25,550 days (70 years x 365 days/year) |
AIR | (Adjusted inhalation rate) | = (20 m3/day)/(10 m3/day) |
IURF | (Inhalation unit risk factor) | = chemical-specific (ug/m3)-1 |
EF | (Exposure frequency) | = 245 days/year |
ED | (Exposure duration) | = 21 years |
VF | (Volatilization factor) | = chemical-specific, m3/kg |
and,
where, | ||
PSIC | (Particulate soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
TR | (Target risk level) | = 10-5 |
AT | (Averaging time) | = 25,550 days (70 years x 365 days/year) |
AIR | (Adjusted inhalation rate) | = (20 m3/day)/(10 m3/day) |
IURF | (Inhalation unit risk factor) | = chemical-specific (ug/m3)-1 |
EF | (Exposure frequency) | = 245 days/year |
ED | (Exposure duration) | = 21 years |
PEF | (Particulate emission factor) | = chemical-specific, m3/kg |
EQUATIONS FOR NONCARCINOGENS:
where, | ||
VSIC | (Volatile soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
THQ | (Target hazard quotient) | = 1 |
AT | (Averaging time) | = 7,665 days (21 years x 365 days/year) |
EF | (Exposure frequency) | = 245 days/year |
ED | (Exposure duration) | = 21 years |
ITSL | (Initial threshold screening level) | = chemical-specific, ug/m3 |
VF | (Volatilization factor) | = chemical-specific, m3/kg |
and,
where, | ||
PSIC | (Particulate soil inhalation criterion) | = chemical-specific, ug/kg or ppb |
THQ | (Target hazard quotient) | = 1 |
AT | (Averaging time) | = 7,665 days (21 years x 365 days/year) |
EF | (Exposure frequency) | = 245 days/year |
ED | (Exposure duration) | = 21 years |
ITSL | (Initial threshold screening level) | = chemical-specific, ug/m3 |
PEF | (Particulate emission factor) | = chemical-specific, m3/kg |
Modifiers | ||
Source Size (ft2 or acres) | Q/C (g/m2-s per kg/m3) | Modifier |
400 ft2 | 261.26 | 3.17 |
1000 ft2 | 180.76 | 2.2 |
2000 ft2 | 144.91 | 1.76 |
1/4 acre | 94.56 | 1.15 |
½ acre | 82.33 | 1 |
1 acre | 71.74 | 0.87 |
2 acres | 63.51 | 0.77 |
5 acres | 54.62 | 0.66 |
10 acres | 49.13 | 0.6 |
32 acres | 41.55 | 0.5 |
100 acres | 35.66 | 0.43 |
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. 299.26