t1 = (d)*([THETA]) ÷ ([ALPHA]) * 365
Where:
t1 = vertical travel time (days)
[ALPHA] is total effluent recharge - the maximum allowable leakage rate or actual measured leakage rate if the measured rate is available (in/yr)
[THETA] is volumetric soil moisture (percent)
d is the depth to groundwater (in)
The horizontal travel time in the saturated zone for the wastewater to reach the water well is calculated using the following equations:
t2 = [ne(K*i)] * [x - {(Q÷(2*p*K*b*i)) * (ln(1+((2*p* K*b*i*x)÷Q)))}]
Where:
t2 = horizontal travel time (days)
K is hydraulic conductivity of the saturated aquifer (feet/day)
i is hydraulic gradient (feet/feet)
ne is effective porosity (dimensionless)
[PI] is pi, 3.14 (dimensionless)
ln is natural logarithm
Q is the maximum day well demand (feet3/day)
x is the horizontal distance from the sewage lagoon to the water well (feet). Value is positive when well is downgradient of sewage lagoon, negative if well is upgradient of sewage lagoon.
The total log pathogen reduction from the bottom of the sewage lagoon to the water well is calculated using the following equation:
Pt = (t1 + t2)*0.02
Where:
Pt = Log reduction of pathogens during vertical and horizontal travel
0.02 = log 10 pathogen removal/day
The horizontal log reduction is calculated using the following equation:
Ph = (t2)*0.02
Where:
Ph = Log reduction of pathogens during horizontal travel
The pathogen reduction during vertical movement in the vadose zone is calculated using VIRULO. The value of Ph is added to VIRULO results to provide the total pathogen reduction from the bottom of the sewage lagoon to the water well.
TABLE 1 | |
MATERIAL | HYDRAULIC CONDUCTIVITY (ft/d) |
Basalt (permeable/vesicular) | 5,100 |
Clay | 0.025 |
Clay (unweathered, marine) | 0.00054 |
Coarse sand | 2,950 |
Fine sand | 51 |
Glacial Till | 0.72 |
Glacial Till (fractured) | 29.5 |
Gravel | 13,500 |
Gravelly sand | 1,020 |
Igneous/metamorphic rock (fractured) | 76.5 |
Igneous/metamorphic rock (unfractured) | 0.000054 |
Karst limestone | 18,000 |
Limestone | 1.5 |
Limestone (unjointed, crystalline) | 0.30 |
Loess | 0.27 |
Medium sand | 569 |
Sandstone | 1.5 |
Sandstone (friable) | 3.0 |
Sandstone (well cemented, unfractured) | 0.0036 |
Sandy clay loam | 1.4 |
Sandy silt | 0.27 |
Shale | 0.00054 |
Silt | 0.27 |
Siltstone | 0.0036 |
Silty clay | 0.013 |
Silty sand | 45 |
Tuff | 7.2 |
Very fine sand | 21.4 |
Mont. Admin. r. 17.30.1702