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Step Release into Groundwater

This section of Fate will aid you in the conceptual understanding of how a constant source of pollution will flow in an isotropic or homogeneous aquifer. Inn addition, this model allows for the first order degradation of a pollutant. A leaky landfill is an excellent example of the concept demonstrated by this module.

Step 1 Manually convert input data to metric units: meters, kilograms, or curies.
Step 2: Calculate or enter the porosity of the aquifer
\[ n = 1 - \frac{ρ_b}{ρ_s}* 100% \]
Step 3: Calculate or enter the retardation factor
\[ R = 1 + \frac{Ρ_bK_d}{n/100%}\]
Step 4: Calculate first order rate constant
\[ln(\frac{C}{C_o}) = -kt_\frac{1}{2} \]

k = /year

Step 4: Enter the remaining data
Point calculation

Result:

Graph varying time
\[C_{(x,t)} = \frac{C_0}{2}(e^{(\frac{x}{2α_x})(1-(1+\frac{4kRα_x}{v})^\frac{1}{2})} (erfc(\frac{x-(\frac{v}{R}t(1+\frac{4kRα_x}{v})^\frac{1}{2}}{2(α_x\frac{v}{R}t)^{\frac{1}{2}}}))\]
Graph varying distance
\[C_{(x,t)} = \frac{C_0}{2}(e^{(\frac{x}{2α_x})(1-(1+\frac{4kRα_x}{v})^\frac{1}{2})} (erfc(\frac{x-(\frac{v}{R}t(1+\frac{4kRα_x}{v})^\frac{1}{2}}{2(α_x\frac{v}{R}t)^{\frac{1}{2}}}))\]