Quantifying Uncontrolled Landfill Gas Emissions from Two Florida ...
Quantifying Uncontrolled Landfill Gas Emissions from Two Florida ...
Quantifying Uncontrolled Landfill Gas Emissions from Two Florida ...
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d<br />
f<br />
e<br />
c<br />
b<br />
PDCs<br />
Y<br />
X<br />
a<br />
2<br />
12( y)( z) ( r⋅ sinθ − mz) ⎤⎫ ⎪<br />
2ρ r⋅ cosθ − m r⋅ sinθ − m<br />
Gr (, ) = exp⎨−<br />
2 ⎢<br />
A<br />
⎧<br />
⎪ 1 ⎡ ( r⋅ cosθ−<br />
my)<br />
− + ⎥<br />
2 2 ⎬<br />
2<br />
θ<br />
2<br />
2πσ σ 1−ρ 21− ( ρ ⎢ σ σσ σ 12 ) y y z z ⎥<br />
y z 12 ⎪⎩ ⎣ ⎦⎪⎭ Z<br />
Mean Wind Direction<br />
Figure A-1. Example of a VRPM Configuration Setup<br />
Fugitive Source/<br />
Area of Interest<br />
PI-ORS<br />
Instrument<br />
The SSE function is minimized using the Simplex minimization procedure to solve for the<br />
unknown parameters (Press et al., 1992). When there are more than three beams at the ground<br />
level, two Gaussian functions are fitted to retrieve skewed and sometimes bi-modal<br />
concentration profiles. This is the reason for the index j in Equation 1.<br />
Once the one-dimensional phase is completed, the two-dimensional phase of the two-phase<br />
process is applied. To derive the bivariate Gaussian function used in the second phase, it is<br />
convenient to express the generic bivariate function G in polar coordinates r and θ:<br />
A-2<br />
(2)