The Concentration Probability Density Function with Implications for Probabilistic Modeling of Chemical Warfare Agent Detector Responses for Source Reconstruction


  1. Yee, E.
Corporate Authors
Defence R&D Canada - Suffield, Ralston ALTA (CAN)
The relationships between various normalized higher-order concentration moments have been investigated using a large data set of concentration fluctuations obtained in a boundary-layer water channel with high-resolution laser-induced fluorescence. This data set corresponds to a series of comprehensive measurements of plume dispersion in a number of obstacle arrays (e.g., various arrays of cubical and non-cubical obstacles in aligned and staggered arrangements with uniform and random heights). A remarkably robust feature of all the concentration data was the observed collapse, of the third -and fourth-order normalized concentration moments on the second-order normalized concentration moment and of the concentration kurtosis on the concentration skewness, to a series of "universal" curves. These "universal" curves were identical to those observed previously for open-terrain plumes, and are well modeled using either a clipped-gamma probability density function (PDF) or the simpler intermittent exponential PDF for the concentration. A comparison of the shape of the model probability distributions to the measured concentration data at various plume locations showed that the clipped-gamma distribution provided a good representation for the general distribution shape, whereas the simpler intermittent exponential distribution yielded a poor conformance to the measured concentration probability distribution (in spite of the fact that both of the model distributions gave a good represe

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concentration fluctuations;concentration moments;obstacle arrays;concentration probability density function;chemical sensor response modeling
Report Number
DRDC-SUFFIELD-TR-2008-077 — Technical Report
Date of publication
01 May 2008
Number of Pages

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