Brian Jackson edited subsection_Single_Barometer_Surveys_In__.tex  almost 9 years ago

Commit id: 4e6182fbbf5a140a1334bb509c1aa8f47ee80c43

deletions | additions      

       

\subsection*{Single Barometer Surveys}  In this kind of survey, one or more barometric sensors deployed in-situ record a pressure time series at a sampling rate $\lesssim 1$ s. A low-pressure convective vortex, a dust devil has a pressure depth $\Delta P$ at its center and a radial profile $P(r)$ resembling a Lorentz function with width $\Gamma$: $P(r) = \dfrac{\Delta P}{1 - \left( r/\Gamma \right)^2}$. Dust devils are usually carried by the background wind, with a velocity $\upsilon$, and so a dust devil passing near the barometer registers as a distinctive dip in pressure, with a profile width in time $\Gamma^\prime = \Gamma/\upsilon$. Figure \ref{fig:} from \cite{Jackson_2015} \citet{Jackson_2015}  shows a typical profile. However, the center of the devil is very unlikely to pass directly over the sensor, and so the observed pressure minimum $\Delta P_{\rm obs}$- and width $\Gamma_{\rm obs}$-values will probably differ from the dust devil's intrinsic values. As a consequence, the population of dust devil signals recovered from a single barometer survey may differ significantly from the underlying population.