Investigating the Dependence of Fractal Dimension on Raindrop Size for Drop Arrival Times As Measured By a Two-Dimensional Video Disdrometer

Abstract:

There is empirical evidence that large raindrop arrival times are not perfectly random. As a way to characterize this behavior, it has been suggested that raindrop arrival times may be well described by fractal statistics. Two-Dimensional Video Disdrometer data with millisecond resolution was used to construct an ensemble of time series, each of which was associated with a small range of drop diameters for an individual storm. The monofractal dimension was determined for each of these time series. It is apparent that the fractal dimension has a clear dependence on drop size. This drop size dependence, as well as storm to storm variabilitiy, is explored.