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<br />The HMS methodology to relating radar reflectivity to rainfall approaches <br />the solution of this problem from another direction. In over 90 percent of the <br />operational heavy rain days in the Urban Drainage & Flood Control District since <br />1985, HMS has observed thaI: the heaviest rainfall has occurred when the <br />strongest radar reflectivity fiElld of a thunderstorm pa~.ses over the rain <br />gauges. The HMS method uses the radar reflectivity to Ilocate the portion of the <br />cloud where the heaviest rainfall is located rather than using its strength to <br />calculate a rainfall rate. Given the validity of this assumption, the next step is to <br />calculate the peak rainfall rate associated with the storm which can in turn be <br />related to the strongest radar reflectivity values, <br /> <br />HMS has predicted the quantitative precipitation associated with <br />thunderstorms since 1979 in the Urban Drainage & Flood Control District. Since <br />late 1981, it has used a combination of surface weather station data, upper air <br />soundings plotted on a Skew T, Log P diagram and a 2-D cloud methodology to <br />predict the peak rainfall rate associated with thunderstorms. HMS has found that <br />the depth of a thunderstorm's updraft which is warmer than freezing is directly <br />related to the rain-making potential of the cloud. Henz (1995) describes this <br />process in detail and a copy of the paper is included in Appendix A. When the <br />warm depth of the updraft exceeds 1,5 km in Colorado, for instance, the rain- <br />making potential of the cloud doubles, <br /> <br />Equations 2 to 4 below show simplified forms of this relationship: <br /> <br />(2) Peak GO-minute rainfall = PWI times (Depth of updraft warm layer) times 2' <br />1.5km <br /> <br />(3) Peak 30-minute rainfall = 0.7'0(Peak GO-min rain) <br /> <br />(4) Peak 10-minute rainfall = 0.6;0(Pellk 30-min rain) <br /> <br />. Note that the doubling occurs onll' if the depth of warm layer eXlceeds 1.5 km <br /> <br />where the Precipitable Water Index (PWI) is a measure of IIhe amount of water in <br />the air from the surface to about 20,000 feet. In effect, the calculated peak 60- <br />,30-,10- minute rainfall rates are assumed to occur in the grids covered by the <br />50 dBZ or greater radar reflectivity in the thunderstorm with appropriate time <br />apportionment. Lower rain rates are logarithmically down-stepped to the lower <br />radar reflectivity values. <br /> <br />HMS generates a matrix of rainfall rates which are derived from surface <br />temperature and dew point fields used to initialize the 2-D model output. For <br />each set of surface temperature-dew point combinations, HMS creates a unique <br />radar-rainfall relationship for prec:ipitation mapping. A weather station network <br />provides information on observed surface temperature/dew point values in the <br />District. For the night of July 1 in, HMS used the PROFS mesonet of automated <br /> <br />'5 <br />