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<br />apparent decreases again at the warmest <br /> <br />LemperaLure::; . <br /> <br />The Climax and Wolf Creek Pass <br />curves are somewhat similar. The major differences <br />appear to be a slight shift of the mean daily snowfall <br />peak toward warmer temperatures and a less pro- <br />nounced peak around -14C to -15C for the Climax <br />data. The reduction of mean daily snowfall at the <br />warmer temperatures is less pronounced for the Wolf <br />Creek Pass sample. This may be due to accretion <br />which is observed with greater frequency in the Wolf <br />Creek Pass area. <br /> <br />The shift toward warmer temperatures <br />of the mean daily snowfall peak at Climax is anticipated <br />by the model. Figure 3 shows that for representative <br />Climax conditions the 500 mb temperature mode that <br />provides optimum ice nuclei concentrations is from <br />-2lC through -23C, Assuming the secondary peaks of <br />daily snowfall around -14C to -15C are a result of <br />dendritic growth, the more pronounced effect at Wolf <br />Creek Pass might be explained by a greater frequency <br />of cloud systems having higher supersaturations and <br />somewhat more maritime characteristics. <br /> <br />The distribution of natural precipitation <br />with respect to 500 mb temperatures suggests a <br />deficiency of effective ice nuclei may exist in the <br />warmer cloud systems. This deficit may on occasion <br />be alleviated by an ice crystal multiplication process <br />in the dendritic range around -15C. This is much more <br />in evidence at Wolf Creek Pass than at Climax. A <br />ratio of ice crystal concentration to corresponding ice <br />nuclei concentration that increases exponentially with <br />temperature is not reflected in the natural precipita- <br />tion data from Wolf Creek Pass and Climax. There- <br />fore, artificial augmentation of natural snowfall at <br />warmer cloud top temperatures and when high <:loud <br />water supply rates exist appears probable. <br /> <br />g. The accretion process <br />Equation 10 can be written as <br />Nc = (k)f (w /r) G(T) (13) <br />where Nc is the optimum ice crystal concentration, <br />k is a constant, w is the vertical motion in pressure <br />coordinates, r is the radius of the ice crystal and <br />G(T) is a function of the cloud system temperature. <br /> <br />As pointed out previously, the crystal <br />size is free to adapt to changes in the cloud water <br />supply due to variations in the upward speed. Thus, <br />additional ice crystals may not be needed to utilize <br />increases in cloud water if larger crystal sizes can <br />be grown. A limiting condition comes into play, <br />however, when the crystal size required to maximize <br />the precipitation process becomes too large. Under <br />these conditions the cry stals may be unable to remain <br />in the cloud system for a sufficient growth period or <br />the accretion process may begin to contribute sj~g- <br />nificantly to cloud water removal. The residence <br />time of ice crystals is frequently limited by the <br />relatively small horizontal extent of orographic clouds <br />over the mountains. Therefore, there is frequently <br /> <br />an upper limit placed on the crystal size by the <br />g8Uli1etl'Y uI the Ul'ugl'dIJl1ic cloud. Thi::; re::;Lric Lion <br />on crystal size not only tends to limit the amoun t of <br />cloud water that can be removed by diffusional growth <br />of ice, but also affects possible accretional growth. <br />The reason is that the amount of cloud water removed <br />by accretion is also a function of ice crystal size. <br />This is seen in the expression for the rate of mass <br />growth of a falling crystal by accretion usually given <br />by <br /> <br />2 <br />'dm/dt = nr E(V - Vd) Q <br />c c <br />where r is crystal radius, Q is liquid water content, <br />(V - V ) the difference in fan velocities between <br />crjstaldand supercooled droplet, and E the collection <br />efficiency. <br /> <br />(14) <br /> <br />In utilizing equation (14), it is usually <br />assumed that V ,< < V. The collection efficiency E <br />of ice crystals ?s notCwell known. It is not only a <br />function of crystal size but of crystal habit and there- <br />fore is related to cloud system teniperatures. <br /> <br />The crystal radii associated with the <br />onset of riming are generally noted to be in the range <br />of 1 O~ to 400 II but large crystals (1000 II ) without <br />riming are frequently observed. <br /> <br />The studies at Climax indicate that <br />accretional growth definitely plays a subordinate role <br />to that of diffusional growth at that location. There <br />is evidence that this may not be true in some of the <br />warmer storms over the San Juan barrier, This is <br />seen in Figure 5 where the mean daily snowfall on <br />Wolf Creek Pass does not show an abrupt decrease at <br />the warmer cloud top temperatures. <br /> <br />The fact that nature relies on accretion <br />for the removal of cloud water does not necessarily <br />mean this process should be utilized in an operational <br />precipitation management program. In general we <br />have the relationship <br />I = 0 +0 + L (15) <br />c D Acc <br />where I is the input condensate formed in lifting the <br />, airmasEf over the mountain barrier, 0 is the <br />precipitation output due to diffusional B-owth of ice <br />cryst81s, 0 is the precipitation output due to <br />accretion orS'bud droplets to ice crystals, and Lis <br />the cloud water lost to precipitation through inef- <br />ficient processes involving evaporation to the <br />atmosphere. <br /> <br />The core of the problem is to reduce <br />the loss (L) to a minimum. Whether the cloud water <br />is brought to the ground by diffusional or accretional <br />growth is of no importance in itself. However, there <br />will be times when the naturally occurring accretion <br />process has the capability of bringing more cloud <br />water to the ground than if the prec ipitation process <br />was converted entirely to one of diffusional growth. <br /> <br />The accretion process might help <br />solve a particular targeting pr oblem. The higher fall <br />velocities of the rimed crystals might be utilized to <br />optimize precipitation as near the upwind portion of <br />the cloud as possible. This need might arise under <br /> <br />11 <br />