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<br />FEBRUARY 1988 <br /> <br />DA V1D W. REYNOLDS AND ARUNAS P. KUCIAUSKAS <br /> <br />155 <br /> <br />type and develop a rationale for the onset of SL W <br />within these events. From this study it appears that of <br />63 storms, 37 have characteristics similar to the 3 <br />storms described here. This indicates that 60% of the <br />precipitation events might have characteristics in which <br />satellite and radar imagery could provide information <br />as to the onset or increase in SLW. <br />Knowing when winter mountain clouds contain ex- <br />cesses in SL W has a direct impact on winter cloud <br />modification programs. These results show that the <br />highest amounts of SL W exist in the shallow, warm- <br />topped orographic clouds containing ernbedded con- <br />vection and generally having low precipitation rates <br />(<2 mm h -I). These results are in agreement with the <br />earlier studies of Grant and Elliott (1974), Hobbs <br />(1975), Hill (1980), Rauber and Grant (1986), Elliott <br />(1987), and Hill (1987). Additionally, these clouds are <br />conducive to seeding because the SL W exists in the <br />colder more convective airmass which serves to in- <br />crease the dispersal of seeding material and to increase <br />the activation of AgI nucleant. <br /> <br />Acknowledgments. Preparation of this paper was <br />supported by the Department of Interior, Bureau of <br />Reclamation. One author was supported under Bureau <br />of Reclamation Contract 4-CR-81-03860. The authors <br />wish to acknowledge the contributions to the SCPP <br />made by many scientists, pilots, technicians, and other <br />personnel both within and outside the Bureau of Rec- <br />lamation. The authors would like to especially thank <br />Professor Dusan Djuric for his detailed review and <br />constructive criticism of the original manuscript. Ap- <br />preciation goes to Mrs. Bernie Culver for typing the <br />manuscript and to personnel of the Bureau's Mid-Pa- <br />cific Region and Mrs. Carol Wilcox for drafting the <br />figures. <br /> <br />APPENDIX <br /> <br />'- <br /> <br />The 2500 Condensate Supply Rate Calculation <br /> <br />For a simple two-dimensional, steady state, stable <br />orographic flow as depicted in Fig. 14, the vapor flux <br />(Fo) into the region at x = Xo is given by <br /> <br />Fo = qoVoMoAY <br />g <br /> <br />while the vapor flux out (FI) at x = XI is <br /> <br />qlVIMIAy <br />FI = , <br />g <br /> <br />where q is the specific humidity (or mixing ratio), AP <br />the layer thickness in pressure units, V the horizontal <br />velocity in the x-direction, Ay an arbitrary distance <br />perpendicular to the flow, and g gravity. <br />Since the change in vapor content between Xo and <br />XI is due to condensation by adiabatic lift, the conden- <br />sate supply rate (CSR) is equal to Fo - Fl, This can <br /> <br />VO,lIPO <br />qo <br /> <br />VI ,t>P 1 ....l <br /> <br /> <br />~ <br /> <br /> <br />Xl <br /> <br />==> <br /> <br />Xo <br /> <br />fIa. 14. Schematic two-dimensional flow across a mountain barrier. <br /> <br />be simplified by noting that when mass inflow equals <br />flow out (neglecting water substance changes) <br /> <br />APo Vo API VI <br /> <br />g g <br /> <br />which gives <br /> <br />VoMol.ly <br />CSR = -- (qo - ql).. <br />g <br /> <br />Changing this to a representation in units of depth <br />per unit area gives <br /> <br />VoAPo <br />CSR = -(qo - ql) <br />Pwg!:ix <br /> <br />where Pw = density of water. <br />At the bottom of the tirne-height sections shown in <br />Figs. 2, 7, and 12, CSR was computed for each 5 mb <br />layer from the surface to 5 krn assurning a 1.2 km lift <br />for each layer, and !:ix = 70 km (i.e., a 70 km wide <br />upslope region along the 2500 wind component, per- <br />pendicular to the Sierra Nevada, so that <br /> <br />CS = APoVo cos(a - 2500qo - ql) <br />R 2500 Pwg!:ix ' <br /> <br />where a is the layer-averaged wind direction from the <br />SHR sounding, qo - ql the adiabatic condensate frorn <br />a lift of 1.2 km, and Vo the layer interpolated wind <br />speed frorn the SHR sounding. <br />Based on this fairly sirnple calculation, the values <br />derived should be considered as rough approximations <br />and are provided to show relative increases or decreases <br />in available condensate. <br /> <br />REFERENCES <br /> <br />Bergeron, T., 1937: On the physics of fronts. Bull.. Amer. Meteor. <br />Soc.. 18, 265-275. <br />Browning, K. A., 1985: Conceptual models of precipitation systems. <br />Meteorological Magazine. 114,293-319. <br />-, and G. A. Monk, 1982: A simple model for the synoptic analysis <br />of cold fronts. Quarterly J. Roy. Meteor. Soc.. 101, 893-900. <br />Elliott, R. D., 1987: Review of wintertime orographic cloud seeding. <br />Precipitation Enhancement-A Scientific Review. Meteor. <br />Monogr., R. R. Braham, Ed., 21, 87-101. <br />Aueck, J. H., and D. W. Reynolds, 1986: A forecast experiment on <br />the prediction of cloud conditions suitable for treatment in the <br />Sierra Nevada. Preprints Tenth Conf. on Weather Modification <br />of the AMS, 27-30 May, Arlington, VA, 13-17. <br />