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<br />I <br /> <br />I <br /> <br />I <br /> <br />direction. There is considerable scatter due, in part, to the inclusion of <br />stable cases. Note that the majority of the points are below the line of <br />one -to-one correlation. Figure 4 show s the plume mean direction plotted <br />against the mean Emerald wind direction. Again, there is considerable <br />scatter, and the plume vector is generally above the one-to-one line. <br />Whether the upper-air wind direction or the release-point wind best des- <br />cribe s the direction of plume travel depends on the individual case. <br /> <br />Lateral plume growth is related to the Lagrangian statistic v,2 <br />describing the mean eddy energy. Fuquay (1964) has shown that this <br />quantity can be approximated by: <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />,2 2 (" 2 <br />v = u De <br /> <br />I <br /> <br />and that the parameter for determining lateral plume growth is 6e U <br />and not 6e alone. His results with experimental data show conclusively <br />that 6 _:' U is supe rior to (~,_, as a predictor. He also found that the effect <br />\,~ ~} <br /> <br />I <br /> <br />of stability on the late ral plume growth was small for his data. <br /> <br />I <br /> <br />Figure 5 shows the subjective estimates of plume width plotted <br />against the parameter 6e u, i. e., the standard deviation of five second <br />wind direction values over the release period times the mean release <br />site wind speed. The line of be st fit from the previous season I s data <br />is also shown. There is considerable scatter, which is probably due, <br />in part, to the subjective determination of plume width, but also to the <br />fact that observed instantaneous lateral plume widths often change very <br />rapidly with time and with elevation. Figure. 6 show s plume width versus <br />the standard deviation of wind direction, and the scatter appears comparable <br />to that of Figure 5. In Figure 7, the plume width is plotted versus the <br />standard deviation of wind speed and an inverse relationship is indicated. <br />The se re sults sugge st that the diffusion problem in mountainous terrain <br />is so complex that it does not lend itself to statistical treatment with a <br />limited number of samples; each case must be studied individually. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />- 17 - <br />