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<br />street (Figure II-Ia). If there is no storm sewer all flow will be <br /> <br /> <br />carried in the street itself, which will act as a channel as shown on <br /> <br /> <br />Figure II-lb. If depth of flow is measured from the gutter flow line, <br /> <br /> <br />a depth-frequency curve for annual maxima can be developed for each <br /> <br /> <br />street section (Figure 11-2). The methodology for development of this <br /> <br /> <br />curve is a subject of controversy among urban hydrologists because of <br /> <br /> <br />a number of unresolved problems, but for the purpose of this discussion <br /> <br /> <br />it is convenient to assume that the relationship has been established. <br /> <br /> <br />Figures II-lb and II-2 show two basic depths; depth "A" reflects a m,[no!t. <br /> <br /> <br />flow which is contained within the gutter itself whereas depth "B" shows <br /> <br /> <br />the entire street flooded, up to the building line. On Figure 11-2, <br /> <br /> <br />depths A and B are shown as about one and 100 year flows respectively, <br /> <br /> <br />but this is only a hypothetical example. <br /> <br /> <br />For an actual case, the relationship shown on Figure 11-2 might <br /> <br /> <br />turn out to fit some prescribed probability distribution such as, for <br /> <br /> <br />example, log-normal. If the corresponding probability density function <br /> <br /> <br />is drawn, the relationship shown in Figure 11-3 results. If a depth is <br /> <br /> <br />selected on the abcissa of Figure 11-3 (such as depth B), the area <br /> <br /> <br />under the curve to the right of the depth represents the probability <br /> <br /> <br />that, in a given year, the depth will be exceeded (exceedance probability). <br /> <br /> <br />Because of the typical skewed shape of this distribution, it is attrac- <br /> <br /> <br />tive to delineate the curve into two portions, the frequent depths and <br /> <br /> <br />the rare depths as shown, The exact point of division is, of course, <br /> <br /> <br />subject to debate. <br /> <br /> <br />As an attempt to show the spectrum of benefits of urban drainage <br /> <br /> <br />and flood control projects, and to relate them to the objectives of <br /> <br /> <br />the corresponding UDFCsystems, Figure 11-4 is presented, It shows <br /> <br />26 <br />