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<br />48 <br /> <br />. <br /> <br />where, Y 1 <br /> <br />the upstream flow depth, <br /> <br />a <br /> <br />= the embankment length measured normal to the bank, <br /> <br />. <br /> <br />Frl = the upstream Froude number. <br /> <br />If the embankment terminates at a vertical wall on the upstream side, then <br /> <br />the scour depth in sand nearly doubles. That is, <br /> <br />. <br /> <br />Y <br />s <br />~- <br /> <br />2.15 ( <br /> <br />a <br />Yl <br /> <br />)0.40 FrlO.33 <br /> <br />(3-8) <br /> <br />Field data for scour at embankments for various size rivers is scarce, but . <br />data collected at rock dikes on the Mississippi River indicate that <br /> Y <br /> s 4 Frl (3-9) <br /> ~- <br /> . <br /> <br />determines the equilibrium scour depth for large a/Y l' It is recommended <br /> <br /> <br />that Equations 3-7 and 3-8 be applied to embankments with 0 < a/Yl < 25 and <br /> <br /> <br />Equation 3-9 be used for a/Yl > 25. If a/Yl > 25, then scour depth is <br /> <br /> <br />independent of a/Yl and depends only on the approach Froude number and <br /> <br /> <br />depth of flow. <br /> <br />. <br /> <br />In applying Equations 3-7 and 3-8, the embankment length a is measured <br /> <br />. <br /> <br />from the high waterline at the valley bank perpendicularly to the end of the <br /> <br />embankment. A definition of the embankment length for a natural channel with <br /> <br />riprap protection is shown in Figure 3-2. It is not uncommon to find depths <br /> <br />. <br /> <br />to be 30 percent greater than equilibrium scour depth. Lateral extent of <br /> <br />scour can be determined from the angle of repose of the material and scour <br /> <br />depth. . <br /> <br />3.7.2 Local Scour Downstream of Hydraulic Structures <br /> <br />The scour downstream of hydraulic structures, such as stilling basins, <br /> <br />. <br /> <br />diversion works, and etc., occurs frequently in engineering application. <br /> <br />Figure 3-3 summarizes the possible flow condHions downstream of hydraulic <br /> <br />. <br />