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<br />I <br />~. <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />STEP 6. CQIlIlUTE LOCAL SCOUR AT PIERS <br /> <br />Local scour at piers is a function of bed material size, flow characteristics, <br />fluid properties and the geometry. of the pier. The subject has been studied <br />extensively in the laboratory but there is very little field data. As a result <br />of the many studies there are many equations. In general, the equations are <br />for live-bed scour in cohesionless sand bed streams, and they give similar <br />results. <br /> <br />Sterling Jones (1983) compared many of the more common equations. His <br />comparison of these equations is given in Figure 4.12. Some of the equations <br />have velocity as a variable (normally in the form of a Froude number). <br />However some equations, such as Laursen do not include velocity. A Froude <br />number of 0.3 was used (Fr = 0.3) in Figure 4.12 for purposes of comparing <br />commonly used scour equations. In Figure 4.13 the equations are compared with <br />some field data measurements. As can be seen from Figure 4.12 the CSU equation <br />encloses all the points but gives lower values of scour than Jain, Laursen and <br />Nie1's equations. The CSU equation includes the velocity of the flow just <br />upstream of the pier by including the Froude Number in the equation. Chang <br />(1988) points out that Laursen's (1980) equation is essentially a special case <br />of the CSU equation with the Fr = 0.5. <br /> <br />The equations illustrated in Figures 4.12 and 4.13 do not take into account the <br />possibility that larger sizes in the bed material could armor the scour hole. <br />That is, the large sizes in the bed material will at some depth of scour limit <br />the scour depth. Raudkivi (Raudkivi and Sutherland, 1981, and Raudkivi and <br />Ettema, 1983) developed an equation that takes into consideration large <br />particles in the bed. The significance of this factor of armoring of the scour <br />hole over a long time frame and over many floods is not known. Therefore, <br />their equation is not recommended for use at this time. <br /> <br />For the determination of pier scour, the Colorado State University's equation <br />is recommended for both live-bed and clear water scour. With a dune bed <br />configuration the equation predicts equilibrium scour depths and maximum scour <br />will be 30\ greater. For flow with plane bed configuration or antidunes, CSU's <br />equation gives the maximum scour. <br /> <br />The extent to which a pier footing or pile cap affects local scour at a pier is <br />not clearly determined. Under some circumstances the footing may serve as a <br />scour arrester, impeding the horseshoe vortex and reducing the depth of scour <br />hole. In other cases where the footing extends above the stream bed into the <br />flow, it may serve to increase the effective width of the pier, thereby <br />increasing the local pier scour. As an interim guide, if the top of the pier <br />footing is slightly above or below the stream bed elevation (taking into <br />account the effect of contraction scour), use the width of the pier shaft for <br />the value of Oa" in the pier scour equation. If the pier footing projects well <br />above the stream bed to the extent that it significantly obstructs the flow, <br />use the width of the pier footing for the value of "a". Interpolate between <br />these two values depending upon the extent to which the footing may be expected <br />to affect the local scour patterns. <br /> <br />39 <br />