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<br />Maximum Depth Calculation <br /> <br />Once the maximum outflow has been calculated. the maximum depth (h ) <br />max <br /> <br />at. the downstream face of the dam must be determined. To do this. the cross <br /> <br />section (X-section) at the downstream face of the dam must first be "fitted" <br /> <br /> <br />(approximated) with an equation of the form B ~ Khm (topwidth = K * depthm) <br /> <br /> <br />where K and m are the fitting coefficients computed using the following <br /> <br />least squares algorithm: <br /> <br /> (I log hi) (L log 8i) <br />L [ (log hi) (log 8i)] 1 <br />m = (5) <br />L 2 (L 2 <br />(log hi) log hi) <br /> 1 <br /> <br />log K ~ <br /> <br />L log 8i <br />1 <br /> <br />m e log 1 hi ) <br /> <br />(6 ) <br /> <br />K <br /> <br />lO(log K) <br /> <br />(6a) <br /> <br />where: Bi is the topwidth associated with depth hi' i = 1.2.3....1 (total <br />number of topwidths) <br /> <br />" <br /> <br />For rivers with very steep valley side-walls adjacent to the channel <br />(see figure la), an additional parameter (h ) may be specified to indicate <br />v . <br />the depth at which the channel geometry no longer follows the B = Khm <br />relation. As can be seen in Figure lb. this feature allows for a more <br />accurate representation of the true channel-valley shape. <br /> <br />1-5 <br />