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<br />during the computation interval: <br /> <br />Oz - 01 . Cl (11 - 01) + Cz (IZ - 11) (4) <br /> <br />in which: <br />01 . outflow at start of interval <br /> <br />Oz . outflow at end of interval <br /> <br />11 . inflow at start of interval <br /> <br />IZ . inflow at end of interval <br /> <br />Cl . routing coefficient <br /> <br />C2 . routing coefficient <br /> <br />Coefficients in the above equation are expressed in terms of the Musk- <br />ingum coefficients. K and X as follows: <br />Cl . ZAt I (ZK - KX + At) (5) <br /> <br />Cz . (At - ZKX) I (ZK - KX + At) (6) <br /> <br />It can be seen that K .ust be expressed in the same time units as the <br />c~tation interval, At. Values of K and X should be derived by suc- <br />cessive approximations to reconstitute recorded flows of the downstream <br />hydrograph where data at Z points on a stream are available. The value <br />of K should approximately equal the cOlputation interval. and this can <br />be accanplished by dividing a reach into sub-reaches if necessary. <br />Routing for each successive sub-reach is then accomplished by applying <br />equation 4 during each successive computation interval (At). assuming <br />that outflow equals inflow at the start of the cOlputation for each <br />sub-reach. The theory for this routing method is explained in the U.S. <br />Army Corps of Engineers ..nual. EM 1110-2-1408. -Routing of Floods <br />Through River Channels.- 1 March 1960. <br />The working storage and discharge method of river routing is based <br />on the following equations: <br /> <br />2-17 <br />