Virtual channel‐inflow graphs

Robert E. Horton · Transactions American Geophysical Union · 1941

What may be called a “virtual channel‐in flow graph” can in many cases readily be derived from certain properties of the channel‐outflow graph (for the sake of brevity this will be designated a virtual‐inflow graph or V‐I graph). If a given channel‐inflow graph is transposed in time so that the channel‐inflow begins simultaneously with the outflow at a given station, then the following four relationships will held true between the transposed channel‐inflow graph and the outflow‐graph which it produces (see Fig. 1): (1) Channel‐inflow ends at the point of contraflexure P2 on the recession side of the channel‐outflow graph. (2) The inflow‐ and outflow‐graphs have a common point at the maximum outflow. (3) Channel‐inflow begins at the beginning of channel‐outflow. (4) The areas under the channel‐inflow and outflow‐graphs are equal and each represents the total surface‐runoff.

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