Modifications to an One-Dimensional Model of Unsteady Flow in the Colorado River Through the Grand Canyon, Arizona (Classic Reprint) - Softcover

Wiele, Stephen Mark

 
9781527738386: Modifications to an One-Dimensional Model of Unsteady Flow in the Colorado River Through the Grand Canyon, Arizona (Classic Reprint)

Synopsis

Excerpt from Modifications to an One-Dimensional Model of Unsteady Flow in the Colorado River Through the Grand Canyon, Arizona

Calculations of the downstream progression and evolution of discharge waves released from Glen Canyon Dam on the Colorado River through Grand Canyon have been based on hydraulic geometry derived from measurements made at a maximum discharge of 792 cubic meters per second. Predictions of downstream hydrographs for larger discharges, such as the controlled flood in March - April 1996, which reached a maximum release of cubic meters per second, have been based on extrapolations of that hydraulic geometry. Data from the controlled flood have been used to extend the model to higher discharges using a method that differs from that used to determine hydraulic geometry in the original model. Scaling of the momentum equation shows that the wave is well represented by the kinematic-wave equation on the receding limb of the controlled-flood hydrograph. The wave speed as a function of discharge can be determined from data obtained at streamflow-gaging stations. The wave speed, which is equal to k/da, where Qk is the steady-flow discharge and A is the cross-sectional area, then can be integrated to determine the relation between discharge and cross-sectional area of the channel. A known value of the area corresponding to a given discharge supplies the integration constant. This procedure has yielded a modified hydraulic geometry for the model of flow in the Colorado River between Glen Canyon Dam and Lake Mead that has been extended to cubic meters per second. A numerical method modified for higher rates of change in discharge and the new hydraulic geometry have improved the accuracy of the model for discharges greater than about 800 cubic meters per second.

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9780265760864: Modifications to an One-Dimensional Model of Unsteady Flow in the Colorado River Through the Grand Canyon, Arizona (Classic Reprint)

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ISBN 10:  0265760860 ISBN 13:  9780265760864
Publisher: Forgotten Books, 2018
Hardcover