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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Paperback. Condition: New. Print on Demand. This book delves into the modifications made to a one-dimensional model simulating unsteady flow in the Colorado River as it passes through the majestic Grand Canyon. The original model, developed by the author, successfully predicted hydrographs along the river corridor for discharges up to 792 cubic meters per second (m3/s). However, the controlled flood of March-April 1996, which reached a peak discharge of 1,356 m3/s, necessitated extending the model's capabilities to higher flows. The author ingeniously employs data from the controlled flood to extend the model's hydraulic geometry to discharges of up to 1,356 m3/s. This extension is achieved by applying kinematic-wave theory to the flood's receding limb. Furthermore, the numerical method used in the model is modified to handle the rapid changes in discharge associated with the flood more accurately. The significance of these modifications lies in their ability to improve the model's accuracy for discharges greater than 800 m3/s. This enhanced precision is crucial for simulating and understanding high-flow events in the Colorado River, particularly in the context of dam operations and downstream ecosystem management. The book contributes to the ongoing scientific efforts to model and manage water resources in this iconic river system, providing valuable insights for researchers, water resource managers, and anyone fascinated by the interplay of hydrology and geomorphology. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781527738386_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781527738386
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781527738386
Quantity: 15 available