Exact Sensitivity Equation for One-Dimensional Steady-State Shallow Water Flow (Application to Model Calibration)
Publication: Journal of Hydrologic Engineering
Volume 15, Issue 11
Abstract
Sensitivity analysis is an important tool that can be used for calibration of river flow models. Generally, friction coefficient is used as a calibration parameter for steady-state one-dimensional shallow water flow models. In this study, the local sensitivity analysis is used to derive a general rule for calibration of prismatic open channel models. For this, the sensitivity of the water depth to the friction coefficient is analytically derived for one-dimensional steady flow conditions in a wide rectangular channel. Also, the parameter of influence distance is defined to calibrate a channel reach using stage measurement at a given location. This characteristic distance allows 90% of the maximum possible variation in the sensitivity of the water depth to the friction coefficient to be captured. This parameter estimates the optimal length of a channel reach over which the friction coefficient can be calibrated from stage measurement. This length locates downstream of the stage measurement point in subcritical flow regime and upstream in supercritical flow regime.
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Information
Published In
Journal of Hydrologic Engineering
Volume 15 • Issue 11 • November 2010
Pages: 939 - 945
Copyright
© 2010 ASCE.
History
Received: Sep 22, 2009
Accepted: Apr 26, 2010
Published online: Jul 5, 2010
Published in print: Nov 2010
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