Hysteresis-based flood wave analysis

Abstract

By employing looped or hysteretic rating curves, flood wave propagation in natural and artificial channels is analytically described. The analytical relation between a quantitative descriptor of hysteresis η and phase difference φ is verified using numerical and observed data, and a unique relationship among η, φ, and logarithmic decrement δ is presented for kinematic waves. Finally, the effect of channel and input flood wave characteristics as well as downstream boundary conditions on flood wave propagation is evaluated.By employing looped or hysteretic rating curves, flood wave propagation in natural and artificial channels is analytically described. The analytical relation between a quantitative descriptor of hysteresis η and phase difference φ is verified using numerical and observed data, and a unique relationship among η, φ, and logarithmic decrement δ is presented for kinematic waves. Finally, the effect of channel and input flood wave characteristics as well as downstream boundary conditions on flood wave propagation is evaluated.