Friction Parameters for Flows in Nearly Flat Tidal Channels

Abstract

A numerical study of friction parameters associated with nearly flat tidal channels is reported. Such empirical parameters are often back-calculated using complex flow equations through a procedure referred to as “inverse problems.” However, estimates of friction parameters of tidal channels are liable to substantial uncertainties if water levels are used in their inverse problems. Even if the parameters are optimized by mathematically comparing gauged and simulated values, the inverse problem must satisfy the quality conditions of “uniqueness,” “identifiability,” and “stability.” To obtain an insight into the problem, this paper focuses on flows where these conditions may not hold. The study concludes that friction parameters can be unidentifiable if the inverse problem employs gauged high tide water levels, because the effect of storage on water level dominates over friction. Gauged discharge values render identifiable, stable, and unique estimates of friction parameters even at high tides, but this is not a practical proposition. Low tide levels should be used to determine friction parameters, as the use of high-tide water levels can make friction parameters, and subsequently simulated discharge values, anomalous.