The evolution of the tidal asymmetry in a river networks system

<p>Tidal asymmetry in deltas is caused by both the intrinsic asymmetry, resulting from the combination of astronomical tides, and by nonlinear tidal interactions that occur in shallow water. In recent years, nonlinear tidal interactions in deltas have become more complex due to the influence of topographic changes. The relative importance of these sources of tidal asymmetry in delta channel networks, partially due to the limitations of classical harmonic analysis (HA) in hindcasting nonstationary tides, has remained poorly studied. We take the Pearl River Delta (PRD) as an example to examine the spatial-temporal variations of tides and tidal asymmetry in deltas. For hydrological data from 14 stations in the PRD spanning the period1961-2012, the non-stationary harmonic analysis method (NS-TIDE) is used. The spatiotemporal variation of multiple sources of tidal asymmetry is quantified by a skewness metric, revealing the development of alternative sources of tidal asymmetry develop in the delta subject to study. As tides propagate into delta channel networks, analytical results show the development of tides becoming increasingly more asymmetric. In the course of the 1990s and 2000s, tidal skewness has decreased in the parts of the PRD where the water depth varies greatly, indicating that the tidal asymmetry has reduced. Our findings demonstrate that deepening of the channel system is associated with a reduction of the flood-dominant tidal asymmetry. Deeper channels tend to be more often ebb-dominant than shallow areas. Due to extensive sand excavation, the abrupt changes in bathymetry in the delta are likely to be responsible for the observed spatial variations in tidal response that reduce the flood-dominant tidal asymmetry in this region.</p>

Application of the EMD Method to River Tides

A lot of tidal phenomena, including river tides, tides in ice-covered bays, and internal tides in fjords, are nonstationary. These tidal processes present a severe challenge for the conventional tidal analysis method. The empirical mode decomposition (EMD) method is useful for nonstationary and nonlinear time series and has been used for different geophysical data. However, application of EMD to nonstationary tides is rare. This paper is meant to demonstrate a new tidal analysis tool that can help study nonstationary tides, in this case river tides. EMD is applied to a set of hourly water level records on the lower Columbia River, where the tides are greatly influenced by the fluctuating river flow. The results show that the averaged period of any EMD mode almost exactly doubles that of the previous one, suggesting that EMD is a dyadic filter. The highest and second highest frequency modes of EMD represent the semidiurnal (D2) and diurnal (D1) tides, respectively. The sum of the EMD modes except for the first two is the mean water level (MWL). The study finds that the EMD method successfully captured the nonstationary characteristics of the D1 tides, the D2 tides, and the MWL induced by river flow.

Nonstationary Internal Tides Observed Using Dual-Satellite Altimetry

Dual-satellite crossover data from the Jason-2 and Cryosat-2 altimeter missions are used in a novel approach to quantify stationary and nonstationary tides from time-lagged mean square sea surface height (SSH) differences, computed for lags from 1 to 1440 h (60 days). The approach is made feasible by removing independent estimates of the stationary tide and mesoscale SSH variance, which greatly reduces the sampling error of the SSH statistics. For the semidiurnal tidal band, the stationary tidal variance is approximately 0.73 cm2, and the nonstationary variance is about 0.33 cm2, or 30% of the total. The temporal correlation of the nonstationary tide is examined by complex demodulation and found to be oscillatory with first 0 crossing at 400 h (17 days). Because a significant fraction of the time-variable mesoscale signal is resolved at time scales of roughly 150 h by the present constellation of satellite altimeters, the results suggest that it may be feasible to predict the nonstationary tide from modulations of the resolved mesoscale, thus enhancing the efficacy of tidal corrections for planned wide-swath altimeters such as the Surface Water and Ocean Topography (SWOT) mission.