Analytical Solution for Tidal Propagation in a Leaky Aquifer Extending Finite Distance under the Sea

2008 ◽  
Vol 134 (4) ◽  
pp. 447-454 ◽  
Author(s):  
Mo-Hsuing Chuang ◽  
Hund-Der Yeh
Keyword(s):  
Analytical Solution ◽  
Tidal Propagation ◽  
Finite Distance ◽  
Leaky Aquifer

scholarly journals Tidal propagation in an oceanic island with sloping beaches

2010 ◽  
Vol 14 (7) ◽  
pp. 1341-1351 ◽  
Author(s):  
Y.-C. Chang ◽  
D.-S. Jeng ◽  
H.-D. Yeh
Keyword(s):  
Analytical Solution ◽  
Water Table ◽  
Finite Length ◽  
Oceanic Islands ◽  
Higher Order ◽  
Oceanic Island ◽  
Tidal Propagation ◽  
Amplitude Parameter ◽  
Present Solution ◽  
Order Components

Abstract. In this study, a new analytical solution for describing the tide-induced groundwater fluctuations in oceanic islands with finite length and different slopes of the beaches is developed. Unlike previous solutions, the present solution is not only applicable for a semi-infinite coastal aquifer, but also for an oceanic island with finite length and different sloping beaches. The solution can be used to investigate the effect of higher-order components and beach slopes on the water table fluctuations. The results demonstrate the effect of higher-order components increases with the shallow water parameter or amplitude parameter and the water table level increases as beach slopes decrease.

scholarly journals A generalized analytical solution of groundwater head response to dual tide in a multilayered island leaky aquifer system

2021 ◽  
Author(s):  
Zhi-Xue Z'hao ◽  
Yonghong Hao ◽  
Tongke Wang ◽  
T J Yeh ◽  
Ming Zhang
Keyword(s):  
Analytical Solution ◽  
Separation Of Variables ◽  
Unconfined Aquifer ◽  
Field Investigation ◽  
Bottom Part ◽  
Factors Affecting ◽  
Aquifer System ◽  
Tidal Propagation ◽  
Groundwater Head ◽  
Aquifer Systems

The hydraulic properties of coastal aquifer systems are relevant to various hydrogeological, hydro-ecological and engineering problems. This study presents an analytical solution for predicting groundwater head fluctuations induced by dual-tide in multilayered island aquifer systems, consisting of an unconfined aquifer on the top and any number of leaky aquifers below. The solution was derived via the methods of matrix differential calculus and separation of variables. It is more general than any existing analytical solutions for the tidal pressure propagation since the new solution can consider multilayered aquifer systems along with the effects of leakage and aquifer length. Using this solution, we illustrated potential errors that may occur due to neglecting one or more vital factors affecting groundwater fluctuations. Besides, we articulated the groundwater response to the dual-tide in complex coastal aquifers. Considering that some thin semipermeable layers may be ignored in practical field investigation, we also demonstrated the effects due to simplification of aquifer layers. The results showed that with the increase in the number of overlapped leaky layers, the tidal propagation in the bottom part of multilayered aquifer system approaches that in a single confined aquifer with the same transmissivity and storage.

Numerical simulation of internal tides

2000 ◽  
Vol 214 (6) ◽  
pp. 867-872
Author(s):  
H Martins ◽  
A Santos ◽  
E F Coelho ◽  
R Neves ◽  
T Rosa
Keyword(s):  
Hydrostatic Pressure ◽  
Analytical Solution ◽  
Continental Shelf ◽  
Three Dimensional ◽  
Internal Tides ◽  
Tidal Propagation ◽  
Baroclinic Model ◽  
Vertical Accelerations ◽  
Steep Slopes ◽  
Numerical Approaches

This work compares the numerical results of a three-dimensional hydrodynamic baroclinic model and a known analytical solution due to Baines of the baroclinic lunar semidiurnal (M2) tidal propagation over the continental shelf. The simplifying numerical approaches are the Boussinesq and the hydrostatic hypothesis. The hydrostatic pressure restricts the use of this model to every phenomenon associated with major vertical accelerations, as is sometimes the case of internal tides near steep slopes. A comparison between the two models in the area of the continental shelf was performed for 2.5, 5 and 10 per cent shelf slopes. The results obtained are the following: (a) the linear numerical solution approaches the analytical solution for these slopes, (b) the convection terms become significant for slopes greater than 5 per cent and (c) the non-linear numerical model becomes unstable for slopes above 10 per cent, therefore requiring non-hydrostatic pressure.

scholarly journals Tidal propagation in an oceanic island with sloping beaches

2010 ◽  
Vol 7 (1) ◽  
pp. 1407-1430 ◽  
Author(s):  
Y. C. Chang ◽  
D. S. Jeng ◽  
H. D. Yeh
Keyword(s):  
Analytical Solution ◽  
Water Table ◽  
Finite Length ◽  
Oceanic Islands ◽  
Higher Order ◽  
Oceanic Island ◽  
Tidal Propagation ◽  
Amplitude Parameter ◽  
Present Solution ◽  
Order Components

Abstract. In this study, a new analytical solution for describing the tide-induced groundwater fluctuations in oceanic islands with finite length and different slopes of the beaches is developed. Unlike previous solutions, the present solution is not only applicable for a semi-infinite coastal aquifer, but also for an oceanic island with finite length and different sloping beaches. The solution can be used to investigate the effect of higher-order components and beach slopes on the water table fluctuations. The results demonstrate the effect of higher-order components increases with the shallow water parameter or amplitude parameter and the water table level increases as beach slopes decrease.

scholarly journals An analytical solution for tidal propagation in the Yangtze Estuary, China

2012 ◽  
Vol 16 (9) ◽  
pp. 3327-3339 ◽  
Author(s):  
E. F. Zhang ◽  
H. H. G. Savenije ◽  
S. L. Chen ◽  
X. H. Mao
Keyword(s):  
Analytical Solution ◽  
Analytical Model ◽  
Single Channel ◽  
Yangtze Estuary ◽  
The South ◽  
Tidal Dynamics ◽  
The Yangtze Estuary ◽  
The North ◽  
Tidal Propagation ◽  
First Time

Abstract. An analytical model for tidal dynamics has been applied to the Yangtze Estuary for the first time, to describe the tidal propagation in this large and typically branched estuary with three-order branches and four outlets to the sea. This study shows that the analytical model developed for a single-channel estuary can also accurately describe the tidal dynamics in a branched estuary, particularly in the downstream part. Within the same estuary system, the North Branch and the South Branches have a distinct tidal behaviour: the former being amplified demonstrating a marine character and the latter being damped with a riverine character. The satisfactory results for the South Channel and the South Branch using both separate and combined topographies confirm that the branched estuary system functions as an entity. To further test these results, it is suggested to collect more accurate and dense bathymetric and tidal information.

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