ABSTRACT
The evaluation of the tide-induced watertable fluctuations in a sandy beach is important for the erosion process, saltwater intrusion, contamination from groundwater discharge and biological activity. Most previous analytical solutions have been limited to the one-dimensional case and included the assumption of a straight coastline. The tidal dynamics in coastal aquifers in a two-dimensional domain, in which alongshore coastline variability is considered, have only recently been investigated. In this chapter, we extend the above-mentioned analytical investigations. A two-dimensional analytical solution for tide-induced watertable fluctuations in a sloping beach bounded by rhythmic shorelines will be derived. The solution is based on the second-order governing equation of shallow water expansion. With the new solution, we investigate the effects of beach slope, higher-order components and coastline variation. The second part of this chapter, capillarity effect on the two-dimensional model is considered.
