Most of the analytical solutions to describe tideinduced head fluctuations assume that the coastal aquifer has a constant thickness. These solutions have been applied in many practical problems ignoring possible changes in aquifer thickness, which may lead to wrong estimates of the hydraulic parameters. In this study, a new analytical solution to describe tide-induced head fluctuations in a wedge-shaped coastal aquifer is presented. The proposed model assumes that the aquifer thickness decreases with the distance from the coastline. A closed-form analytical solution is obtained by solving a boundary-value problem with both a separation of variables method and a change of variables method. The analytical solution indicates that wedging significantly enhances the amplitude of the induced heads in the aquifer. However, the effect on time lag is almost negligible, particularly near the coast. The slope factor, which quantifies the degree of heterogeneity of the aquifer, is obtained and analyzed for a number of hypothetical scenarios. The slope factor provides a simple criterion to detect a possible wedging of the coastal aquifer.

In this work, a new analytical solution to describe tide‐induced head fluctuations in aquifers of variable thickness is presented. The proposed model assumes a finite and confined aquifer with a thickness that increases or decreases quadratically with the distance to the coast. A closed‐form analytical solution is obtained by solving a boundary‐value problem with both a separation of variables method and a change of variables method. This solution is a generalization of the solution obtained by Cuello et al., Hydrogeological Journal, 2017, 25, 1509–1515. The analytical solution is expressed in terms of the wedging parameter, a parameter that depends on the length and thicknesses at the coast and at the inland edge of the aquifer. Positive values of the wedging parameter describe aquifers with increasing thickness towards land and negative values describe aquifers with a decreasing thickness in the inland direction. The comparison of the new solution and the solution for a finite aquifer with constant thickness indicates that the sign of the wedging parameter enhances or decreases the amplitude of the tide‐induced signal. However, the differences in time‐lag between both solutions are negligible near the coast. The slope factor, which quantifies the inconsistencies between aquifer diffusivities estimated from attenuation and time‐lag data, is computed and analysed. Near the coast, slope factor values greater than one are obtained for negative wedging parameters while slope factor values less than one are obtained for positive wedging parameters. The analysis of the new solution also indicates that more reliable estimates of the hydraulic diffusivity can be obtained from time‐lag data.

Seawater intrusion occurs in almost all coastal aquifers that are subject to human pressure. Its effects could be reduced by avoiding pumping in those wells better hydraulically connected to the sea. This paper presents a methodology to assess hydraulic connection to the sea of a well from its response to sea-level fluctuations. Head fluctuations in a well result from the superposition of hydraulic and hydro-mechanical responses. The hydraulic response requires a good hydraulic connection to the sea, whereas a hydro-mechanical response suggests a poor connection. Sea level fluctuates with a broad range of harmonics, which allows identification of the hydraulic and hydro-mechanical responses based on the harmonic frequency. It is shown that the response to low-frequency harmonics is essentially hydraulic and the response to high-frequency harmonics is mainly hydro-mechanical. The proposed methodology facilitates the discrimination of both responses with the aim to study qualitatively the hydraulic connection to the sea. This methodology is applied to the aquifer system of La Plata river estuary in western Argentina. Surprisingly, the hydraulic response of the deepest aquifer (Paraná) is less damped than the response of the overlaying aquifer (Puelches). This finding suggests that the Paraná aquifer is better connected to the sea than the Puelches.