Higher order analytical solutions of water table fluctuations in coastal aquifers

J. D. Stojsavljevic, D. -S. Jeng, B. R. Seymour, D. Pokrajac

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    The groundwater response of coastal aquifers to tidal forcing is described by Laplace’s equation coupled with the nonlinear phreatic-free surface boundary condition. Here we describe fluctuations in the water table using two small parameters, extending previous work by proposing an ansatz to compute higher order, semi-analytical solutions. The new solutions are compared with known lower order solutions. The relative difference between the linear solution and higher order solutions can reach up to 30% of the linear solution for shallow beaches. The new solutions exhibit a reduction in the over height of the groundwater fluctuations compared with the lower order solutions. In addition, the super elevation of the water table, both near shore and as the aquifer tends landward, is examined with the inclusion of higher order terms.
    Original languageEnglish
    Pages (from-to)1-7
    Number of pages7
    JournalGround Water
    DOIs
    Publication statusPublished - Apr 2011

    Keywords

    • Tidal dynamics
    • Perturbation method
    • Groundwater

    Fingerprint Dive into the research topics of 'Higher order analytical solutions of water table fluctuations in coastal aquifers'. Together they form a unique fingerprint.

    Cite this