Mathematical Development of a 3D Finite Element Model

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Tularam, Gurudeo
Singh, Roshan
Ilahee, Mahbub
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Rick Beatson
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2008
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Christchurch
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Abstract

Developement of a 3D numerical model for salinity intrusion in Brisbane by Gurudeo Anand Tularam Griffith University, Brisbane Coauthors: Roshan Singh A three-dimensional (3D) density dependent seawater intrusion field scale model is developed in this paper for Pine Rivers Shire (Australia). The 3D model not only allows for complex flow behaviour and boundary conditions but also takes into account the influence of tidal behaviour that is modelled using Cartwright's (2001) approach. The new model was solved using the finite element FEMWATER package. Along with various longer term salinity profiles for the region, the results show that regions within a distance of 1300m from the seawater boundary will be affected by higher levels of salinity concentration after 100 years. For longer simulations, deviation of the concentration contours from the normal behaviour in the vadose zone is observed at the end of the diffusive zone i.e. at 1300m from seaward boundary for the Pine Rivers Shire aquifer. A diffusive zone rather than a sharp interface was observed and the intrusion process was dominated by diffusion, rather that advection as expected. Parts of Australia have been under drought conditions with significant water shortages and lack of rainfall generally. The simulations suggest that irrigation for farming, pumping for industrial and other uses of groundwater should carefully monitored to avoid salinization of coastal aquifers through excessive extraction in the longer term.

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Australian Mathematics Society-7th Australia New Zealand Mathematics Convention
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Environmental Impact Assessment
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