Computational aspects of accurately modelling salt advection beneath aquaculture ponds

Damien Paul Verrall, Wayne Read, Kumar Narayan


Aquaculture is becoming an important primary industry in Australia and the Asian region. Environmental concerns are raised when above ground saline ponds are introduced over fresh groundwater. The flow field can be simply modelled using series solutions for the hydraulic potential. However, extracting the advection fronts and isochrones can be much more challenging, particularly when solutions are sought using a laptop or desktop computer. We present an efficient and accurate way to calculate the advection front and the isochrones for a realistic problem. These methods use the analytic nature of the flow field solution and are an efficient and accurate alternative to the traditional methods used.

  • J. R. Philip, Travel Times From Buried and Surface Infiltration Point Sources, Water Resources Research 20 (7) 990--994, 1984. doi:10.1029/WR020i007p00990
  • W. L. Powers, D. Kirkham, G. Snowden, Orthonormal Function Tables and the Seepage of Steady Rain through Soil Bedding, Journal of Geophysical Research 72 (24) 6225--6237, 1967. doi:10.1029/JZ072i024p06225
  • W. W. Read, Hillside Seepage and the Steady Water Table I: Theory, Advances in Water Resources 19 (2) (1996) 63--73. doi:10.1016/0309-1708(95)00034-8
  • W. W. Read, Hillside Seepage and the Steady Water Table II: Applications, Advances in Water Resources 19 (2) (1996) 75--81. doi:10.1016/0309-1708(95)00035-6

Full Text:



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.