| Popis: |
Publisher Summary The transient sharp-interface areal two-dimensional formulation and the three dimensional solute transport formulations are compared, and an example of divergence between the two approaches is presented. While the simulation of ground-water flow in coastal aquifers encountering salt water should formally employ the three-dimensional flow and transport equations, the reduction of this problem to two spatial dimensions in the areal plane, using a sharp interface assumption, has often been employed to render field problems tractable. The assumptions inherent in this simplification have been found appropriate for steady-state conditions, but there appears to be little evidence supporting this approach for transient problems. The sharp interface equations are developed by writing the fluid flow equations in the fresh- and salt-water zones, integrating these equations vertically to eliminate that dimension, and coupling the resulting equations through conditions imposed at the salt-water/fresh-water interface. The vertical integration is justified when vertical head gradients are negligible. |
