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DHIJWASv Software FEFLOW 6.1

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or in a steady-state solution to take care of nonlinearities<br />

in the basic equations.<br />

• The determination of an appropriate time-step<br />

length in automatic time-stepping procedures<br />

based on the deviation of calculated from predicted<br />

solutions.<br />

The absolute error (e.g., head difference) is normalized<br />

by the maximum value of the corresponding primary<br />

variable in initial or boundary conditions<br />

(maximum hydraulic head, maximum concentration,<br />

etc.).<br />

TKNKR cêÉÉ=pìêÑ~ÅÉ<br />

By default, a newly created <strong>FEFLOW</strong> model<br />

reflects a confined aquifer. Saturated simulations of<br />

unconfined conditions require specific treatment of the<br />

phreatic groundwater table.<br />

TKNKRKN Oa=jçÇÉä<br />

In unconfined two-dimensional models with a horizontal<br />

projection the saturated thickness is iteratively<br />

adapted to the resulting hydraulic head. For this purpose,<br />

material-property input includes the aquifer top<br />

and bottom elevations.<br />

When the hydraulic head exceeds the aquifer top<br />

elevation, the model calculations presume confined<br />

conditions in the respective area, i.e., the saturated<br />

thickness is limited to the difference between top and<br />

bottom elevation. Aquifers with partly confined conditions<br />

are thus easily simulated.<br />

Two-dimensional vertical cross-sectional and axisymmetric<br />

models are always assumed to be completely<br />

confined. Modeling of unconfined conditions in<br />

these cases strictly requires a simulation in unsaturated/<br />

variably saturated mode, hereby applying Richards’<br />

equation.<br />

TKNKRKO Pa=jçÇÉä=<br />

In three-dimensional models with gravity in the<br />

direction of the negative z axis (default ’top view’<br />

models) two different strategies can be applied in<br />

<strong>FEFLOW</strong> for handling the phreatic surface besides<br />

simulating in unsaturated mode. It is important to note<br />

that these methods were originally designed for<br />

regional water-management models. They are clearly<br />

limited (with very few exceptions) to cases with a single<br />

phreatic surface. Simulations where partial desaturation<br />

of the model is expected below saturated parts,<br />

e.g., due to drainage in a lower aquifer, have to be simulated<br />

in unsaturated/variably saturated mode. In contrast<br />

to an often-heard opinion, despite the nonlinearity<br />

of Richards’ equation unsaturated models can be as<br />

computationally efficient or even more efficient than<br />

saturated models with phreatic-surface handling if<br />

appropriate simplifications are applied to the unsaturated<br />

material properties.<br />

As both options for phreatic-surface handling have<br />

their specific advantages and disadvantages, the methods<br />

applied in <strong>FEFLOW</strong> will be explained in detail:<br />

cêÉÉ=C=jçî~ÄäÉ<br />

This mode takes care of the phreatic surface by vertically<br />

moving the calculation mesh in a way that the<br />

top of the model is exactly at the water-table elevation<br />

at any time. For this purpose, layer elevations are<br />

changed at each time step (transient simulation) or for<br />

each iteration (steady-state simulation). The movement

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