BOUNDARY CONDITIONS

Boundary Types

Constant Head: a special case of specified head (ABC, EFG)
Specified Head: head is defined as a function of space and time (could replace ABC, EFG)

No Flow (Streamline): a special case of specified flux where the flux is zero (HI)
Specified Flux: could be recharge across (CD) or zero across (HI)
Head Dependent Flux: could replace (ABC, EFG)
Free Surface: water-table, phreatic surface (CD)
Seepage Face: h = z; pressure = atmospheric at the ground surface (DE)
Summary of Boundary Conditions
Natural and Artificial Boundaries


DIRICHLET
Constant
Head & Specified Head Boundaries
Implications: Supply Inexhaustible, or Drainage Unfillable

Example of Constant Head Boundary
Example of Specified Head Boundary

NEUMANN
No Flow
and Specified Flux Boundaries
Implications: H will be calculated as the value required to produce a gradient to yield that flux, given a specified hydraulic conductivity (K). The resulting head may be above the ground surface in an unconfined aquifer, or below the base of the aquifer where there is a pumping well; neither of these cases are desirable.

Boundary Flux Example #1 - Specified Flux
Boundary Flux Example #2 - No Flow

CAUCHY
Head Dependent Flux
H1 = Specified head in reservoir
H2 = Head calculated in model

Implications:

Free Surface
Implications: Flow field geometry varies so transmissivity will vary with head (i.e., this is a nonlinear condition). If the water table is at the ground surface or higher, water should flow out of the model, as a spring or river, but the model design may not allow that to occur.

Seepage Surface
Implications: A seepage surface is neither a head or flowline. Often seepage faces can be neglected in large scale models.

Summary of Boundary Conditions
You will find these same boundary conditions referred to by various names including "Type" numbers. Review the summary table to organize these relationships in your mind.
Boundary Summary Table

Natural and Artificial Boundaries
It is most desirable to terminate your model at natural geohydrologic boundaries. However, we often need to limit the extent of the model in order to maintain the desired level of detail and still have the model execute in a reasonable amount of time. Consequently models sometimes have artificial boundaries. For example, heads may be fixed at known water table elevations at a county line, or a flowline or ground-water divide may be set as a no-flow boundary.
Natural and Artificial Boundary Table