Groundwater Flow Solutions (pp. 143-151; 171-175)

This section presents a few “classical” steady flow solutions in a couple of useful geometries.

Steady Flow 1D Cartesian

Confined Aquifer (pp. 143-145)

1D flow in a confined aquifer can be solved by direct application of continunity and Darcy’s law. For example consider:

Unconfined Aquifer (pp. 145-151)

1D flow in an unconfined aquifer can be solved by direct application of continunity and Darcy’s law. For example consider:

Solution Sketch

Apply continunity (or actually the unconfined flow equation)

Then analysis (e.g. calculus) to find the result sought.

Another similar example:

Steady Flow 1D Cylindrical

Confined Aquifer (pp. 172-174)

1D radial in a confined aquifer can be solved by direct application of continunity and Darcy’s law. For example consider:

Unconfined Aquifer (pp. 175)

1D radial in unconfined aquifer can be solved by direct application of continunity and Darcy’s law. For example consider:

A similar problem with a recharge basin

Transient (Unsteady) Solutions