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This equation represents flow to a pumping well (a sink of strength G), located at the origin.
The presence of aquifer boundaries (recharge or no-flow) and their distance from the pumped well and piezometers.
Steady-state flow to a pumping well (which never truly occurs, but is sometimes a useful approximation) is commonly called the Thiem solution.
Another useful coordinate system is 3D cylindrical coordinates (typically where a pumping well is a line source located at the origin - parallel to the z axis - causing converging radial flow).
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