I am surprised by the complex ...

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I am surprised by the complex solutions proposed to a simple problem. Easiest method is to push or insert by hand (digging a hole) a series of piezometers made out of perforated PVC running to the depth of the bottom of the pond (if too deep may need a pushing device and using perforated steel pipes), run slug tests on them, and then monitor daily changes in elevation of the water table in these piezometers. Calculate hydraulic conductivity with these data. Inexpensive and simple.