How would we derive a solution for groundwater drawdown due to pumping near an impermeable bedrock outcrop (i.e., a barrier boundary)?

Question

Answer

We would use the principle of superposition and an imaginary well located on the opposite side of the barrier at the same distance to the barrier as the pumping bore, and we would extract water from the imaginary well at the same rate as that used for the real well.

Answer

We would use the principle of superposition and an imaginary well located on the opposite side of the barrier at the same distance to the barrier as the pumping bore, and we would inject water from the imaginary well at the same rate as extraction from the real pumping bore.

Answer

One would not conduct a pumping test in such a location, but instead locate the bore much further away from the impermeable bedrock outcrop, i.e., a location where the barriers presence won’t affect the pumping test.

Answer

This situation cannot be solved analytically, but instead would have to be solved using a numerical scheme where the Laplace equation is discretised in space and time.

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How would we derive a solution for groundwater drawdown due to pumping near an i...

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