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The following calculation provides an uncertainty analysis (with statistics such as P90,P10, Mean and Median on the output results which is the water rate). The analysis (Monte-Carlo) applies onto the Cooper & Jacob equation solution(1946) also named Jacob's modified nonequilibrium method, which is a a late-time approximation derived from the Theis type-curve method. It works for confined aquifers.It applies on the Drawdown period of a pumping test.
The plot displays the probability density function of the flow rate, where the X-axis displays the water rate, and the Y-axis the probability of any given class.