The traditional pumping test model typically assumes that the aquifer is a constant,whereas the actual aquifer frequently exhibits depth-dependent hydraulic conductivity due to geological effects and other factors.In this paper,it develops a mathematical model of pumping tests that takes into account leakage,wellbore storage effect,and depth-dependent hydraulic conductivity,and solves the semi-analytical solution,where the depth-dependent hydraulic conductivity represented by an exponential function.The results show that:the greater the attenuation coefficient(A)of depth-dependent hydraulic conductivity,the greater the drawdown in the wellbore and the greater the range of landing funnel caused by pumping.When the hydraulic conductivity decays with depth,the location of the well screen has a significant impact on the pumping test results,the drawdown at the wellbore with the well screen at the upper aquifer location is smaller than the drawdown at the wellbore with the well screen at the lower aquifer location;the estimated hydraulic conductivity is an approximation of the depth-decaying hydraulic conductivity based on drawdown at the wellbore by traditional pumping test model.
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