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Cooper’s solution, Picking’s solution for slug test in confined aquifer
Assumptions:
✓aquifer is confined, isotropic, of infinite lateral extent;
✓pumping well is fully penetrating, wellbore storage capacity is included;
✓drawdown is estimated in the pumping well.
a b c
Slug test in confined isotropic aquifer.
a – pouring input of water into the well, b – removal of water out of the well, c – slug test with observation well.
Unsteadystate flow equations
1) Cooper’s solution – instantaneous change of initial water level in the well:
Laplace transform solution:
2) Cooper’s solution for observation well:
Laplace transform solution:
3) Picking’s solution – noninstantaneous change of initial water level (before recovery water has been removed from/injected to the well with a constant rate during the time t0):
Laplace transform solution:
4) Water change level in observation well – noninstantaneous change of initial water level:
Laplace transform solution:
Methods of analysis and parameters being estimated
Plot 
Method 
Parameters 

matching 



