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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.

 

Unsteady-state 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 – non-instantaneous 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 – non-instantaneous change of initial water level:

Laplace transform solution:

       

 

 

Methods of analysis and parameters being estimated