Conceptual models > Linear source > Aquifer bounded in the horizontal plane and thickness > Semi-infinite aquifer >

Pumping

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Conceptual models > Linear source > Aquifer bounded in the horizontal plane and thickness > Semi-infinite aquifer >

Pumping

Analytical equations and methods for aquifer test analysis

 

Unsteady-state flow equations for recharge boundary conditions:

1) drawdown in a piezometer (Hantush)

Laplace transform solution:

zp = LTp

 

2) average drawdown in an observation well (Hantush)

Laplace transform solution:

 

3) average drawdown in an observation well (Moench)

4) drawdown in a piezometer (Moench)

 

Unsteady-state flow equations for no-flow boundary conditions:

1) drawdown in a piezometer (Hantush)

Laplace transform solution:

 

2) average drawdown in an observation well (Hantush)

Laplace transform solution:

 

3) average drawdown in an observation well (Moench)

4) drawdown in a piezometer (Moench)

 

Unsteady-state flow equations for recharge and no-flow boundary conditions

1) drawdown in a piezometer (Hantush)

Laplace transform solution:

 

2) average drawdown in an observation well (Hantush)

Laplace transform solution:

 

3) average drawdown in an observation well (Moench)

4) drawdown in a piezometer (Moench)

 

Methods of analysis and parameters being estimated

Plot

Method

Parameters

Comments

matching

 

matching

matching by separate points

matching

matching by separate points

matching

 

matching

 

matching

 

matching

 

matching

 

matching

 

bisecting line

 

Parameters for isotropic aquifer – k, a.

 

Methods of analysis and parameters being estimated for multi-well and variable discharge rate pumping test

Plot

Method

Parameters

Comments

matching

 

matching

matching by separate points

matching

 

matching

 

matching

 

matching

 

bisecting line