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ANSDIMAT software
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Aquifer tests analysis
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Strait-line method
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Conceptual schemes
Confined aquifer
Infinite aquifer
One well pumped at a constant rate
Several wells pumped at a constant rate
One well pumped at a variable rate
Several wells pumped at a variable rate
Semiinfinite aquifer
Recharge boundary
One well pumped at a constant rate
Several wells pumped at a constant rate
One well pumped at a variable rate
Several wells pumped at a variable rate
No-flow boundary
One well pumped at a constant rate
Several wells pumped at a constant rate
One well pumped at a variable rate
Several wells pumped at a variable rate
Bounded (strip) aquifer
Recharge boundaries
One well pumped at a constant rate
Several wells pumped at a constant rate
One well pumped at a variable rate
Several wells pumped at a variable rate
No-flow boundaries
One well pumped at a constant rate
Several wells pumped at a constant rate
One well pumped at a variable rate
Several wells pumped at a variable rate
Recharge and no-flow boundaries
One well pumped at a constant rate
Several wells pumped at a constant rate
One well pumped at a variable rate
Several wells pumped at a variable rate
Point source
Aquifer of infinite extent and thickness
One well pumped at a constant rate
Several wells pumped at a constant rate
Several wells pumped at a variable rate
Semiinfinite aquifer
Recharge boundary
One well pumped at a constant rate
Several wells pumped at a variable rate
No-flow boundary
One well pumped at a constant rate
Several wells pumped at a variable rate
Bounded aquifer
Recharge boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
No-flow boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
Recharge and no-flow boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
Linear source
Aquifer of infinite extent and thickness
One well pumped at a constant rate
Several wells pumped at a variable rate
Semiinfinite aquifer
Recharge boundary
One well pumped at a constant rate
Several wells pumped at a variable rate
No-flow boundary
One well pumped at a constant rate
Several wells pumped at a variable rate
Bounded aquifer
Recharge boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
No-flow boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
Recharge and no-flow boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
Unconfined aquifer
Aquifer of infinite lateral extent
One well pumped at a constant rate
Bounded aquifers. Several wells pumped at a variable rate
Pumping
Leaky aquifer
Constant level in the adjacent aquifer
Infinite leaky aquifer
One well pumped at a constant rate
Several wells pumped at a variable rate
Bounded leaky aquifer. Several wells pumped at a variable rate
Pumping
Alternating water level in the adjacent aquifer
One well pumped at a constant rate
Several wells pumped at a variable rate
Conceptual scheme accounting for aquitard storage
One well pumped at a constant rate
Several wells pumped at a variable rate
Leaky aquifer anisitropic on the vertical plane
One well pumped at a constant rate
Several wells pumped at a variable rate
Two-layer aquifer
One well pumped at a constant rate
Several wells pumped at a variable rate
Stratified aquifer systems
Three-layer aquifer system
One well pumped at a constant rate
Two-layer aquifer system
One well pumped at a constant rate
Arealy heterogeneous aquifer
One well pumped at a constant rate
Several wells pumped at a variable rate
Pumping near river
One well pumped at a constant rate
Several wells pumped at a variable rate
Sloping aquifer
One well pumped at a constant rate
Fracture-porous media
Moench’s solutions
Vertical fracture
Horizontal fracture
Constant-head test
One well pumped at a constant drawdown
Slug test
Cooper's solution, Picking's solution
Bouwer-Rice's solution
Hvorslev's solutions
AMWELLS
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Conceptual schemes > Unconfined aquifer > Aquifer of infinite lateral extent >

One well pumped at a constant rate

Analytical equations and methods for aquifer test analysis

 

Unsteady-state flow equations

1) Neuman’s solution for average drawdown in observation well and drawdown in piezometer in anisotropic aquifer; pumping well and observation well being fully penetrating or partially penetrating

The code of DELAY2 program is used (Neuman, 1986). For explanations see:

Neuman S.P. Theory of flow in unconfined aquifers considering delayed gravity response // Water Resources Research. 1972. Vol. 8, N 4. P. 1031–1045.

Neuman S.P. Supplementary comments on «Theory of flow in unconfined aquifers considering delayed gravity response» // Water Resources Research. 1973. Vol. 9, N 4. P. 1102–1103.

Neuman S.P. Effect of partial penetration on flow in unconfined aquifers considering delayed gravity response // Water Resources Research. 1974. Vol. 10, N 2. P. 303–312.

Neuman S.P. Analysis of pumping test data from anisotropic unconfined aquifers // Water Resources Research. 1975. Vol. 11, N 2. P. 329–345.

Neuman S.P. Perspective on «Delayed yield» // Water Resources Research. 1979. Vol. 15, N 4. P. 899–908.


2) Boulton’s solutions for average drawdown and water table drawdown in fully penetrating well in isotropic aquifer

Two related Boulton’s solutions being used, average drawdown is written as

where

Empirical constant (1/d) is

 

Water table drawdown equation reads


3) Moench’s solution for average drawdown in observation well and drawdown in piezometer in anisotropic aquifer; pumping well and observation well being fully penetrating or partially penetrating

The code of WTAQ2 program is used (Moench, 1995).See:

Moench A.F. Computation of type curves for flow to partially penetrating wells in water-table aquifers // Ground Water. 1993. Vol. 31, N 6. P. 966–971.

Moench A.F. Flow to a well in a water-table aquifer: an improved Laplace transform solution // Ground Water. 1996. Vol. 34, N 4. P. 593–596.


4) Moench’s solution for average drawdown in observation well and drawdown in piezometer in anisotropic aquifer with account for pumping well storage capacity, piezometer storage capacity, skin effect in the pumping well and shape factor of the piezometer

The code of WTAQ3 program is used (Moench, 1997).See:

Moench A.F. Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer // Water Resources Research. 1997. Vol. 33, N 6. P. 1397–1407.


5) Moench’s solution for drawdown in pumping well in anisotropic aquifer with account for pumping well storage capacity and skin effect

The code of WTAQ3 program is used (Moench, 1997).See:

Moench A.F. Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer // Water Resources Research. 1997. Vol. 33, N 6. P. 1397–1407.


6) Simplified solution for water table drawdown in fully penetrating well in isotropic aquifer

Equation for quasi-steady-state flow period:

7) Simplified solution for water table drawdown in fully penetrating well in isotropic leaky aquifer


8) Moench-Prickett solution for confined-unconfined aquifer

 

Methods of analysis and parameters being estimated

Plot

Method

Parameters

Comments

matching

 

matching

matching by separate points 1)

matching

matching by separate points

matching

 

matching

 

matching

 

matching

 

matching

 

matching

 

straight line

matching

 

straight line

matching

 

straight line

matching

 

type line

matching

 

type line

matching

 

1) when screens of partially penetrating wells have different elevations.

Parameters matched for the case of isotropic aquifer are: k, S, Sy.

Parameters matched in simplified solution for water table drawdown are: k, a (non-leaky aquifer) or k, a, B (leaky aquifer).

Parameters matched for confined-unconfined aquifer: T, S, Sy.

 

All solutions described above for pumping tests are applied. For water table drawdown the following equations are additionally included:

water table drawdown at non-steady-state

water table drawdown at quasy-steady-state

 

Methods of analysis and parameters being estimated

Plot

Method

Parameters

Comments

straight line

matching

 

 

 

All solutions described above for pumping tests are applied. For water table drawdown the following equations are additionally included:

water table drawdown at non-steady-state

water table drawdown at quasy-steady-state

where

 

Methods of analysis and parameters being estimated

Plot

Method

Parameters

Comments

straight line

matching

 

straight line

matching