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Conceptual schemes > Leaky aquifer > Constant level in the adjacent aquifer >

Infinite leaky aquifer

Infinite leaky aquifer

 

Assumptions:

üleaky aquifer system consists of isotropic aquifers interbedded with aquitards;

ümain aquifer: the aquifer that contains pumping well and where the water drawdown is estimated;

üadjacent aquifer (may be two aquifers) water level drawdown is constant during the test period;

üinitial water levels in aquifers may be different or coincide;

üboundary: aquifer has infinite areal extent;

üpumping well is fully penetrating, located in the main aquifer, its storage capacity is neglected;

üdrawdown is estimated in the main aquifer at any distance from the pumping well;

ücrossflow through the aquitard is vertical;

üstorage of the aquitards is neglected;

üpumping well storage capacity may be taken into account (see complementary solutions below).

 

a        b

c        d

e        f

Cross-section of the leaky aquifer system with water level in adjacent aquifers constant during the test period.

a – 3-layered confined aquifer system with a leaky roof; b – the same with a leaky bed; c – 3-layered confined aquifer system with different initial levels in aquifers; d – 3-layered unconfined leaky aquifer system; e, f – 5-layered confined (e) and unconfined (f) aquifer systems with leaky roof and bed. Arrows show flow direction within layers.

 

Fundamental equation:

 

Besides the fundamental equation the following complementary solutions are applied:

1) solution for water level drawdown in the fully penetrating observation well in the leaky aquifer with allowance for the pumping well storage capacity


2) solution for water level drawdown in the pumping well in leaky aquifer with allowance for the pumping well storage capacity


3) Hantush’s solution for the aquifer anisotropic on the lateral plane

 

To be analyzed are:

One well pumped at a constant rate

Pumping

Recovery

One or several wells pumped at a variable rate

Pumping

 

References

Hantush M.S. Analysis of data from pumping tests in anisotropic aquifers // Journal of Geophysical Research. 1966. Vol. 71, N 2. P. 421–426.

Hantush M.S., Jacob C.E. Non-steady radial flow in an infinite leaky aquifer // Transactions, American Geophysical Union. 1955. Vol. 36, N 1. P. 95–100.

Hantush M.S., Thomas R.G. A method for analyzing a drawdown test in anisotropic aquifers // Water Resources Research. 1966. Vol. 2, N 2. P. 281–285.

Jacob C.E. Radial flow in a leaky artesian aquifer // Transactions, American Geophysical Union. 1946. Vol. 27, N 2. P. 198–205.

Lai R.Y.S., Chen-Wu Su. Nonsteady flow to a large well in a leaky aquifer // Journal of Hydrology. 1974. Vol. 22, N 3/4. P. 333–345.