GroundwaterSoftware.com - December 2006 Newsletter: Groundwater Mounding Calculator

GROUNDWATER MOUNDING CALCULATOR

The following calculator performs the groundwater mounding calculation given by Hantush (1967) for a rectangular recharge area. A representation of the groundwater mound is given by:

The equation representing the groundwater mound beneath a rectangular recharge area is given by:

where h_m is the maximum height of the mound; h_i is the initial height of the water table; w is the recharge or percolation rate; K is the hydraulic conductivity; t is the time of interest; L and W are the length and width of the rectangular recharge area, and ε is the specific yield of the aquifer. S* is an integral equation given by:

This equation is estimated in the calculator by using a table of values given by Hantush (1967).

Groundwater Mound under a Rectangular Recharge Area

Using the Hantush (1967) Derivation

Input

w (Percolation Rate): [L/T]

k (Hydraulic Conductivity): [L/T]

S (Specific Yield): [-]

t (Time): [T]

h_i (Initial Saturated Thickness): [L]

a (Length of Recharge Area): [L]

b (Width of Recharge Area): [L]

**KEEP UNITS CONSISTENT**

Results

**Note that because of estimations of an integral function, this is an estimate**

Maximum hydraulic head: [L]

Increase in hydraulic head: [L]

There are many resources available for more information on groundwater mounding. For this newsletter the following journal article was used:

Hantush, M.S.(1967). Growth and Decay of Groundwater-Mounds in Response to Uniform Percolation, Water Resources Research vol. 3, no.1, pp 227-234.

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