Mound Benearth Circular Recharge Area

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Groundwater Mound Beneath Circular Recharge Area

Hantush (1967) presented the following equations for predicting the maximum height of the water table beneath a circular recharge area:

h_m² - h_i² = (V/2pK)[w(u₀) + (1-exp(-u₀))/u₀] (1)

V = wpR² (2)

u₀ = R²/4nt (3)

n = Kb/e (4)

b = 0.5[h_i(0) + h(t)] (5)

where h_m is maximum height of mound above aquifer base (i.e., maximum saturated thickness of aquifer beneath recharge area); h_i is initial height of water table above aquifer base (i.e, initial saturated thickness of aquifer); K and e are hydraulic conductivity and storativity (specific yield) of aquifer, respectively; w(u) is Theis well function for nonleaky aquifers; w is constant rate of percolation from circular recharge area of radius R; and b is a constant of linearization. The aquifer is unconfined and assumed to have infinite extent.

Equation (1) is nonlinear owing to the definition of b in Equation (5); however, the solution is readily obtained using successive approximation.

Groundwater Mounding Calculator for Circular Recharge Area

Hydraulic Conductivity (K) =	[L/T]
Specific Yield (e) =	[dimensionless]
Initial Saturated Thickness (h_i) =	[L]
Radius of Recharge Area (R) =	[L]
Recharge Rate (w) =	[L/T]
Time (t) =	[T]

Use consistent units for the above input parameters. For example, enter K in m/day and t in days to compute h_m in m.

Groundwater Mounding Calculator developed by Glenn M. Duffield, HydroSOLVE, Inc.

Hantush mounding calculations with contouring now available in AQTESOLV Pro.