Pumping tests

groundhog.consolidation.groundwaterflow.pumpingtests.hydraulicconductivity_unconfinedaquifer(radius_1, radius_2, piezometric_height_1, piezometric_height_2, flowrate, **kwargs)

Calculates the hydraulic conductivity from observing two standpipes in the vicinity of a pumping well. The standpipes should be within the radius of influence of the pumping well.

The following conditions must be satisfied:

• Unconfined and non-leaking water layer

• Open base of the pumping well is below the groundwater level

• Homogeneous, isotropic soil mass of infinite size

• Darcy’s law applies

• Radial flow

• Hydraulic gradient equal to slope of groundwater surface

Parameters:

• radius_1 – Radial distance between the axis of the pumping well and the first standpipe (\(r_1\)) [\(m\)] - Suggested range: radius_1 >= 0.0

• radius_2 – Radial distance between the axis of the pumping well and the second standpipe (\(r_2\)) [\(m\)] - Suggested range: radius_2 >= 0.0

• piezometric_height_1 – Piezometric height in the first standpipe (\(h_1\)) [\(m\)] - Suggested range: piezometric_height_1 >= 0.0

• piezometric_height_2 – Piezometric height in the second standpipe (\(h_2\)) [\(m\)] - Suggested range: piezometric_height_2 >= 0.0

• flowrate – Flowrate extracted from the pumping well (\(q_z\)) [\(m3/s\)] - Suggested range: flowrate >= 0.0

\[ \begin{align}\begin{aligned}i = \frac{dz}{dr}\\A = 2 \pi r z\\q_z = 2 \pi r z k \frac{dz}{dr}\\q_z \int_{r_1)^{r_2} \frac{dr}{r} = 2 k \pi \int_{h_1}^{h_2} z dz\\k = \frac{q_z \ln \left( r_2 / r_1 \right)}{\pi \left( h_2^2 - h_1^2 \right) }\end{aligned}\end{align} \]

Returns:

Dictionary with the following keys:

• ’hydraulic_conductivity [m/s]’: Hydraulic conductivity (\(k\)) [\(m/s\)]

Geometry of the pumping test (Budhu, 2011)

Reference - Budhu (2011). Soil mechanics and foundations. John Wiley and Sons.