# Hydraulic Conductivity

A sample of drill core collected from an unconfined sandstone aquifer was tested using a constant head permeameter with a radius of 3cm at 20°C and provided the following data:

Flow rate = 0.18 cm3/min

Distance between manometers = 5 cm

Difference in head between manometers = 2.8 cm

A well in the same aquifer was pumped to a steady state, and the following information measured in a series of observation wells: (refer to attachments)

- Calculate the hydraulic conductivity of the rock sample.

- Use the data from the well pumping test to calculate the hydraulic conductivity of the aquifer as a whole.

- Suggest possible reasons for the differences in the results of your two calculations, and discuss the relative advantages and disadvantages of field and laboratory permeability tests.

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#### Solution Preview

Calculate the hydraulic conductivity of the rock sample.

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(1) Q=KiA

Q= flow rate, K= hydraulic conductivity, i= hydraulic gradient = change in hydraulic head/change in distance, A = cross sectional areas

(2) A= r^2pi

Thus,

A = (3 cm)^2 x pi = 28.27 cm^2

rearranging equation (1), isolate for K, hydraulic conductivity

(3) K = Q/iA

K = 0.18 cm3/min / (2.8cm/5cm)*28.27 cm^2

K = 0.0114 cm/min

Use the data from the well pumping test to calculate the hydraulic conductivity of the ...

#### Solution Summary

The distances between manometers for hydraulic conductivity is examined.