A field sample of an unconfined aquifer is packed in a test cylinder. The length and diameter of the cylinder are 50 cm and 6 cm respectively. The field sample is tested for a period of three minutes under a constant head difference of 16.3 cm. As a result, 45.2 cm3 of water is collected at the outlet. Determine the hydraulic conductivity of the aquifer sample.

We are going to describe Hydraulic conductivity as a measure of the ease with which water flows through sediments, determining renewal rates of water, dissolved gases, and nutrients.

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AFOKE88 AFOKE88 · Answer 2 · 2022-04-07T16:38:36+02:00

The hydraulic conductivity of the given aquifer sample packed in a test cylinder is; 0.027 cm/s

What is the hydraulic Conductivity?

We are given;

Head Loss; H = 16.3 cm

Length of cylinder; L = 50 cm

Diameter of cylinder; d = 6 cm

radius; r = 6/2 = 3 cm

time; t = 3 minutes = 180 s

Volume; V = 45.2 cm³

Formula for the hydraulic gradient is;

i = H/L

i = 16.3/50

i = 0.326

Formula for volumetric rate of flow is;

Q = V/t

Q = 45.2/180

Q = 0.25 cm³/s

Formula for area is;

A = πd²/4

A = π × 6²/4

A = 9π

Formula for hydraulic conductivity is;

K = Q/(A * i)

K = 0.25/(9π * 0.326)

K = 0.027 cm/s

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