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The storage coefficient of a confined aquifer is 6.8x10-4 determined by a pumping test. The thickness of the aquifer is 50 m and the porosity is 25%. Determine the fractions of the storage attributable to the expansibility of water and compressibility of the aquifer skeleton in terms of percentages of the storage coefficient of the aquifer.

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Answer

given,

storage coefficient, S = 6.8 x 10⁻⁴

thickness of aquifer, t = 50 m

porosity of the aquifer, n = 25 % = 0.25

Density of the water, γ = 9810 N/m³

Compressibilty of water,β = 4.673 x 10⁻¹⁰ m²/N

We know,

S = γ t(nβ + α)

where, α is the compressibility of the aquifer

6.8 x 10⁻⁴ =9810 x 50 x (0.25 x 4.673 x 10⁻¹⁰+ α)

α = 1.269 x 10⁻⁹ m²/N

Expansability of water

= n t β γ

= 0.25 x 50 x 4.673 x 10⁻¹⁰ x 9810

= 5.73 x 10⁻⁵

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