Fifty billion standard cubic feet of gas has been produced from a dry gas reserv

Question

Fifty billion standard cubic feet of gas has been produced from a dry gas reservoir since its discovery. The reservoir pressure during this production has dropped to 3600 Pisa. Your company, which operates the field, has contracted to use the reservoir as a gas storage reservoir. A gas with a gravity of 0.75 is to be injected until the average pressure reaches 4800 psia. Assume that the reservoir behaves volumetrically, and determine the amount of SCF of gas that must be injected to raise the reservoir pressure from 3600 to 4800 Pisa. The initial pressure and temperature of the reservoir were 6200 psia and 280 F, respectively, and the specific gravity of the reservoir gas is 0.75.

Explanation / Answer

Vs= Va × Fp × Tm × (Fpv)2

where; Vs= standard volume of gas

Va= actual volume of gas

Fp= pressure factor of gas

Tm= temperature factor of gas

Fpv= super compressibility factor of gas

If we take Va= 1 cubic feet and Fpv= 1 then,

for line gauge pressure =6200 psi, base pressure=4800 psi, atmospheric pressure=13.6 psi, line temperature 280 f

so, value of Vs=1 * (6200+13.6 / 4800) * (60+459.67 / 280+459.67) * 1

Vs= 0.9087 scf

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