Initial Reservoir Pressure Current Reservoir Pressure Pressure Change $ cf 3250 1500 1750 0.02 0.1 0.05 0.15 0.2 331.181287 143.97565 65.452832 39.49882 27.21803
For studying rock porosity change affecting by the pressure, use Newman correlation to calculate the pore volume (isothermal) compressibility, cf, for sandstones as below (Eqn. 2.2 - which is attached). I have also attached my results for part a. I need help with part B. It is using the formula: c = -1/v * dV/dp where v = volume, c = compressibility values calculated in part a, and p is pressure. I am mostly confused on how to compute the change in volume.
(a) Calculate cf for 5 different phi (porosity) = 0.02, 0.05, 0.1, 0.15, 0.2 I have already completed this portion and it is attached with the answers needed for part b highlighted in yellow in the uploaded figure.
(b) Estimate dV/V for these five cases of phi (porosity), if initial reservoir is 3250 psia and the current reservoir pressure is 1500 psia.


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To calculate the change in volume for part (b), we need to use the formula you provided:
Where c is the compressibility calculated in part (a),
V is the initial pore volume,
is the change in pore volume due to the change in pressure.
We can rearrange the formula to solve for :
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