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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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.

Cf
97.32 (10)-6
(1+55.8724)1-42859
Transcribed Image Text:Cf 97.32 (10)-6 (1+55.8724)1-42859
Initial Reservoir Pressure
Current Reservoir Pressure
Pressure Change
cf
3250
1500
1750
0.02
0.05
331.181287 143.97565 65.452832
0.1
0.15
0.2
39.49882 27.21803
Transcribed Image Text:Initial Reservoir Pressure Current Reservoir Pressure Pressure Change cf 3250 1500 1750 0.02 0.05 331.181287 143.97565 65.452832 0.1 0.15 0.2 39.49882 27.21803
Expert Solution
Step 1

To calculate the change in volume for part (b), we need to use the formula you provided:

c =-1V×dVdp

Where c is the compressibility calculated in part (a),

V is the initial pore volume,

dV/dp is the change in pore volume due to the change in pressure.

We can rearrange the formula to solve for dVV:

dVV=-c×dp

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