Carbon Capture Derivations
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Last updated 5:37 PM on 5/31/26
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4 Terms
1
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Wellbore Pressure
1) integrate continuity in radial co-ordinates for vz, 2) equate to darcys velocity in radial co-ordinates
2
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Wellbore Volume Flow Rate, Q
1) take derivative of pressure dp/dr, 2) sub into darcys law for Q
3
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Core Pressure Distribution
1) Take continuity equation in terms of q, 2) sub in darcys law for q into continuity and solve
4
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Core Time Dependance of Hight
1) Take derivative of pressure dp/dy, 2) use darcys law with q=dh/dt