Model Input/Output
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- Input: N↑ ,
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- Pwf, qW↓, QW↓, QO↑ , QG↑ , QW↑
- Output: qO , qG , qW , P
Model Parameters
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Model Parameters:
- M = { VO , yW , xW , xG , yW , xJ , JW0 } – totally7 constants , k*ro, no, k*rw, nw } – totally 11 constants
Restrictions:
- all constants are positive
- 0 < k*ro < 1, 0 < k*rw < 1
Model fitting
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Source data corrections:
- one time-array Pwf(t)
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Default settings: wO = 0.5 , wW = 0.1, wG = 0.1 , wP = 0.2 , wf = 0.1
Model function
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qO↑ = qO1↑ ‧ N↑ | qO1↑= JO ‧ ( P - Pwf )
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P = Pi + ( yW ‧ Bw ‧ ΣQW↓ + Bo ‧ ΣQO↑ + xW ‧ Bw ‧ ΣQW↑ + xG ‧ Bg ‧ ΣQG↑ )‧ Pi ‧ xP /VO
d s = DFO = ΣQ ΣQO↑ / VO
k*ro(s) = k*ro ‧ (1 - s)no
k*rw(s) = k*rw ‧ snw
JO = krok*ro(ds) ‧ xJ
JW = JW0 + krwk*rw(ds) ‧ xJ
JG = Rs ‧ JO
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Capacitance Resistance Model (CRM) / Capacitance-Resistivity Model (CRM) @model
[ Slightly compressible Material Balance Pressure @model ]