Model Input/Output

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• Input:   N^↑ ,

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• P_wf,  q_W^↓,  Q_W^↓, Q_O^↑ , Q_G^↑ , Q_W^↑
  
• Output:  q_O , q_G , q_W , P

Model Parameters

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Model Parameters:

• M = {  V_O , E_D ,  yy_W , x_W , x_G , y_W ,   x_J , J_W0 }  – totally7 constants  , k_ro(s), k_rw(s) }  – totally 8 constants  and two arrays 

Restrictions:

• all constants are positive
  
  
• 0 < k_ro(s) < 1, 0 < k_rw(s) < 1

Model fitting

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Source data corrections:

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P = P_i +   ( y_W ‧  Bw ‧ ΣQ_W^↓ + Bo ‧ ΣQ_O^↑ + x_W ‧  Bw ‧ ΣQ_W^↑ + x_G ‧  Bg ‧ ΣQ_G^↑  )‧ P_i ‧ x_P /V_O 

d = DFO = ΣQs = s_oi + (s_or - s_wi) ‧ E_D ‧  ΣQ_O^↑ / V_O

J_O = kro(ds) ‧ x_J

J_W = J_W0 + krw(ds) ‧ x_J

J_G = R_s ‧ J_O

kro(d), krw(d) are set by tables or RPM Corey @model.

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

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