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Inflow Performance Equations

Browse 17 inflow performance petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Inflow performance calculations estimate well deliverability, productivity index, Vogel IPR, Fetkovich behavior, and test-point inflow relationships.

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Production EngineeringInflow Performance

Composite IPR Productivity Index

Ji=q(Pr−Pb)+Pb1.8[1−0.2(PwfPr)−0.8(PwfPr)2]J_i=\frac{q}{(P_r-P_b)+\frac{P_b}{1.8}\left[1-0.2\left(\frac{P_{wf}}{P_r}\right)-0.8\left(\frac{P_{wf}}{P_r}\right)^2\right]}
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Production EngineeringInflow Performance

Damaged to Undamaged Productivity Ratio - Acidizing

JsJo=Fkln⁡(re/rw)ln⁡(rs/rw)+Fkln⁡(re/rs)\frac{J_s}{J_o}=\frac{F_k\ln(r_e/r_w)}{\ln(r_s/r_w)+F_k\ln(r_e/r_s)}
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Production EngineeringInflow Performance

Fetkovich Oil Deliverability Rate

qo=Cf(Pr2−Pwf2)nfq_o=C_f(P_r^2-P_{wf}^2)^{n_f}
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Production EngineeringInflow Performance

Flow Coefficient During Drawdown

E=Pi−pwf−ΔpskinPi−pwfE=\frac{P_i-p_{wf}-\Delta p_{skin}}{P_i-p_{wf}}
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Production EngineeringInflow Performance

Gas Deliverability Pressure-Squared Drawdown

Δp2=Pr2−Pwf2\Delta p^2=P_r^2-P_{wf}^2
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Production EngineeringInflow Performance

Horizontal Well Fetkovich IPR Rate

qo=qomax[1−(PwfPr)2]nq_o=q_{omax}\left[1-\left(\frac{P_{wf}}{P_r}\right)^2\right]^n
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Production EngineeringInflow Performance

Jones-Blount-Glaze Gas Deliverability Rate

qg=−a+a2+4b(Pr2−Pwf2)2bq_g=\frac{-a+\sqrt{a^2+4b(P_r^2-P_{wf}^2)}}{2b}
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Production EngineeringInflow Performance

PI Test Skin Factor and Average Permeability

s=(kkj−1)[ln⁡(rerw)−0.75]s=\left(\frac{k}{k_j}-1\right)\left[\ln\left(\frac{r_e}{r_w}\right)-0.75\right]
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Production EngineeringInflow Performance

Productivity Index and Straight-Line IPR

J=qoPr−PwfJ = \frac{q_o}{P_r - P_{wf}}
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Production EngineeringInflow Performance

Productivity Index for a Gas Well

Jg=kh1422T[0.5ln⁡(4A1.781CArw2)+S]J_g=\frac{kh}{1422T\left[0.5\ln\left(\frac{4A}{1.781C_Ar_w^2}\right)+S\right]}
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Production EngineeringInflow Performance

Rawlins-Schellhardt Absolute Open Flow Potential

qAOF=CRS(Pr2−Patm2)nRSq_{AOF}=C_{RS}\left(P_r^2-P_{atm}^2\right)^{n_{RS}}
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Production EngineeringInflow Performance

Rawlins-Schellhardt Deliverability Coefficient from Test Point

CRS=qg(Δp2)nRSC_{RS}=\frac{q_g}{\left(\Delta p^2\right)^{n_{RS}}}
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Production EngineeringInflow Performance

Rawlins-Schellhardt Deliverability Exponent from Two Test Points

nRS=ln⁡(qg2/qg1)ln⁡(Δp22/Δp12)n_{RS}=\frac{\ln(q_{g2}/q_{g1})}{\ln(\Delta p_2^2/\Delta p_1^2)}
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Production EngineeringInflow Performance

Rawlins-Schellhardt Gas Deliverability Rate

qg=CRS(Pr2−Pwf2)nRSq_g=C_{RS}\left(P_r^2-P_{wf}^2\right)^{n_{RS}}
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Production EngineeringInflow Performance

Straight-Line IPR Rate from Test Point

qo=qtestPr−Pwf,test(Pr−Pwf)q_o=\frac{q_{test}}{P_r-P_{wf,test}}(P_r-P_{wf})
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Production EngineeringInflow Performance

Vogel Inflow Performance Relationship

qo=qmax[1−0.2(PwfPr)−0.8(PwfPr)2]q_o = q_{max}\left[1 - 0.2\left(\frac{P_{wf}}{P_r}\right) - 0.8\left(\frac{P_{wf}}{P_r}\right)^2\right]
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Production EngineeringInflow Performance

Vogel IPR Rate from One Test Point

qo=qmax[1−0.2PwfPr−0.8(PwfPr)2]q_o=q_{max}\left[1-0.2\frac{P_{wf}}{P_r}-0.8\left(\frac{P_{wf}}{P_r}\right)^2\right]
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