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PVT Properties Equations

Browse 50 pvt properties petroleum engineering equations with formulas, inputs, outputs, units, and sources.

PVT property calculations estimate formation volume factors, solution gas, density, viscosity, pressure, temperature, and related reservoir-fluid properties.

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Phase Behavior and ThermodynamicsPVT Properties

Al-Marhoun Bubble Point Pressure

pb=0.00538088Rsb0.715082γg−1.87784γo3.1437(T+459.67)1.32657p_b=0.00538088R_{sb}^{0.715082}\gamma_g^{-1.87784}\gamma_o^{3.1437}(T+459.67)^{1.32657}
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Phase Behavior and ThermodynamicsPVT Properties

Al-Marhoun Saturated Oil Formation Volume Factor

Bob=0.497069+0.000862963(T+459.67)+0.00182594F+0.00000318099F2B_{ob}=0.497069+0.000862963(T+459.67)+0.00182594F+0.00000318099F^2
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Phase Behavior and ThermodynamicsPVT Properties

Al-Marhoun Solution Gas-Oil Ratio from Bubble Point Pressure

Rsb=[pbγg1.877840.00538088γo3.1437(T+459.67)1.32657]1/0.715082R_{sb}=\left[\frac{p_b\gamma_g^{1.87784}}{0.00538088\gamma_o^{3.1437}(T+459.67)^{1.32657}}\right]^{1/0.715082}
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Phase Behavior and ThermodynamicsPVT Properties

Average Compressibility of Oil

Co=−1V(V1−V2p1−p2)C_o = -\frac{1}{V}\left(\frac{V_1 - V_2}{p_1 - p_2}\right)
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Phase Behavior and ThermodynamicsPVT Properties

Average Gas Solubility

Savg=s1−s2p1−p2S_{avg} = \frac{s_1 - s_2}{p_1 - p_2}
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Phase Behavior and ThermodynamicsPVT Properties

Beggs-Standing Oil Formation Volume Factor Above Bubble Point

Bo=Bbexp⁡[co(pb−p)]B_o=B_b\exp\left[c_o(p_b-p)\right]
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Phase Behavior and ThermodynamicsPVT Properties

Beggs-Standing Oil Formation Volume Factor Below Bubble Point

Bo=0.972+0.000147F1.175B_o=0.972+0.000147F^{1.175}
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Phase Behavior and ThermodynamicsPVT Properties

Benedict-Webb-Rubin PVT Equation

P=RTρ+(BRT−A−CT2)ρ2+(bRT−a)ρ3+aαρ6+cρ3T2(1+γρ2)e−γρ2P=RT\rho+\left(BRT-A-\frac{C}{T^2}\right)\rho^2+(bRT-a)\rho^3+a\alpha\rho^6+\frac{c\rho^3}{T^2}(1+\gamma\rho^2)e^{-\gamma\rho^2}
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Phase Behavior and ThermodynamicsPVT Properties

Equilibrium Vaporization Ratio

K=yxK=\frac{y}{x}
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Phase Behavior and ThermodynamicsPVT Properties

Equilibrium Vaporization Ratio of Heptane

K=Ka(Kb/Ka)bK=\frac{K_a}{(K_b/K_a)^b}
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Reservoir EngineeringPVT Properties

Gas Expansion Factor from Formation Volume Factor

Eg=35.37PzTE_g = 35.37 \frac{P}{zT}
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Reservoir EngineeringPVT Properties

Gas Formation Volume Factor

Bg=0.02827zTPB_g = 0.02827 \frac{zT}{P}
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Phase Behavior and ThermodynamicsPVT Properties

Glaso Bubble Point Pressure

pb=101.7669+1.7447log⁡10(pb∗)−0.30218[log⁡10(pb∗)]2p_b=10^{1.7669+1.7447\log_{10}(p_b^*)-0.30218[\log_{10}(p_b^*)]^2}
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Phase Behavior and ThermodynamicsPVT Properties

Glaso Saturated Oil Formation Volume Factor

Bo=1+10−6.58511+2.91329log⁡10(Bo∗)−0.27683[log⁡10(Bo∗)]2B_o=1+10^{-6.58511+2.91329\log_{10}(B_o^*)-0.27683[\log_{10}(B_o^*)]^2}
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Phase Behavior and ThermodynamicsPVT Properties

Glaso Solution Gas-Oil Ratio from Pressure

Rs=γg(pb∗API0.989T0.172)1/0.816R_s=\gamma_g\left(\frac{p_b^*API^{0.989}}{T^{0.172}}\right)^{1/0.816}
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Phase Behavior and ThermodynamicsPVT Properties

Glaso Solution Gas-Oil Ratio from Saturated Oil FVF

Rs=Bo∗−0.968T(γg/γo)0.526R_s=\frac{B_o^*-0.968T}{(\gamma_g/\gamma_o)^{0.526}}
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Phase Behavior and ThermodynamicsPVT Properties

Glaso Undersaturated Oil Formation Volume Factor

Bo=Bobexp⁡[co(pb−p)]B_o=B_{ob}\exp[c_o(p_b-p)]
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Reservoir EngineeringPVT Properties

Instantaneous Gas-Oil Ratio

GOR=Rs+krgμoBokroμgBgGOR = R_s + \frac{k_{rg}\mu_o B_o}{k_{ro}\mu_g B_g}
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Phase Behavior and ThermodynamicsPVT Properties

Jacoby Aromaticity Factor

Ja=γ+15.8M−0.84680.2456−1.77MJ_a=\frac{\gamma+\frac{15.8}{M}-0.8468}{0.2456-\frac{1.77}{M}}
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Phase Behavior and ThermodynamicsPVT Properties

Latent Heat of Hydrocarbon Mixture

Δhm=TM(7.58+4.57log⁡10T)\Delta h_m=\frac{T}{M}\left(7.58+4.57\log_{10}T\right)
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Phase Behavior and ThermodynamicsPVT Properties

Liquid-Phase Component Mole Fraction

x=zL+VKx=\frac{z}{L+VK}
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Phase Behavior and ThermodynamicsPVT Properties

McCain Water Formation Volume Factor

Bw=(1+ΔVwT)(1+ΔVwP)B_w=(1+\Delta V_{wT})(1+\Delta V_{wP})
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Phase Behavior and ThermodynamicsPVT Properties

Peng-Robinson Characterization Factor

kCi=0.0289+0.0001633Mk_{Ci}=0.0289+0.0001633M
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Phase Behavior and ThermodynamicsPVT Properties

Peng-Robinson PVT Equation

P=RTV−b−aTV(V+b)+b(V−b)P=\frac{RT}{V-b}-\frac{aT}{V(V+b)+b(V-b)}
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Phase Behavior and ThermodynamicsPVT Properties

Petrosky-Farshad Bubble Point Pressure

pb=112.727[Rsb0.5774γg0.843910x−12.34]p_b=112.727\left[\frac{R_{sb}^{0.5774}}{\gamma_g^{0.8439}}10^x-12.34\right]
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Phase Behavior and ThermodynamicsPVT Properties

Petrosky-Farshad Saturated Oil Formation Volume Factor

Bob=1.0113+7.2046×10−5F3.0936B_{ob}=1.0113+7.2046\times10^{-5}F^{3.0936}
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Phase Behavior and ThermodynamicsPVT Properties

Petrosky-Farshad Solution Gas-Oil Ratio from Pressure

Rs=[(p112.727+12.34)γg0.843910x]1.73184R_s=\left[\left(\frac{p}{112.727}+12.34\right)\gamma_g^{0.8439}10^x\right]^{1.73184}
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Phase Behavior and ThermodynamicsPVT Properties

Petrosky-Farshad Undersaturated Oil Compressibility

co=1.705×10−7Rsb0.69357γg0.1885API0.3272T0.6729p−0.5906c_o=1.705\times10^{-7}R_{sb}^{0.69357}\gamma_g^{0.1885}API^{0.3272}T^{0.6729}p^{-0.5906}
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Phase Behavior and ThermodynamicsPVT Properties

Petrosky-Farshad Undersaturated Oil Formation Volume Factor

Bo=Bobexp⁡[co(pb−p)]B_o=B_{ob}\exp[c_o(p_b-p)]
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Phase Behavior and ThermodynamicsPVT Properties

Redlich-Kwong PVT Equation

P=RTV−b−aT0.5V(V+b)P=\frac{RT}{V-b}-\frac{a}{T^{0.5}V(V+b)}
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Phase Behavior and ThermodynamicsPVT Properties

Saturated Oil Compressibility from FVF and Solution GOR Derivatives

co=−1BodBodp+BgBodRsdpc_o=-\frac{1}{B_o}\frac{dB_o}{dp}+\frac{B_g}{B_o}\frac{dR_s}{dp}
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Phase Behavior and ThermodynamicsPVT Properties

Solution Gas-Oil Ratio - Beggs-Standing Correlation Below Bubble Point

Rso=γg(p18⋅10Yg)1.204R_{so} = \gamma_g\left(\frac{p}{18\cdot10^{Y_g}}\right)^{1.204}
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Phase Behavior and ThermodynamicsPVT Properties

Solution Gas-Oil Ratio - Standing Correlation

Rs=γg[p18100.0125API100.00091t]1.2048R_s=\gamma_g\left[\frac{p}{18}\frac{10^{0.0125API}}{10^{0.00091t}}\right]^{1.2048}
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Phase Behavior and ThermodynamicsPVT Properties

Solution Gas-Water Ratio

Rsw=Rswp10−0.0840655ST−0.285854R_{sw}=R_{swp}10^{-0.0840655ST^{-0.285854}}
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Phase Behavior and ThermodynamicsPVT Properties

Standing Oil Formation Volume Factor

Bo=0.9759+0.00012F1.2B_o=0.9759+0.00012F^{1.2}
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Reservoir EngineeringPVT Properties

Two-Phase Formation Volume Factor

Bt=Bo+Bg(Rsoi−Rso)B_t = B_o + B_g(R_{soi} - R_{so})
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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Attraction Parameter from Critical Properties

a=27R2Tc264Pca = \frac{27R^2T_c^2}{64P_c}
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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Covolume from Critical Properties

b=RTc8Pcb = \frac{RT_c}{8P_c}
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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Critical Molar Volume

vc=3bv_c = 3b
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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Critical Pressure from Parameters

Pc=a27b2P_c = \frac{a}{27b^2}
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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Critical Temperature from Parameters

Tc=8a27RbT_c = \frac{8a}{27Rb}
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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Equation of State Pressure

P=RTvm−b−avm2P = \frac{RT}{v_m-b} - \frac{a}{v_m^2}
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Phase Behavior and ThermodynamicsPVT Properties

Vasquez-Beggs Bubble Point Pressure from Solution GOR

pb=[RsbC1γgexp⁡(C3API/(T+460))]1/C2p_b=\left[\frac{R_{sb}}{C_1\gamma_g\exp(C_3API/(T+460))}\right]^{1/C_2}
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Phase Behavior and ThermodynamicsPVT Properties

Vasquez-Beggs Saturated Oil Formation Volume Factor

Bo=1+A1Rs+A2(T−60)APIγgc+A3Rs(T−60)APIγgcB_o=1+A_1R_s+A_2(T-60)\frac{API}{\gamma_{gc}}+A_3R_s(T-60)\frac{API}{\gamma_{gc}}
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Phase Behavior and ThermodynamicsPVT Properties

Vasquez-Beggs Solution Gas-Oil Ratio from Pressure

Rs=C1γgpC2exp⁡(C3APIT+460)R_s=C_1\gamma_g p^{C_2}\exp\left(\frac{C_3API}{T+460}\right)
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Phase Behavior and ThermodynamicsPVT Properties

Vasquez-Beggs Undersaturated Oil Compressibility

co=−1433+5Rsb+17.2T−1180γg+12.61API105pc_o=\frac{-1433+5R_{sb}+17.2T-1180\gamma_g+12.61API}{10^5p}
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Phase Behavior and ThermodynamicsPVT Properties

Vasquez-Beggs Undersaturated Oil Formation Volume Factor

Bo=Bobexp⁡[co(pb−p)]B_o=B_{ob}\exp[c_o(p_b-p)]
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Phase Behavior and ThermodynamicsPVT Properties

Villena-Lanzi Saturated Oil Compressibility

co=exp⁡[−0.664−1.430ln⁡p−0.395ln⁡pb+0.390ln⁡T+0.455ln⁡Rsb+0.262ln⁡API]c_o=\exp[-0.664-1.430\ln p-0.395\ln p_b+0.390\ln T+0.455\ln R_{sb}+0.262\ln API]
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Reservoir EngineeringPVT Properties

Water Two-Phase Formation Volume Factor

Btw=Bw+Bg(Rs−Ri)B_{tw}=B_w+B_g(R_s-R_i)
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Phase Behavior and ThermodynamicsPVT Properties

Watson Characterization Factor from Boiling Point and Specific Gravity

Kw=Tb1/3γ60K_w=\frac{T_b^{1/3}}{\gamma_{60}}
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