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Waterflooding and EOR Equations

Browse 50 waterflooding and eor petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Waterflooding and EOR equations group related upstream petroleum engineering formulas by workflow so engineers can find the right calculation faster.

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Reservoir EngineeringWaterflooding and EOR

Areal Extent of Heated Zone in Thermal Recovery

A=QihMrG43560⋅4ΔTαsMs2A=\frac{Q_ihM_rG}{43560\cdot4\Delta T\alpha_sM_s^2}
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Reservoir EngineeringWaterflooding and EOR

Average Reservoir Temperature in Cyclic Steam Injection

Ta=Ti+(Ts−Ti)[fVDfHD(1−fpD)−fpD]T_a=T_i+(T_s-T_i)[f_{VD}f_{HD}(1-f_{pD})-f_{pD}]
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Reservoir EngineeringWaterflooding and EOR

Burned Reservoir Volume from Air Requirement

Vrb=0.0230GaEOaRV_{rb}=0.0230\frac{G_aE_O}{a_R}
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Reservoir EngineeringWaterflooding and EOR

Chromatographic Lag in Polymer Flooding

CL=11+Aρr(1−ϕ)CϕSwCL=\frac{1}{1+\frac{A\rho_r(1-\phi)}{C\phi S_w}}
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Reservoir EngineeringWaterflooding and EOR

Combustion Front Advancement Rate

vb=EOuaarv_b=E_O\frac{u_a}{a_r}
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Reservoir EngineeringWaterflooding and EOR

Cumulative Heat Injected for Steam Drive - Myhill and Stegemeier

Qi=wi(cwΔT+fsdhLvdh)Q_i=w_i(c_w\Delta T+f_{sdh}L_{vdh})
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Reservoir EngineeringWaterflooding and EOR

Cumulative Oil Displacement from Water Saturation Change

Np=Vp(Sw−Siw)N_p=V_p(S_w-S_{iw})
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Reservoir EngineeringWaterflooding and EOR

Dimensionless Air Injection Rate for In-Situ Combustion

iD=iaLhumini_D=\frac{i_a}{Lhu_{min}}
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Reservoir EngineeringWaterflooding and EOR

Dimensionless Heat Injection Rate - Gringarten and Sauty

QiD=MfMrhti4αsMs2L2Q_{iD}=\frac{M_fM_rh_ti}{4\alpha_sM_s^2L^2}
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Reservoir EngineeringWaterflooding and EOR

Dimensionless Steam Heat-Capacity Ratio

Fdh=ρw(CwΔT+fsLv)MrΔTF_{dh}=\frac{\rho_w(C_w\Delta T+f_sL_v)}{M_r\Delta T}
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Reservoir EngineeringWaterflooding and EOR

Dimensionless Time in Wet Combustion - Kuo

tD=4Ms2αstMr2ht2t_D=\frac{4M_s^2\alpha_s t}{M_r^2h_t^2}
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Reservoir EngineeringWaterflooding and EOR

Dykstra-Parsons Coefficient

V=k50−k84.1k50V=\frac{k_{50}-k_{84.1}}{k_{50}}
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Reservoir EngineeringWaterflooding and EOR

Effective Apparent Transmissivity

Tai=kaihaμaiT_{ai}=\frac{k_{ai}h_a}{\mu_{ai}}
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Reservoir EngineeringWaterflooding and EOR

Effective Oil Transmissivity for Thermal Stimulation

Tao=141.2FGRqmaxT_{ao}=141.2\frac{F_G}{R_{qmax}}
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Reservoir EngineeringWaterflooding and EOR

Equivalent Atomic H/C Ratio for In-Situ Combustion Fuel

xHC=4(1−mCO)0.27cN2−cO2cCO2+2mCO−4x_{HC}=4(1-m_{CO})\frac{0.27c_{N2}-c_{O2}}{c_{CO2}}+2m_{CO}-4
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Reservoir EngineeringWaterflooding and EOR

Equivalent Steam Volume Injected - Myhill and Stegemeier

Ws,eq=2.853×10−6Cw(Tsb−Ta)+fsbLvbCw(Ti−To)+fvdhLvdhW_{s,eq}=2.853\times10^{-6}\frac{C_w(T_{sb}-T_a)+f_{sb}L_{vb}}{C_w(T_i-T_o)+f_{vdh}L_{vdh}}
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Reservoir EngineeringWaterflooding and EOR

Equivalent Water Saturation in Burned Zone - Nelson

SwF=0.319xarϕ(4−2m+x)S_{wF}=\frac{0.319xa_r}{\phi(4-2m+x)}
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Reservoir EngineeringWaterflooding and EOR

Fraction of Injected Heat Remaining in Reservoir

Eh=QQiE_h=\frac{Q}{Q_i}
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Reservoir EngineeringWaterflooding and EOR

Heat Released During In-Situ Combustion - Burger and Sahuquet

(dh)a=94−67.9m+31.2x1−0.5m+0.25x(dh)_a=\frac{94-67.9m+31.2x}{1-0.5m+0.25x}
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Reservoir EngineeringWaterflooding and EOR

Heat Remaining in Reservoir - Marx and Langenheim

Q=QiMr2h2G4αsMs2Q=\frac{Q_iM_r^2h^2G}{4\alpha_sM_s^2}
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Reservoir EngineeringWaterflooding and EOR

Heated-Zone Oil Recovery from Air-Oil Ratio

Ecb=5.615arFϕEO2(Soi−Sof)E_{cb}=\frac{5.615a_r}{F\phi E_{O2}(S_{oi}-S_{of})}
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Reservoir EngineeringWaterflooding and EOR

Hot-Water Flood Fractional Flow from Mobility Ratio

fw(S,T)=11+M(S,T)−1f_{w(S,T)}=\frac{1}{1+M(S,T)^{-1}}
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Reservoir EngineeringWaterflooding and EOR

Hot-Water Flood Layer Saturation from Temperature

S=0.698−0.1(Tj−117275)S=0.698-0.1\left(\frac{T_j-117}{275}\right)
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Reservoir EngineeringWaterflooding and EOR

Hot-Water Flood Real Time from Dimensionless Time

t=h2Mr2tD4αsMs2t=\frac{h^2 M_r^2 t_D}{4\alpha_s M_s^2}
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Reservoir EngineeringWaterflooding and EOR

Hot-Water Heated-Zone Area Growth Rate

A˙=1.289×10−4qTjfwϕh\dot A=1.289\times10^{-4}\frac{qT_jf_w}{\phi h}
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Reservoir EngineeringWaterflooding and EOR

Ignition Delay Time in In-Situ Combustion

tig=2.04×10−7MrTa2(1+2RTa/Ea)Rexp⁡(Ea/RTa)EaΔhaϕSoρoAcPO2nt_{ig}=\frac{2.04\times10^{-7}M_rT_a^2(1+2RT_a/E_a)R\exp(E_a/RT_a)}{E_a\Delta h_a\phi S_o\rho_oA_cP_{O2}^{n}}
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Reservoir EngineeringWaterflooding and EOR

In-Situ Combustion Oil Production - Nelson and McNeil

Np=7758ϕ[Vr(Si−Sf)+0.4(Vp−Vr)Si]N_p=7758\phi\left[V_r(S_i-S_f)+0.4(V_p-V_r)S_i\right]
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Reservoir EngineeringWaterflooding and EOR

In-Situ Combustion Temperature Increase Rate

dTdt=86400(SoρoϕAcPO2nMr)exp⁡(−EaRTab)\frac{dT}{dt}=86400\left(\frac{S_o\rho_o\phi A_cP_{O2}^{n}}{M_r}\right)\exp\left(-\frac{E_a}{RT_{ab}}\right)
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Reservoir EngineeringWaterflooding and EOR

In-Situ Combustion Water Production - Nelson and McNeil

Wp=7758Vrϕ(Siw−Sfw)W_p=7758V_r\phi(S_{iw}-S_{fw})
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Reservoir EngineeringWaterflooding and EOR

Latent Heat Fraction in Steam Drive Injection

fhv=[1+Cw(Ti−Ta)fsdhLhc]−1f_{hv}=\left[1+\frac{C_w(T_i-T_a)}{f_{sdh}L_{hc}}\right]^{-1}
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Reservoir EngineeringWaterflooding and EOR

Minimum Air Flux for Fire-Front Advance - Nelson and McNiel

umin=0.125arEO2u_{min}=\frac{0.125a_r}{E_{O2}}
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Reservoir EngineeringWaterflooding and EOR

Myhill-Stegemeier Thermal Dimensionless Time

tD=4(MsMR)2αsht2tt_D=4\left(\frac{M_s}{M_R}\right)^2\frac{\alpha_s}{h_t^2}t
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Reservoir EngineeringWaterflooding and EOR

Oil Breakthrough Newly Swept Zone

Onsz=PVΔEas(Swbt−Swi)O_{nsz}=PV\Delta E_{as}(S_{wbt}-S_{wi})
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Reservoir EngineeringWaterflooding and EOR

Oil Solubilization Factor

S=CoCsS=\frac{C_o}{C_s}
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Reservoir EngineeringWaterflooding and EOR

Oil Volume at Breakthrough - Craig, Geffen, and Morse

Obt=PV Eas,bt(Swbt,av−Swi)O_{bt}=PV\,E_{as,bt}(S_{wbt,av}-S_{wi})
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Reservoir EngineeringWaterflooding and EOR

Oxygen Reaction Rate per Unit Fuel Mass

moxy=PO2Acexp⁡(EaRTa)m_{oxy}=P_{O2}A_c\exp\left(\frac{E_a}{RT_a}\right)
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Reservoir EngineeringWaterflooding and EOR

Reservoir Fuel Burned per Bulk Volume - Nelson and McNiel

mR=1−ϕ1−ϕEmEm_R=\frac{1-\phi}{1-\phi_E}m_E
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Reservoir EngineeringWaterflooding and EOR

Slug Size in Polymer Floods

S=Aρr(1−ϕ)CϕS=\frac{A\rho_r(1-\phi)}{C\phi}
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Reservoir EngineeringWaterflooding and EOR

Steady-State Five-Spot Steam-Drive Injection Rate

i=(7.082×10−32π)(πk(h/μ)ln⁡(208.71A/rw)−0.964)(Pi−Pb)i=\left(\frac{7.082\times10^{-3}}{2\pi}\right)\left(\frac{\pi k(h/\mu)}{\ln(208.71\sqrt{A}/r_w)-0.964}\right)(P_i-P_b)
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Reservoir EngineeringWaterflooding and EOR

Steam Drive Cumulative Oil Produced - Prats

Np=7758ϕhnht(Soi−Sor)EcVsN_p=7758\phi\frac{h_n}{h_t}(S_{oi}-S_{or})E_cV_s
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Reservoir EngineeringWaterflooding and EOR

Steam Drive Heat Injection Rate from Boiler Feed Water

Qi=wi(62.4)(5.615)[Cw(Ti−Ta)+fsdhLhc]Q_i=w_i(62.4)(5.615)[C_w(T_i-T_a)+f_{sdh}L_{hc}]
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Reservoir EngineeringWaterflooding and EOR

Steam Zone Reservoir Volume from Injected Heat

Vs=QitEhs38.1⋅43560(Ti−Ta)V_s=\frac{Q_i t E_{hs}}{38.1\cdot43560(T_i-T_a)}
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Reservoir EngineeringWaterflooding and EOR

Steam-Heated Area Growth - Marx and Langenheim

As=QietDEt43560ΔTMrhA_s=\frac{Q_i e^{t_D}E_t}{43560\Delta T M_rh}
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Reservoir EngineeringWaterflooding and EOR

Steam-Oil Ratio - Marx and Langenheim

Fso=Ws,eqNpF_{so}=\frac{W_{s,eq}}{N_p}
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Reservoir EngineeringWaterflooding and EOR

Steam-Zone Growth Increment from Heat Capacity

dzs=(4Msα1/2CwTLvMRse)dtπdz_s=\left(\frac{4M_s\alpha^{1/2}C_wT}{L_vM_{Rse}}\right)\sqrt{\frac{dt}{\pi}}
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Reservoir EngineeringWaterflooding and EOR

Water Cut - Stiles

fw=khMwokhMwo+ktht−khf_w=\frac{khM_{wo}}{khM_{wo}+k_th_t-kh}
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Reservoir EngineeringWaterflooding and EOR

Water-Drive Recovery Efficiency - Craig Correlation

ER=54.898(ϕ(1−Sw)Boi)0.0422(kμwiμoi)0.0770Sw−0.1903(PiPa)−0.2159E_R=54.898\left(\frac{\phi(1-S_w)}{B_{oi}}\right)^{0.0422}\left(\frac{k\mu_{wi}}{\mu_{oi}}\right)^{0.0770}S_w^{-0.1903}\left(\frac{P_i}{P_a}\right)^{-0.2159}
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Reservoir EngineeringWaterflooding and EOR

Waterflood Oil Displacement Ratio from Average Saturation

Qp=Sw−Siw1−fsQ_p=\frac{S_w-S_{iw}}{1-f_s}
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Reservoir EngineeringWaterflooding and EOR

Welge Extension Fractional Flow Relative Permeability Ratio

relpr=μwμo1−foforelpr=\frac{\mu_w}{\mu_o}\frac{1-f_o}{f_o}
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Reservoir EngineeringWaterflooding and EOR

Wet In-Situ Combustion Oil Production - Nelson and McNeil

Np=(7758ϕEfirehnht)[Vr(Si−Sf)+Vs(Si−Sr)]N_p=\left(\frac{7758\phi E_{fire}h_n}{h_t}\right)[V_r(S_i-S_f)+V_s(S_i-S_r)]
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