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Material Balance and Production Equations

Browse 20 material balance and production petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Material Balance and Production equations group related upstream petroleum engineering formulas by workflow so engineers can find the right calculation faster.

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Reservoir EngineeringMaterial Balance and Production

Connate Water and Rock Expansion Term

Efw=BticwSwi+cf1SwiΔpE_{fw} = B_{ti}\frac{c_wS_{wi}+c_f}{1-S_{wi}}\Delta p
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Reservoir EngineeringMaterial Balance and Production

Cumulative Gas Production – Tarner’s Method

Gp=N[(RsiRs)BoiBoBg]Np(BoBgRs)Gp = N \cdot \left[ (Rsi - Rs) - \frac{Boi - Bo}{Bg} \right] - Np \cdot \left( \frac{Bo}{Bg} - Rs \right)
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Reservoir EngineeringMaterial Balance and Production

Cumulative Oil Production in Undersaturated Oil Reservoirs

Np=Nce(BoBoi)ΔPN_p=Nc_e\left(\frac{B_o}{B_{oi}}\right)\Delta P
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Reservoir EngineeringMaterial Balance and Production

Gas Cap Ratio

m=GBgiNBoim=\frac{GB_{gi}}{NB_{oi}}
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Reservoir EngineeringMaterial Balance and Production

Gas Cap Shrinkage from Gas Cap Production

Gs=GpcBgmNBoi(BgBgi1)G_s=G_{pc}B_g-mNB_{oi}\left(\frac{B_g}{B_{gi}}-1\right)
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Reservoir EngineeringMaterial Balance and Production

Gas Produced by Gas Expansion

Gp=43560Ahϕ(1Swi)(1Bgi1Bg)G_p=43560Ah\phi(1-S_{wi})\left(\frac{1}{B_{gi}}-\frac{1}{B_g}\right)
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Reservoir EngineeringMaterial Balance and Production

Hammerlindl Method for Gas in Place

G=GappRG=\frac{G_{app}}{R}
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Reservoir EngineeringMaterial Balance and Production

Hydrocarbon Pore Volume Occupied by Evolved Solution Gas

Vg,ev=(NRsiNpRp(NNp)Rs)BgV_{g,ev}=\left(NR_{si}-N_pR_p-(N-N_p)R_s\right)B_g
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Reservoir EngineeringMaterial Balance and Production

Hydrocarbon Pore Volume Occupied by Gas Cap

Vgc=mNBoiBgBgiV_{gc}=\frac{mNB_{oi}B_g}{B_{gi}}
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Reservoir EngineeringMaterial Balance and Production

Hydrocarbon Pore Volume Occupied by Remaining Oil

Vro=(NNp)BoV_{ro}=(N-N_p)B_o
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Reservoir EngineeringMaterial Balance and Production

Oil and Dissolved Gas Expansion Term

Eo=(BoBoi)+(RsiRs)BgE_o = (B_o-B_{oi}) + (R_{si}-R_s)B_g
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Reservoir EngineeringMaterial Balance and Production

Oil Bubble Radius for Circular Drainage Area

rob=[5.615Npπϕh((1Swi)/BoiSo/Bo)]0.5r_{ob}=\left[\frac{5.615N_p}{\pi\phi h\left((1-S_{wi})/B_{oi}-S_o/B_o\right)}\right]^{0.5}
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Reservoir EngineeringMaterial Balance and Production

Oil in Place for Undersaturated Oil Reservoirs without Fluid Injection

N=NpBoBoBoi+Boi(Swicw+cf1Swi)ΔPN=\frac{N_pB_o}{B_o-B_{oi}+B_{oi}\left(\frac{S_{wi}c_w+c_f}{1-S_{wi}}\right)\Delta P}
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Reservoir EngineeringMaterial Balance and Production

Oil in Place in Saturated Oil Reservoirs

N=NpBo+(GpNpRs)BgBoBoi+(RsiRs)BgN=\frac{N_pB_o+(G_p-N_pR_s)B_g}{B_o-B_{oi}+(R_{si}-R_s)B_g}
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Reservoir EngineeringMaterial Balance and Production

Oil Material Balance Drive Index Closure

DIsum=DDI+GDI+WDI+CDIDI_{sum} = DDI + GDI + WDI + CDI
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Reservoir EngineeringMaterial Balance and Production

Oil Reservoir Underground Withdrawal

F=Np[Bo+(RpRs)Bg]+WpBwF = N_p\left[B_o + (R_p-R_s)B_g\right] + W_pB_w
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Reservoir EngineeringMaterial Balance and Production

Original Oil in Place from General Oil Material Balance

N=FWeEo+mEg+EfwN = \frac{F-W_e}{E_o+mE_g+E_{fw}}
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Reservoir EngineeringMaterial Balance and Production

Pore Volume Occupied by Injected Gas and Water

Vt=WINJBw+GINJBGINJV_t=W_{INJ}B_w+G_{INJ}B_{GINJ}
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Reservoir EngineeringMaterial Balance and Production

Produced Gas-Oil Ratio

Rp=GpNpR_p=\frac{G_p}{N_p}
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Reservoir EngineeringMaterial Balance and Production

Total Oil Reservoir Expansion Term

Et=Eo+mEg+EfwE_t = E_o + mE_g + E_{fw}
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