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Material Balance Equations

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

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

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Reservoir EngineeringMaterial Balance

Cumulative Gas Production from Gas Expansion

Gp=G(1BgiBg)G_p = G\left(1-\frac{B_{gi}}{B_g}\right)
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Reservoir EngineeringMaterial Balance

Gas Drive Index in Gas Reservoirs

GDI=GGp(1BgiBg)GDI=\frac{G}{G_p}\left(1-\frac{B_{gi}}{B_g}\right)
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Reservoir EngineeringMaterial Balance

Gas Expansion Factor from Cumulative Gas Production

Eg=EgiGp43560Ahϕ(1Swi)E_g=E_{gi}-\frac{G_p}{43560Ah\phi(1-S_{wi})}
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Reservoir EngineeringMaterial Balance

Gas Expansion Term in Gas Reservoirs

Eg=BgBgiE_g = B_g - B_{gi}
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Reservoir EngineeringMaterial Balance

Gas Material Balance Equation

Pz=Pizi(PscTTscV)Gp\frac{P}{z} = \frac{P_i}{z_i} - \left(\frac{P_{sc}T}{T_{sc}V}\right)G_p
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Reservoir EngineeringMaterial Balance

Gas Recovery Factor from p/z Material Balance

RFg=1PzPi/ziRF_g=1-\frac{P_z}{P_i/z_i}
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Reservoir EngineeringMaterial Balance

Gas Saturation in Water-Drive Gas Reservoirs

Sg=(GGp)BgWeWpBw1SwiSgrwSgrwGBgi1SwiWeWpBw1SwiSgrwS_g=\frac{(G-G_p)B_g-\frac{W_e-W_pB_w}{1-S_{wi}-S_{grw}}S_{grw}}{\frac{GB_{gi}}{1-S_{wi}}-\frac{W_e-W_pB_w}{1-S_{wi}-S_{grw}}}
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Reservoir EngineeringMaterial Balance

Havlena-Odeh Cumulative Water Influx from Fluid Withdrawal

We=FGEGW_e=F-GE_G
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Reservoir EngineeringMaterial Balance

Initial Gas Cap

G=mNBoiBgiG = \frac{m N B_{oi}}{B_{gi}}
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Reservoir EngineeringMaterial Balance

Initial Gas In Place for Water-Drive Gas Reservoir

G=GpBg(WeWpBw)BgBgiG=\frac{G_pB_g-(W_e-W_pB_w)}{B_g-B_{gi}}
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Reservoir EngineeringMaterial Balance

Modified Cole Plot for Water-Drive Gas Reservoirs

FEt=G+WeEt\frac{F}{E_t}=G+\frac{W_e}{E_t}
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Reservoir EngineeringMaterial Balance

Original Gas in Place from p/z Material Balance

G=Gp1Pz/(Pi/zi)G=\frac{G_p}{1-P_z/(P_i/z_i)}
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Reservoir EngineeringMaterial Balance

Rock Expansion Term in Abnormally Pressured Gas Reservoirs

ER=cf+cwSwi1SwiE_R=\frac{c_f+c_wS_{wi}}{1-S_{wi}}
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Reservoir EngineeringMaterial Balance

Schilthuis Cumulative Water Influx

We=Js(PiPˉ)ΔtW_e=J_s(P_i-\bar{P})\Delta t
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Reservoir EngineeringMaterial Balance

Trapped Gas Volume in Water-Invaded Zones

TG=WeWpBw1SwiSgrwSgrwTG=\frac{W_e-W_pB_w}{1-S_{wi}-S_{grw}}S_{grw}
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Reservoir EngineeringMaterial Balance

Underground Fluid Withdrawal - Havlena and Odeh

F=GpBg+WpBwF = G_p B_g + W_p B_w
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Reservoir EngineeringMaterial Balance

van Everdingen-Hurst Single-Step Water Influx

We=BΔpWeDW_e=B\Delta p W_{eD}
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Reservoir EngineeringMaterial Balance

Water Influx Constant for van Everdingen-Hurst Aquifer

B=1.119ϕctre2hfB=1.119\phi c_tr_e^2hf
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Reservoir EngineeringMaterial Balance

Water Influx from Pot Aquifer Model

We=ctWi(PiP)W_e=c_tW_i(P_i-P)
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Reservoir EngineeringMaterial Balance

Water-Drive Index for Gas Reservoirs

WDI=WeWpBwGpBgWDI=\frac{W_e-W_pB_w}{G_pB_g}
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