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A general material balance equation that can be applied to all reservoir types was first developed by Schilthuis in 1936. Although it is a tank model equation, it can provide great insight for the practicing reservoir engineer. It is written from start of production to any time (t) as follows: Expansion of oil in the oil zone + Expansion of gas in the gas zone + Expansion of connate water in the oil and gas zones + Contraction of pore volume in the oil and gas zones + Water influx + Water injected + Gas injected = Oil produced + Gas produced + Water produced Mathematically, this can be written as:

C S N ( B t - B ti ) + G ( B g - B gi ) + ( NB ti + GB gi ) w wi ∆ p t 1 - S wi Cf + ( NB ti + GB gi ) ∆ p t + W e + W I B Iw + G I B Ig 1 - S wi

= N p B t + N p ( R p - R soi ) B g + W p B w

Where: N Np G GI Gp We WI Wp Bti Boi Bgi Bt Bo Bg Bw BIg = = = = = = = = = = = = = = = = initial oil in place, STB cumulative oil produced, STB initial gas in place, SCF cumulative gas injected into reservoir, SCF cumulative gas produced, SCF water influx into reservoir, bbl cumulative water injected into reservoir, STB cumulative water produced, STB initial two-phase formation volume factor, bbl/STB = Boi initial oil formation volume factor, bbl/STB initial gas formation volume factor, bbl/SCF two-phase formation volume factor, bbl/STB = Bo + (Rsoi - Rso) Bg oil formation volume factor, bbl/STB gas formation volume factor, bbl/SCF water formation volume factor, bbl/STB injected gas formation volume factor, bbl/SCF 1

© 2003-2004 Petrobjects www.petrobjects.com

Petroleum Reserves Estimation Methods

© 2003-2004 Petrobjects www.petrobjects.com

BIw Rsoi Rso Rp Cf Cw Swi ∆pt p(t)

= = = = = = = = =

injected water formation volume factor, bbl/STB initial solution gas-oil ratio, SCF/STB solution…...

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