Chapter 2 Pressure-Volume-Temperature for Oil PVT analysis – PVT relationship Gas scf Oil simple condition underground condition complex (because of bubble po int) Three main oil PVT parameters The three main parameters required to relate surface to reservoir volumes for an oil reservoir: - Rs: The solution (or dissolved) gas-oil ratio - Bo: The oil formation volume factor - Bg: The gas formation volume factor Definition of the basic oil PVT parameters - Rs: The solution (or dissolved) gas-oil ratio [] SCF gas STB oil at reservoir P&T - Bo: The oil formation volume factor [ ] RB (oil dissolved gas ) STB oil at reservoir P&T - Bg: The gas formation volume factor [] Note : RB free gas SCF gas T 60 F Standard Condition p 14.7 psia R s , Bo , B g f ( P , T ) For T = const. R s , Bo , B g f ( P ) Determination and Conversion of PVT Data Determination of three main oil PVT parameters(RS, Bo, Bg) -> PVT = f (P only) by routine laboratory analysis Conversion of PVT data, as presented by the laboratory, to the form required in the field, Laboratory - an absolute set of measurements Field - depend up as the manner of surface separation of the gas and oil The complexity of Oil PVT For gas, PVT relation pV nzRT E 35.37 p [] scf rcf zT -- Simple relation For oil, PVT relation > Complex; PVT parameters must be measured by laboratory analysis of crude oil samples. >Relationship between surface and reservoir hydrocarbon volumes. The complexity of Oil PVT The complexity in relating surface volumes of hydrocarbon production to their equivalent volumes in the reservoir can be appreciated by considering the following figures: Undersaturated oil saturated oil gas saturated oil + free gas (or liberated solution gas) They are traveling in reservoir at different velocity How to divide the observed surface gas production into liberated and dissolved gas volumes in the reservoir? Control in relating surface volumes of production to underground withdrawal is gained by knowing the three oil PVT parameters which can be measured by laboratory experiments performed on samples of the reservoir oil, plus its originally dissolved gas. Oil Reservoir & Surface Volume – Above Bubble Point Undersaturated oil Oil Reservoir & Surface Volume – Below Bubble Point Saturated oil gas saturated oil + free gas (or liberated solution gas) They are traveling in reservoir at different velocity The instantaneous gas-oil ratio or producing gas-oil ratio R( SCF STB ) the instantaneous gas-oil ratio or producing gas-oil ratio (Underground withdrawal ) STB Bo ( R Rs ) Bg ( RB STB ) Bo as Function of Pressure Rs as Function of Pressure Bg and E as Function of Pressure Producing Gas-oil Ratio (R) as Function of Pressure Exercise 2.1 - Underground withdrawal Given: q o x ( STB ) D q g y ( SCF ) D measured at t during the producing life Calculate: [in _( RB )] ? D (1) Underground withdrawal rate expressed in terms of x & y (2) Underground withdrawal rate [in _( RB D)] ? if pres = 2400 psia , qo =2500 STB/D , qg=2.125 MMscf/D and PVT data in fig. 2.5(a)~(c) (p.51) or table 2.4 (P.65) (3) Pressure gradient of oil =? if o 52.8 lbm / ft3(at s.c), r g 0.67 (air 1), p 2400 psia (1) R = y/x = qg/qo [=] SCF/STB p is known Bo ; Rs ; Bg Underground withdrawal qo x( STB ) Bo ( RB ) x Bo ( RB ) D STB D y q g x( STB ) ( Rs )( SCF ) Bg ( RB ) D x STB SCF y x( Rs ) B g ( RB ) D x y q t q o q g x Bo x ( R s ) B g x P = 2400 psia from table 2.4 Bo =1.1822RB/STB Rs = 352 SCF/STB Bg = 0.0012 RB/SCF x = qo = 2500 STB/D; y = qg = 2.125 MMSCF/D qo 2500 1.1822 2955.5 RB D 2.125 10 6 q g 2500 ( 352) 0.0012 1494 RB D 2500 qt qo q g 2955.5 1494 4449.5 RB D (3) dP o g dD To find o , applying mass balance, such as Mass of 1 STB of oil + = Rs scf dissolved gas at standard condition Mass of Bo RB of oil + dissolved gas in the reservoir condition [ osc lbm 5.615 SCF lbm SCF ( ) 1 ( STB) ] gsc ( )[ Rs 1 ( STB)] SCF 1 STB SCF STB lbm RB 5.61458 ft 3 or ( 3 ) 1 ( STB) Bo ( ) ft STB 1 RB 5.615 osc Rs gsc 5.615Bo or or 5.615osc Rs gsc 5.615Bo 5.615osc Rs [rg 0.0763] 5.615Bo 5.615 52.8 352[0.67 0.0763] 47.37 lbm / ft 3 5.615 1.1822 dP lbm 1 slug slug ft ft or g (47.37 3 ) (32.2 2 ) 47.37 3 2 s dD ft 32.2 lbm ft s 1 ft 2 47.37 lb f 1 47.37 3 2 ft 144 in 144 in 2 ft lb f 0.329 psi / ft