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Ref.1: Brill & Beggs, Two Phase Flow in Pipes, 6 th Edition, 1991. Chapter 2. Ref.2: Guo, Lyon & Ghalambor, Petroleum Production Engineering, Elsevier Science & Technology, 2007, Chapter 1&2.

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Introduction A complete oil or gas production system consists of a reservoir, well, flowline, separators, pumps, and transportation pipelines.

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A reservoir is a porous and permeable underground formation containing an individual bank of hydrocarbons confined by impermeable rock or water barriers and is characterized by a single natural pressure system. Hydrocarbon accumulations are classified as oil, gas condensate, and gas reservoirs. Gas wells: GOR >100,000 scf/stbo Compositional model Gas condensate wells: 5,000

Black Oil Model Gas Oil Ratio Lasater correlation (recommended for o API>15): 1. Calculate gd is sp. gr. of dissolved gas at sc. 2. Obtain y g from Figure 2.2.Figure 2.2. 3. Obtain M o from Figure 2.1.Figure 2.1. 4. Calculate C is the tuning parameter (default value of C is 1.0).

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Black Oil Model Gas Oil Ratio Standing correlation (recommended for o API

Black Oil Model Oil Viscosity 2- Viscosity of undersaturated oil (Vazquez): Procedure for calculating P b : - Assume P b =P and calculate R s (from Standing or Lasater) - If R s >R p the oil is undersaturated, otherwise the oil is saturated - For undersaturated oil, assume R s =R p - Calculate P b from Standing or Lasater correlation.

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Black Oil Model Oil Viscosity Standing Correlation: A- Dead oil viscosity (P =1.0 atm) B- Saturated oil viscosity C- Undersaturated oil viscosity

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Black Oil Model Gas-Oil Surface Tension Baker and Swerdloff correlation: 1- Dead oil surface tension ( OD ): An estimate of oil surface tension at atmospheric pressure, can be obtained from Figure 2.37.Figure 2.37 Note: Extrapolation beyond the temperature rang of [68 o F 100 o F] is not recommended. 2- Live oil surface tension ( O ): The surface tension of crude oil containing dissolved gas expressed as a percent of OD can be obtained from Figure 2.38.Figure 2.38

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Black Oil Model Free Gas Density 1- Engineering Equation of state:

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Black Oil Model Free Gas Density 2- Gas formation volume factor (B g ):

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Black Oil Model Free Gas Compressibility Factor 1- Standing and Katz correlation:, Figure 2.21Figure 2.21 2- Brill and Beggs correlation:

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Black Oil Model Free Gas Pseudocritical Properties 1- Brown et al. correlation: Figure 2.20Figure 2.20 Valid for H 2 S < 3%, N 2 < 5%, and total content of inorganic compounds less than 7%. 2- Ahmed correlation:

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Black Oil Model Free Gas Viscosity 1- Carr et al. correlation: A- Gas viscosity at atmospheric pressure ( 1 ): Figure 2.35Figure 2.35 Valid for 40 < T( o F) < 400 B- Viscosity ratio ( / 1 ): Figure 2.36Figure 2.36 Valid for 1.0 < P pr < 20.0 C- Free gas viscosity:

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Black Oil Model Free Gas Viscosity 2- Lee et al. correlation:

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Black Oil Model Water (Brine) Density A- Water formation volume factor (B w ): B- Water density ( w ): Figure 2-11 Figure 2-13Figure 2-14 Figure 2-19

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Black Oil Model Water Viscosity A- Viscosity of pure water (Van Wingen correlation): w : Figure 2.32Figure 2.32 B- Viscosity of brine (Frick correation): w (cp) = w Ratio, Ratio: Figure 2.33Figure 2.33

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Compositional Model The critical properties of components that are usually found in gas and gas condensate wells are shown in this Table.Table The components that are heavier than n-Hexane are usually shown as a pesudocomponent (C 7 + ). For calculating the properties of gas and gas condensate wells, the compositional model is recommended. Many gas or gas condensate wells exhibit retrograde condensation, phenomena in which condensation occurs during pressure reduction (shaded region within the two-phase envelope of Figure).Figure

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Compositional Model Flash Calculation Equilibrium Flash K i = y i / x i Res. Cond.: P, T Composition: Z i for i = 1, , n Mole flowrate: F Free gas flowrate: V Composition: y i Condensate flowrate: L Composition: x i SRK or PR

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Compositional Model Gas and Liquid Density Once the compressibilities of each phase is determined, the gas and liquid densities can be determined from: Other properties can be calculated based on the composition of liquid and gas phases (GPSA, Engineering Data Book, 11 th edition, 1998, Chapter 23).

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Compositional Model Pesudocomponents If you like to use compositional model for oil wells, the oil must defined as some pesudocomponents based on distillation curve. There are several methods of measuring and reporting distillation curves of crude oil and petroleum fractions: 1- ASTM D 86 2- True Boiling Point (TBP) 3- Simulated Distillation by GC (ASTM D 2887) 4- Equilibrium Flash Vaporization (EFV) 5- Distillation at Reduced Pressures (ASTM D 1160)

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