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SSE-02 Using the Membrane Unit in PRO/II New Application Brief U-2. Bernie Unger North American User Group October 14-16. Membrane Unit (sometimes called Permeation Unit). Permeate. P i, perm. P i, res. Residue.
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SSE-02Using the Membrane Unit in PRO/IINew Application Brief U-2 Bernie Unger North American User Group October 14-16
Membrane Unit (sometimes called Permeation Unit) Permeate Pi, perm Pi, res Residue • A simple model to simulate components that can migrate selectively across a membrane. • Composed of a bundle of hollow fibers. • Flow passes from the high pressure feed/residue side to the low pressure permeate side of the fiber
Membrane Unit Assumptions • Constant total pressure on both the permeate and feed/residue side • The driving force is partial pressure as calculated by ideal gas law • The permeate side gas is continually swept away from the membrane
Membrane Unit where: • Ri = Flowrate in std. vol/time • Ki = Permeation constant in vol/(time-area-pres) • Area = Membrane area • Pi = Partial pressure of component i Pi, perm Pi, surf Pi, res
Membrane Unit • Solution technique • Integrate on dArea • Solution characteristics • Based on partial pressure, not fugacity, therefore solutions do not change with change in thermo method • Limiting case of small area: Flowrate can be calculated from product partial pressures • Because permeate is continually carried away from the membrane, a membrane unit with 10 area units will have the exact same performance as ten 1 area unit membrane units in series.
Membrane UnitOil Production with CO2 Injection Membrane CO2 Recovery Fuel Gas CO2 Makeup Condensate Well Production Oil/Gas Separator CO2 Injection Oil Product
Membrane Unit Flowsheet considerations • The fuel gas is consumed on plant to drive process equipment. • The fuel gas is targeted to 900 Btu/scf for proper equipment operation. • The pressure of the permeate side of the membrane units is adjusted to achieve the heat content. • The pressure drop across the residue side is negligible. • Two membrane shells are included to allow intermediate condensate dropout. • The temperature equilibrates between the permeate and the residue. The product streams have a lower temperature because of the Joule-Thomson effect of the pressure drop.
Membrane Unit Feed Stream Rate, 1000*scfh 377.5 Temperature, F 100.00 Pressure, psia 350.00 Molecular Weight 41.3642 Vapor Fraction 1.000 Molar Composition 1 - N2 0.0100 2 - H2S 1.5000E-03 3 - CO2 0.8500 4 - C1 0.0955 5 - C2 0.0150 6 - C3 0.0100 7 - IC4 5.0000E-03 8 - NC4 5.0000E-03 9 - IC5 5.0000E-03 10 - NC5 1.0000E-03 11 - NC6 1.0000E-03 12 - NC7 1.0000E-03
Membrane Unit Feed Stream Rate, 1000*scfh 377.5 Temperature, F 100.00 Pressure, psia 350.00 Molecular Weight 41.3642 Vapor Fraction 1.000 Molar Composition 1 - N2 0.0100 2 - H2S 1.5000E-03 3 - CO2 0.8500 4 - C1 0.0955 5 - C2 0.0150 6 - C3 0.0100 7 - IC4 5.0000E-03 8 - NC4 5.0000E-03 9 - IC5 5.0000E-03 10 - NC5 1.0000E-03 11 - NC6 1.0000E-03 12 - NC7 1.0000E-03
Membrane Unit Vendor Supplied Permeability Component Permeability Permeability at 75 F at 100 F scfd/ft3/psi scfd/ft3/psi N2 0.000499 0.00065 H2S0.008371 0.009869 CO2 0.008366 0.009858 C1 0.000548 0.000713 C2 0.000323 0.000418 C3 0.000091 0.000118 IC4 0.000027 0.000035 NC4 0.000037 0.000047 IC5 0.000028 0.000028 NC5 0.000027 0.000036 NC6 0.000021 0.000029 NC7 0.000019 0.000029
Membrane Unit Permeability Fitted to Arrhenious Form Ki = Ki,o exp[-Ei /(RT)] Component Ki,o Ei N2 0.1885 33958 H2S 0.3337 21146 CO2 0.3296 21079 C1 0.1985 33809 C2 0.1037 33118 C3 0.0306 33375 IC4 0.0066 32125 NC4 0.0099 32125 IC5 0.00004116 2314.5 NC5 0.0081 32590 NC6 0.0268 40960 NC7 0.2194 53642 R = 10.73159, ft3-psia/R-lb-mol
Membrane Unit Solution Technique • Calculators are used to set permeation coefficients. It iteratively retrieves temperature from the membrane unit and recalculates the coefficients based on temperature. • A controller is used to adjust the pressure of the permeate to achieve the heat content of the fuel gas.