Ejemplos de Gases #8

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    EJEMPLOS DE GASES #8

    1.  A sour natural gas has a specific gravity of 0,7. The compositional analysis

    of the gas shows that it contains 5 percent CO2 and 10 percent H2S.Calculate the density of the gas at 3.500 psia and 160°F.

    SOLUTION

    Step 1. Calculate the uncorrected pseudo-critical properties of the gasfrom Equations ( ) and ( ):

     

     

    Step 2. Calculate the pseudo-critical temperature adjustment factor from

    Equation (   ):  

    Step 3. Calculate the corrected pseudo-critical temperature by applyingEquation ( ):

     Step 4. Adjust the pseudo-critical pressure Ppc by applying Equation ( ):

     Step 5. Calculate Ppr  and Tpr :

     

     Step 6. Determine the z-factor from Figure:

    z = 0,89

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    Step 7. Calculate the apparent molecular weight of the gas from Equation ( ):  Step 8. Solve for gas density:

     

    2. Using the data in Example 1, calculate the density by employing the abovecorrection procedure. 

    Step 1. Determine the corrected pseudo-critical properties from Equations( ) and ( ):

       

    Step 2. Calculate Ppr and Tpr :    

    Step 3. Determine the gas compressibility factor from Figure:

    z = 0,820

    Step 4. Calculate the gas density:

     

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    3.  A hydrocarbon gas system has the following composition:

    Component yi 

    C1  0,83

    C2  0,06

    C3  0,03

    n-C4  0,02

    n-C5  0,02

    C6  0,01 

    C7+  0,03 

    The heptanes-plus fraction is characterized by a molecular weight and specificgravity of 161 and 0,81, respectively.

    a. Using Sutton’s methodology, calculate the density of the gas 2.000 psi and150°F.

    b. Recalculate the gas density without adjusting the pseudo-critical properties.

    SOLUTION

    PART A.

    Step 1. Calculate the critical properties of the heptanes-plus fraction by the Riazi-

    Daubert correlation ( ):  

         Step 2. Construct the following table:

    Component yi  Mi  Tci  Pci  yiMi  yi(Tci /Pci) yiz(̅ )i  yi(Tc /̅ )i C1  0,83 16,0 343,33 666,4 13,31 0,427 0,596 11,039

    C2  0,06 30,1 549,92 706,5 1,81 0,047 0,053 1,241

    C3  0,03 44,1 666,06 616,4 1,32 0,032 0,031 0,805

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     Step 7. Calculate the pseudo-reduced properties of the gas by applying Equations

    (

    ) and (

    ), to give:

       

    Step 8. Calculate the z-factor from Figure, to give:

    z = 0,745

    Step 9. From Equation ( ), calculate the density of the gas:  PART B.

    Step 1. Calculate the specific gravity of the gas

       Step 2. Solve for the pseudo-critical properties by applying Equations ( ) and ( ):

       

    Step 3. Calculate  and :

     

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    Step 4. Calculate the z-factor from Figure, to give:

     

    Step 5. From Equation , calculate the density of the gas:  

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    4.  A hydrocarbon gas mixture has a specific gravity of 0,72. Calculate the

    isothermal gas compressibility coefficient at 2.000 psia and 140°F by

    assuming:

    a. An ideal gas behavior

    b. A real gas behavior

    SOLUTION

    a. Assuming an ideal gas behavior, determine   by applying Equation  

     

    b. Assuming a real gas behavior

    Step 1. Calculate  and by applying Equations  and

     

       

    Step 2. Compute and  from Equations  and .

       

    Step 3. Determine the z-factor from Figure:

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    Step 4. Calculate the slope *+ :

     

    Step 5. Solve for  by applying Equation  

     

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    Step 6. Calculate from Equation  

     

    5. Using Trube’s generalized charts, rework Example 4.

    SOLUTION

    Step 1. From Figure, find :

     

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    Step 2. Solve for by applying Equation

    :

     

    6.  A gas well is producing at a rate of from a gas reservoir atan average pressure of 2.000 psia and a temperature of 120°F. The specific

    gravity is 0,72. Calculate the gas flow rate in scf/day.

    SOLUTION

    Step 1. Calculate the pseudo-critical properties from Equations  and

    , to give:  

    Step 2. Calculate the

     and

    :

       

    Step 3. Determine the z-factor from Figure:

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     Step 4.

     

    Calculate the gas expansion factor from Equation :  

    Step 5. Calculate the gas flow rate in scf/day by multiplying the gas flow rate (in

    ft3/day) by the gas expansion factor  as expressed in scf/ft3:

     

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    7. Using the data given in Example 6, calculate the viscosity of the gas.

    SOLUTION

    Step 1. 

    Calculate the apparent molecular weight of the gas:

     Step 2.

     Determine the viscosity of the gas at 1 atm and 140°F from Figure:

     Step 3. Calculate

      and

    :

       

    Step 4. Determine the viscosity rates from Figure:

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    Step 5. Solve for the viscosity of the natural gas: