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Answered: - PNG 410 APPLIED RESERVOIR ENGINEERING Homework 5 Due: Thursday,


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PNG 410

 

APPLIED RESERVOIR ENGINEERING

 


 

Homework 5

 

Due: Thursday, March 30th, 2016 in class

 

1. A gas reservoir under partial water drive produced 12.0 MMM SCF when the average

 

reservoir pressure had dropped from 3000 psia to 2200 psia. During the same interval, an

 

estimated 5.20 MM bbl of water entered the reservoir based on the volume of the invaded

 

area. If the gas deviation factor at 3000 psia and bottom-hole temperature of 170oF is 0.88

 

and at 2200 psia is 0.78, what is the initial volume of gas in place measured at standard

 

conditions.

 

2. The initial daily production from a gas-condensate reservoir is 186 STB of condensate,

 

3750M SCF of high-pressure gas and 95 M SCF of stock tank gas. The tank oil has a gravity

 

of 51.2 oAPI at 60oF. The specific gravity of the separator gas is 0.712 and of the stock tank

 

gas, 1.30. The initial reservoir pressure is 3480 psia, and the reservoir temperature is 220 oF.

 

Average hydrocarbon porosity is 17.2%. Assume standard conditions of 14.7 psia and 60oF.

 

a. What is the average gravity of the produced gases?

 

b. What is the initial gas-oil ratio?

 

c. Estimate the molecular weight of the condensate.

 

d. Calculate the specific gravity (air = 1.00) of the total well production.

 

e. Calculate the gas deviation factor of the initial reservoir fluid (vapor) at initial

 

reservoir pressure.

 

f. Calculate the initial moles in place per acre-foot.

 

g. Calculate the mole fraction that is gas in the initial reservoir fluid.

 

h. Calculate the initial (sales) gas and condensate in place per acre-foot.

 


 

3. The following data are taken from a study on a recombined sample of separator gas and

 

separator condensate in a PVT cell with an initial hydrocarbon volume of 3958.14 cu cm.

 

The wet gas GPM and the residue gas-oil ratios were calculated using equilibrium ratios for

 

production through a separator operating at 300 psia and 70 oF. The initial reservoir pressure

 

was 4000 psia, which was also close to the dew-point pressure, and reservoir temperature

 

was 186oF.

 

a. On the basis of an initial reservoir content of 1.00 MM SCF of wet gas, calculate the

 

wet gas, residue gas and condensate recovery by pressure depletion for each pressure

 

interval.

 

b. Calculate the dry gas and condensate initially in place based on 1.00 MM SCF of wet

 

gas.

 

c. Calculate the cumulative recovery and the percentage of recovery of wet gas, residue

 

gas and condensate by depletion performance at each pressure.

 


 

d. Place the recoveries at an abandonment pressure of 605 psia on an acre-foot basis

 

corresponding to a porosity of 10% and connate water saturation of 20%.

 


 

4000

 


 

Composition in mole percentages

 

3500

 

2900

 

2100

 

1300

 


 

605

 


 

CO2

 


 

0.18

 


 

0.18

 


 

0.18

 


 

0.18

 


 

0.19

 


 

0.21

 


 

N2

 


 

0.13

 


 

0.13

 


 

0.14

 


 

0.15

 


 

0.15

 


 

0.14

 


 

C1

 


 

67.72

 


 

63.1

 


 

65.21

 


 

69.79

 


 

70.77

 


 

66.59

 


 

C2

 


 

14.1

 


 

14.27

 


 

14.1

 


 

14.12

 


 

14.63

 


 

16.06

 


 

C3

 


 

8.37

 


 

8.25

 


 

8.1

 


 

7.57

 


 

7.73

 


 

9.11

 


 

i-C4

 


 

0.98

 


 

0.91

 


 

0.95

 


 

0.81

 


 

0.79

 


 

1.01

 


 

n-C4

 


 

3.45

 


 

3.4

 


 

3.16

 


 

2.71

 


 

2.59

 


 

3.31

 


 

i-C5

 


 

0.91

 


 

0.86

 


 

0.84

 


 

0.67

 


 

0.55

 


 

0.68

 


 

n-C5

 


 

1.52

 


 

1.4

 


 

1.39

 


 

0.97

 


 

0.81

 


 

1.02

 


 

C6

 


 

1.79

 


 

1.6

 


 

1.52

 


 

1.03

 


 

0.73

 


 

0.8

 


 

C7+

 


 

6.85

 


 

5.9

 


 

4.41

 


 

2

 


 

1.06

 


 

1.07

 


 

143

 


 

138

 


 

128

 


 

116

 


 

111

 


 

110

 


 

0.867

 

0

 

5.254

 

7127

 

0

 


 

0.799

 

224

 

4.578

 

8283

 

3.32

 


 

0.748

 

474

 

3.347

 

11621

 

19.36

 


 

0.762

 

1303

 

1.553

 

26051

 

23.91

 


 

0.819

 

2600

 

0.835

 

49312

 

22.46

 


 

0.902

 

5198

 

0.895

 

45872

 

18.07

 


 

Pressure, psia

 

Component

 


 

Mol. Wt C7+

 

o

 


 

Gas deviation factor for wet gas at 186 F

 

Wet gas production, cu am at cell P and T

 

Wet gas GPM (calculated)

 

Residue gas-oil ratio

 

Retrograde liquid, percentage of cell volume

 


 

4. Given the following data for a gas-condensate reservoir and the accompanying PVT test.

 

4100psia

 

0.63

 

0.1347

 

0.083

 

0.0433

 

0.024

 

0.085

 


 

3400psia

 

0.6328

 

0.144

 

0.0825

 

0.0431

 

0.0226

 

0.075

 


 

2700psia

 

0.6539

 

0.1424

 

0.081

 

0.0411

 

0.0223

 

0.0593

 


 

Mol.wt C6+

 


 

139

 


 

132.8

 


 

117.75

 


 

Sp. Gr. C6+ at 60oF

 


 

0.79

 


 

0.79

 


 

0.79

 


 

Z-factor for wet gas

 

at cell T

 


 

0.87

 


 

0.8

 


 

0.75

 


 

C1

 

C2

 

C3

 

C4

 

C5

 

C6+

 


 

Wet Gas Prodn.

 

(cc at cell P,T)

 


 

0

 


 

248

 


 

543

 


 

5.25

 


 

4.5

 


 

3.3

 


 

Retrograde Liquid

 

(% of cell volume)

 


 

0

 


 

4

 


 

19.8

 


 

Initial cell volume

 


 

4100 cc

 


 

Cell Temperature

 


 

186 oF

 


 

Reservoir size

 

Thickness

 

Average porosity

 

Connate water

 


 

200 acres

 

15 ft

 

0.18

 

0.23

 


 

Wet Gas GPM

 


 

The PVT test indicates 25% liquid recovery of butane, 50% recovery of pentane.

 

a) What is the liquid recovery of C6+ indicated by the above data?

 

b) What is the recovery of gross gas, residue gas and condensate at 3400 psia?

 

c) If the residual hydrocarbon (gas + condensate) saturation is 20%, what is the recovery of

 

residue gas, assuming complete water influx occurred when the pressure was 3400 psia and

 

the reservoir pressure stabilized at 3400 psia.

 


 

 


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