Matlab
PNGE 420 PRODUCTION ENGINEERING Project Grading Sheet NAME: Jonathan Camargo DATE: Fall 2015 PROJECT: Pressure loss Calculation CRITERIA GRADE Design, analyze, interpret data. (ABET Criteria 3.b) out of 12 Design a system or component. (ABET Criteria 3.c) out of 20 Identify, formulate, and solve engineering problem. (ABET Criteria 3.e) out of 20 Professional and ethical responsibility. (ABET Criteria 3.f) out of 4 Communicate effectively. (ABET Criteria 3.g) out of 20 Impact of engineering solutions in global and societal context. (ABET Criteria 3.h) out of 4 Engagement in life-long learning. (ABET Criteria 3.i) out of 4 Knowledge of contemporary issues. (ABET Criteria 3.j) out of 4 Use of modern engineering tools necessary for engineering practice. (ABET Criteria 3.k) out of 12 TOTAL out of 100
Contents Abstract: 4 Problem Statement: 5 Approach: 6 Results project: 11 Results appendix E.3 Beggs and Brill method: 12 Conclusion: 13 References: 14
Abstract:
Dr. Bilgesu, the pressure loss calculations were based on the Beggs and Brill method applied to the API 43-013-30229 well located in Utah with a depth of 12,300 feet -from project 1. The pressure drop through 12,300 feet of 2.5 inch production tubing was estimated to be 3900 psia, however, it should be noted the effect of water production was not included in the calculations only the oil and gas phases were. In addition the pressure loss was considered across the whole length of pipe in on step and for better approximation the total length should be divided into smaller section and all the pressure drop should be added.
Reservoir pressure = 4700 psia
Pressure loss = 3900 psia
Flowing pressure = 704.66 psia
Problem Statement:
A computer program is to be developed to calculate the pressure losses in vertical, horizontal, and deviated wells and horizontal and inclined pipelines under multiphase flow conditions using method given by Beggs and Brill.
Approach:
1. Estimate a pressure drop.
2. Estimate and average pressure in interval of interest.
3. From PVT analysis or appropriate correlation calculate Rs, Bo, Bw,σo, σw, and the z-factor.
4. Calculate the specific gravity of oil.
5. Calculate the liquid and gas densities at the average conditions of pressure and temperature.
6. Calculate the in situ and liquid flow rates.
7. calculate the in situ superficial gas, liquid and mixture hold up.
8. Calculate the, liquid, gas, and total mass flux rates.
9. Calculate the input liquid content (no slip hold up).
10. Calculate the Froude number, liquid viscosity, mixture viscosity, and surface tension.
11. Calculate no slip Reynolds number and the liquid velocity number.
12. Calculate correlating parameters if flow were horizontal.
13. Determine the flow pattern.
14. Calculate horizontal hold up.
Where,
15. Calculate inclination correction factor
Where,
16. Calculate inclination liquid hold up correction factor.
17. Calculate liquid hold up and two phase friction factor.
18. Calculate the friction ratio.
Where,
And,
19. Calculate no slip friction factor.
20. Calculate the two phase friction factor.
21. Calculate the pressure change.
Results project:
Results appendix E.3 Beggs and Brill method:
Conclusion:
The production tubing of length 12,300 feet with a diameter 2.5 inch will cause a 3900 psi pressure drop under multiphase flop and a reservoir pressure of 4700 psia resulting in a flowing tubing pressure 704 psia. One can optimize the pressure differential by choosing different pipe diameter and artificial lift systems also optimizing economics should be taken into consideration. The program should be made more accurate by including the effects of water flow, and calculating the pressure drop in smaller section not the whole pipe length in one step.
References:
1. Dr. Bilgesu lecture notes
2. Appendix E.3: Beggs and Brill Method
3. Beggs, H. Dale. Production Optimization: Using NODAL Analysis. Tulsa, OK: OGCI Publications, 1991. Print.
4. Guo, Boyun, William C. Lyons, and Ali Ghalambor. Petroleum Production Engineering: A Computer-assisted Approach. Burlington, MA: Gulf Professional Pub., 2007. Print.