Articles
Numerical model for the analysis and design of piping networks for two-phase flow
Published 2018-06-12
Keywords
- Biphasic flow,
- pipe networks,
- solution algorithm
How to Cite
Valle-Tamayo, G., Valbuena-Luna, L., Rojas-Beltrán, C., & Cabarcas-Simancas, M. (2018). Numerical model for the analysis and design of piping networks for two-phase flow. Revista UIS Ingenierías, 17(2), 201–214. https://doi.org/10.18273/revuin.v17n2-2018018
Abstract
A new algorithm for analyzing biphasic flow in collection networks is presented. This algorithm is based on the current resolution of the hydraulic variables, being a modification to the principle proposed by Tian and Adewum, who considered the liquid phase as a unit of water alone, unlike the present study which also considers oil. For its implementation, there is no need to generate complex matrix arrays, since it adopts Kirchhoff's philosophy of rules. Also, some flow correlations have been modified to fit the proposed algorithm. The algorithm is tested with the Beggs and Brill correlation in an illustrative case.
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References
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S. Tian y M. Adewumi, A New Algorithm for Analyzing and Designing Two-Phase Flow Pipeline Networks, Pennsylvania: Society of Petroleum Engineers, SPE 28177, 1994.
U. Shamir y C. Howard, «WATER DISTRIBUTION SYSTEMS ANALYSIS,» Journal of the Hydraulics Division , pp. 219-234, 1968.
B. Eaton, D. Andrews, C. Knowles y K. Brwon, The Prediction of Flow Patterns, Liquid Holdup and Pressure Losses Occurring During Continuous Two-Phase Flow in Horizontal Pipelines., J. Pet. Technol, 19 (6), 815−828 (SPE Paper 1525)., 1967.
A. Dukler, Gas Liquid Flow in Pipelines: I. Research Results, AGA-API Project NX-28, 1969.
H. Beggs y J. Brill, A Study of Two-Phase Flow in Inclined Pipes, J. Pet. Technol., Trans., AIME, 25 (5), 607−617., 1973.
T. Walski, Pipe Network Modeling, VIdeo Learning System For CYBERNET Software, Haestad Methods: Waterbury, 1994.
J. Martinez y L. Puigjaner, A powerful improvement on the methodology for solving large-scale pipeline networks., Comput. Chem. Eng. 12 (2–3), 261–265., 1988.
H. Cross, Analysis of Flow in Networks of Conduits or Conductors., Universityof Illinois Engineering Experiment Station, 1936.
B. Gay y P. Middleton, The solution of pipe network problems, Chem. Eng. Sci, 26, 109–123., 1970.
R. Sargent, The Decomposition of Systems of Procedures and Algebraic Equations in Numerical Analysis, Watson, G.A. (Ed.). Springer-Verlag, Berlin., 1978.
M. Shacham, Decomposition of systems of nonlinear algebraic equations, AIChE J. 30 (1), 92–99., 1984.
J. Krope, P. Trop y D. Goricanec, Flow pressure analysis of loop gas network, international journal of systems applications., Eng. Dev. 5 (4)., 2011.
T. Altman y P. Boulos, Convergence of Newton method in nonlinear network analysis, Math. Comput. Model. 21 (4), 35–41., 1995.
D. Brick, Iterative methods for looped network pipeline calculation. WaterResour, Manage. 25, 2915–2987., 2011.
P. Bhave, Analysis of Flow in Water Distribution Networks, Technomic Publishing: Lancaster, PA, 1991.
L. A. Pipes, Applied Mathematics for Engineers and Physicists, New York: McGraw-Hill, 1958.
F. Poettmann y P. Carpenter, Multiphase Flow of Gas, Oil and Water Through Vertical Flow Strings., Drill. Prod. Pract., pp 257., 1952.
O. Flanigan, Effect of Uphill Flow on Pressure Drop in Design of Two-Phase Gathering Systems., Oil Gas J., 1958.
C. Hoogendorn, Gas-Liquid Flow in Horizontal Pipes, Chem. ENg. Sci., 9, 1959.
H. Duns y N. Ros, Vertical Flow of Gas and Liquid Mixtures in Wells., In Proceedings of the Sixth World Petroleum Congress, Frankfurt, Germany; pp 451−465 (Section II, Paper 212.PD6)., 1963.
A. Hagedorn y K. Brown, Experimental Study of Pressure Gradients Occurring During Continuous Two-Phase Flow in Small-Diameter Vertical Conduits., J. Pet. Technol, 17 (4), 475−484., 1965.
J. Orkiszewski, Predicting Two-Phase Pressure Drops in Vertical Pipes., J. Pet. Technol., Trans. AIME, 19 (6), 829−838 (SPE Paper 1546-PA)., 1967.
J. Mandhane, G. Gregory y K. Aziz, Critical Evaluation of Holdup Prediction Methods for Gas-Liquid Flow in Horinzontal Pipes, Society of Petroleum Engineers, SPE 5140, 1974.
O. Gonzales-Estrada, J. Leal-Enciso y J. Reyes-Herrera, “Análisis de integridad estructural de tuberías de material compuesto para el transporte de hidrocarburos por elementos finitos,” Rev. UIS Ing., vol. 15, no. 2, pp. 105-116, 2016. Doi: https://doi.org/10.18273/revuin.v15n2-2016009
L. Mucharam y M. Adewumi, A Compositional Two-Phase Flow Model for Analyzing and Designing Complex Pipeline Network Systems, Society of Petroleum Engineers, SPE 21562, 1990, p. 17.
S. Tian y M. Adewumi, A New Algorithm for Analyzing and Designing Two-Phase Flow Pipeline Networks, Pennsylvania: Society of Petroleum Engineers, SPE 28177, 1994.
U. Shamir y C. Howard, «WATER DISTRIBUTION SYSTEMS ANALYSIS,» Journal of the Hydraulics Division , pp. 219-234, 1968.
B. Eaton, D. Andrews, C. Knowles y K. Brwon, The Prediction of Flow Patterns, Liquid Holdup and Pressure Losses Occurring During Continuous Two-Phase Flow in Horizontal Pipelines., J. Pet. Technol, 19 (6), 815−828 (SPE Paper 1525)., 1967.
A. Dukler, Gas Liquid Flow in Pipelines: I. Research Results, AGA-API Project NX-28, 1969.
H. Beggs y J. Brill, A Study of Two-Phase Flow in Inclined Pipes, J. Pet. Technol., Trans., AIME, 25 (5), 607−617., 1973.
T. Walski, Pipe Network Modeling, VIdeo Learning System For CYBERNET Software, Haestad Methods: Waterbury, 1994.
J. Martinez y L. Puigjaner, A powerful improvement on the methodology for solving large-scale pipeline networks., Comput. Chem. Eng. 12 (2–3), 261–265., 1988.
H. Cross, Analysis of Flow in Networks of Conduits or Conductors., Universityof Illinois Engineering Experiment Station, 1936.
B. Gay y P. Middleton, The solution of pipe network problems, Chem. Eng. Sci, 26, 109–123., 1970.
R. Sargent, The Decomposition of Systems of Procedures and Algebraic Equations in Numerical Analysis, Watson, G.A. (Ed.). Springer-Verlag, Berlin., 1978.
M. Shacham, Decomposition of systems of nonlinear algebraic equations, AIChE J. 30 (1), 92–99., 1984.
J. Krope, P. Trop y D. Goricanec, Flow pressure analysis of loop gas network, international journal of systems applications., Eng. Dev. 5 (4)., 2011.
T. Altman y P. Boulos, Convergence of Newton method in nonlinear network analysis, Math. Comput. Model. 21 (4), 35–41., 1995.
D. Brick, Iterative methods for looped network pipeline calculation. WaterResour, Manage. 25, 2915–2987., 2011.
P. Bhave, Analysis of Flow in Water Distribution Networks, Technomic Publishing: Lancaster, PA, 1991.
L. A. Pipes, Applied Mathematics for Engineers and Physicists, New York: McGraw-Hill, 1958.
F. Poettmann y P. Carpenter, Multiphase Flow of Gas, Oil and Water Through Vertical Flow Strings., Drill. Prod. Pract., pp 257., 1952.
O. Flanigan, Effect of Uphill Flow on Pressure Drop in Design of Two-Phase Gathering Systems., Oil Gas J., 1958.
C. Hoogendorn, Gas-Liquid Flow in Horizontal Pipes, Chem. ENg. Sci., 9, 1959.
H. Duns y N. Ros, Vertical Flow of Gas and Liquid Mixtures in Wells., In Proceedings of the Sixth World Petroleum Congress, Frankfurt, Germany; pp 451−465 (Section II, Paper 212.PD6)., 1963.
A. Hagedorn y K. Brown, Experimental Study of Pressure Gradients Occurring During Continuous Two-Phase Flow in Small-Diameter Vertical Conduits., J. Pet. Technol, 17 (4), 475−484., 1965.
J. Orkiszewski, Predicting Two-Phase Pressure Drops in Vertical Pipes., J. Pet. Technol., Trans. AIME, 19 (6), 829−838 (SPE Paper 1546-PA)., 1967.
J. Mandhane, G. Gregory y K. Aziz, Critical Evaluation of Holdup Prediction Methods for Gas-Liquid Flow in Horinzontal Pipes, Society of Petroleum Engineers, SPE 5140, 1974.
O. Gonzales-Estrada, J. Leal-Enciso y J. Reyes-Herrera, “Análisis de integridad estructural de tuberías de material compuesto para el transporte de hidrocarburos por elementos finitos,” Rev. UIS Ing., vol. 15, no. 2, pp. 105-116, 2016. Doi: https://doi.org/10.18273/revuin.v15n2-2016009