Numerical Analysis on Rapid Decompression in Conventional Dry Gases using One- Dimensional Mathematical Modeling
The paper presents a one-dimensional transient
mathematical model of compressible thermal multi-component gas
mixture flows in pipes. The set of the mass, momentum and enthalpy
conservation equations for gas phase is solved. Thermo-physical
properties of multi-component gas mixture are calculated by solving
the Equation of State (EOS) model. The Soave-Redlich-Kwong
(SRK-EOS) model is chosen. Gas mixture viscosity is calculated on
the basis of the Lee-Gonzales-Eakin (LGE) correlation. Numerical
analysis on rapid decompression in conventional dry gases is
performed by using the proposed mathematical model. The model is
validated on measured values of the decompression wave speed in
dry natural gas mixtures. All predictions show excellent agreement
with the experimental data at high and low pressure. The presented
model predicts the decompression in dry natural gas mixtures much
better than GASDECOM and OLGA codes, which are the most
frequently-used codes in oil and gas pipeline transport service.
[1] R.J. Eiber, T.A. Bubenik, W.A. Maxey, "GADECOM, Computer code
for the calculation of gas decompression speed. Fracture control for
natural gas pipelines," PRCI Report, N L51691, 1993.
[2] R.J. Eiber, L. Carlson, B. Leis, "Fracture control requirements for gas
transmission pipelines," Proceedings of the Fourth International
Conference on Pipeline Technology, p. 437, 2004.
[3] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Measurement of
decompression wave speed in rich gas mixtures using a decompression
tube," American Gas Association Proceedings -(AGA-2003), 2003.
[4] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Determination of
decompression wave speed in rich gas mixtures," The Canadian Journal
of Chemical Engineering, vol. 82, pp. 880-891, 2004.
[5] K.K. Botros, J. Geerligs, J. Zhou, A. Glover, "Measurements of flow
parameters and decompression wave speed follow rapture of rich gas
pipelines, and comparison with GASDECOM," International Journal of
Pressure Vessels and Piping, vol. 84, pp. 358-367, 2007.
[6] K.K. Botros, J. Geerligs, R.J. Eiber, "Measurement of decompression
wave speed in rich gas mixtures at high pressures (370 bars) using a
specialized rupture tube," Journal of Pressure Vessel Technology, vol.
132, 051303-15, 2010.
[7] K.K. Botros, J. Geerligs, B. Rothwell, L. Carlson, L. Fletcher, P.
Venton, "Transferability of decompression wave speed measured by a
small-diameter shock tube to full size pipelines and implications for
determining required fracture propagation resistance," International
Journal of Pressure Vessels and Piping, vol. 87, pp. 681-695, 2010.
[8] K.H. Bendiksen, D. Maines, R. Moe, S. Nuland, "The dynamic two-fluid
model OLGA: theory and application," SPE Production Engineering,
vol 6, N 2, pp.171-180, 1991.
[9] G.B. Wallis, "One-dimensional two-phase flows," McGraw Hill, New
York, 1969.
[10] P.R.H. Blasius, "Das Aehnlichkeitsgesetz bei Reibungsvorgangen in
Fluessigkeiten," Forschungsheft, vol. 131, pp. 1-41, 1913.
[11] G. Soave, "Equilibrium constants from a modified Redlich-Kwong
equation of state," Chemical Engineering Science, vol. 27, pp. 1197-
1203, 1979.
[12] A.L. Lee, M.N. Gonzales, B.E. Eakin, "The viscosity of natural gases,"
Journal of Petroleum Technology, pp. 997-1000, 2010.
[13] S. Patankar, "Numerical heat transfer and fluid flow," Hemisphere
Publishing, New York, 1980.
[14] E. Burlutskiy, "Mathematical modelling of non-isothermal multicomponent
fluid flow in pipes applying to rapid gas decompression in
rich and base natural gases," Proceedings of the Int. Conference on
Fluid Mechanics, Heat Transfer and Thermodynamics -ICFMHTT-2012
(15-17 Jan 2012), Zurich, Switzerland, 61, pp. 156-161, 2012.
[1] R.J. Eiber, T.A. Bubenik, W.A. Maxey, "GADECOM, Computer code
for the calculation of gas decompression speed. Fracture control for
natural gas pipelines," PRCI Report, N L51691, 1993.
[2] R.J. Eiber, L. Carlson, B. Leis, "Fracture control requirements for gas
transmission pipelines," Proceedings of the Fourth International
Conference on Pipeline Technology, p. 437, 2004.
[3] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Measurement of
decompression wave speed in rich gas mixtures using a decompression
tube," American Gas Association Proceedings -(AGA-2003), 2003.
[4] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Determination of
decompression wave speed in rich gas mixtures," The Canadian Journal
of Chemical Engineering, vol. 82, pp. 880-891, 2004.
[5] K.K. Botros, J. Geerligs, J. Zhou, A. Glover, "Measurements of flow
parameters and decompression wave speed follow rapture of rich gas
pipelines, and comparison with GASDECOM," International Journal of
Pressure Vessels and Piping, vol. 84, pp. 358-367, 2007.
[6] K.K. Botros, J. Geerligs, R.J. Eiber, "Measurement of decompression
wave speed in rich gas mixtures at high pressures (370 bars) using a
specialized rupture tube," Journal of Pressure Vessel Technology, vol.
132, 051303-15, 2010.
[7] K.K. Botros, J. Geerligs, B. Rothwell, L. Carlson, L. Fletcher, P.
Venton, "Transferability of decompression wave speed measured by a
small-diameter shock tube to full size pipelines and implications for
determining required fracture propagation resistance," International
Journal of Pressure Vessels and Piping, vol. 87, pp. 681-695, 2010.
[8] K.H. Bendiksen, D. Maines, R. Moe, S. Nuland, "The dynamic two-fluid
model OLGA: theory and application," SPE Production Engineering,
vol 6, N 2, pp.171-180, 1991.
[9] G.B. Wallis, "One-dimensional two-phase flows," McGraw Hill, New
York, 1969.
[10] P.R.H. Blasius, "Das Aehnlichkeitsgesetz bei Reibungsvorgangen in
Fluessigkeiten," Forschungsheft, vol. 131, pp. 1-41, 1913.
[11] G. Soave, "Equilibrium constants from a modified Redlich-Kwong
equation of state," Chemical Engineering Science, vol. 27, pp. 1197-
1203, 1979.
[12] A.L. Lee, M.N. Gonzales, B.E. Eakin, "The viscosity of natural gases,"
Journal of Petroleum Technology, pp. 997-1000, 2010.
[13] S. Patankar, "Numerical heat transfer and fluid flow," Hemisphere
Publishing, New York, 1980.
[14] E. Burlutskiy, "Mathematical modelling of non-isothermal multicomponent
fluid flow in pipes applying to rapid gas decompression in
rich and base natural gases," Proceedings of the Int. Conference on
Fluid Mechanics, Heat Transfer and Thermodynamics -ICFMHTT-2012
(15-17 Jan 2012), Zurich, Switzerland, 61, pp. 156-161, 2012.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:53130", author = "Evgeniy Burlutskiy", title = "Numerical Analysis on Rapid Decompression in Conventional Dry Gases using One- Dimensional Mathematical Modeling", abstract = "The paper presents a one-dimensional transient
mathematical model of compressible thermal multi-component gas
mixture flows in pipes. The set of the mass, momentum and enthalpy
conservation equations for gas phase is solved. Thermo-physical
properties of multi-component gas mixture are calculated by solving
the Equation of State (EOS) model. The Soave-Redlich-Kwong
(SRK-EOS) model is chosen. Gas mixture viscosity is calculated on
the basis of the Lee-Gonzales-Eakin (LGE) correlation. Numerical
analysis on rapid decompression in conventional dry gases is
performed by using the proposed mathematical model. The model is
validated on measured values of the decompression wave speed in
dry natural gas mixtures. All predictions show excellent agreement
with the experimental data at high and low pressure. The presented
model predicts the decompression in dry natural gas mixtures much
better than GASDECOM and OLGA codes, which are the most
frequently-used codes in oil and gas pipeline transport service.", keywords = "Mathematical model, Rapid Gas Decompression", volume = "6", number = "3", pages = "237-5", }