Seven calculation methods are selected for testing: Beggs&Brill, Duns&Ros, Aziz, Ansari, Gray, OLGA and OIS. In addition, calculations were carried out for the «homogeneous model», which does not take into account the difference in the velocities of liquid and gas and the additional turbulence of the flow resulting therefrom, and therefore gives the lowest possible values of pressure loss. The quality of the methods was evaluated on the basis of two criteria: the completeness of tracking the parameters affecting the result and the absence of breaks in the calculated hydrodynamic functions at the boundaries of the flow modes, as well as during the transition between two-phase and single-phase flows. In the absence of a liquid phase, the methodology should yield results for the gas flow, at the boundary of the annular and slug structures it should approach the results of calculations for the slug structure, and at the lower boundary of the mist area shall approach the results of the calculations the «homogeneous model».
The comparison was based on flows with parameters close to those of gas condensate wells and pipelines of product gathering systems. The physical properties of the products (density, viscosity of liquid and gas, surface tension) were calculated for one of the exploitation targets of the deposit located in Western Siberia.
There are large differences in the calculation results for the different methodologies.
The conducted analysis makes it possible to recommend the methods of Ansari, Gray and OIS for hydraulic calculation of the movement of gas-liquid mixtures at high speeds and low concentrations of liquid corresponding to the flow annular structure.
The Gray method is only recommended for wells because it produces questionable results for large pipe diameters.
The most promising method for the hydraulic calculations of both wells and receiving systems is the OIS method, as it takes into account the maximum number of parameters, is physically justified and works on limits. It is possible to adapt this methodology to actual data by adjusting the empirical coefficients that it contains.
References
1. URL: http://itps.com/uploads/files/Petex%20IPM%20Brochure%20RUS.pdf
2. URL: https://sis.slb.ru/products/
3. URL: https://rfdyn.ru/ru/tnavigator/
4. URL: https://oissolutions.net/wp-content/uploads/2020/03/OIS_Pipe_onepager_A3_eng_fin.pdf
5. Moniem M., El-Banbi A.H., Proper selection of multiphase flow correlations, SPE-175805-MS, 2015, DOI: https://doi.org/10.2118/175805-MS
6. Brill J.P., Mukherjee H., Multiphase flow in wells, SPE Monograph, Henry L. Dogherty Series, V.17, 1999.
7. Mamaev V.A., Odishariya G.E., Klapchuk O.V. et al., Dvizhenie gazozhidkostnykh smesey v trubakh: monografiya (Movement of gas-liquid mixtures in pipes: monograph), Moscow: Nedra Publ., 1977, 276 p.
8. Gritsenko A.I., Klapchuk O.V., Kharchenko Yu.A., Gidrodinamika gazozhidkostnykh smesey v skva-zhinakh i truboprovodakh: monografiya (Hydrodynamics of gas-liquid mixtures in wells and pipelines), Moscow: Nedra Publ., 1994, 238 p.
9. Elin N.N., Nassonov Yu.V., Ashkarin N.I. et al., Razrabotka i ekspluatatsiya matematicheskikh modeley sistem obustroystva neftyanykh mestorozhdeniy (Development and exploitation of mathematical mod-els of oil fields development systems), Ivanovo, Publ. of IGKhTU, 2006, 272 p.
10. Wallis Г.Б., One-dimensional two-phase flow, McGraw-Hill, 1969, 408 p.
11. Oyewole A., Extension of the Gray correlation to inclination angles, Proceedings of SPE Annual Tech-nical Conference and Exhibition held in Houston, The University of Tulsa, September 2015, SPE-178727-STU, DOI: http://dx.doi.org/10.2118/178727-STU
12. Bendlksen K.H., Maine D., Moe R., Nuland S., The dynamic two-fluid model OLGA: Theory and appli-cation, SPE 19451-PA, 1991, DOI: https://doi.org/10.2118/19451-PA
