Computational method for flow parameters of gas-condensate mixture in gas-gathering system of random topology

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy


Release:

2015, Vol. 1. №3(3)

Title: 
Computational method for flow parameters of gas-condensate mixture in gas-gathering system of random topology


About the authors:

Alexey V. Tatosov, Dr. Sci. (Phys.-Math.), Professor, Department of Fundamental Mathematics and Mechanics, University of Tyumen; atatosov@utmn.ru

Vladimir E. Vershinin, Senior Lecturer, Department of Physical Processes and Systems Modeling, University of Tyumen; eLibrary AuthorID, Scopus AuthorID, v.e.vershinin@utmn.ru

Abstract:

The computation scheme of pressure and temperature for two-phase stationary flows in elements of surface gas-gathering system with random topological structure is introduced as applied to gas-condensate fields. The system of nonlinear algebraic equations and typical boundary conditions determining the flow parameters during production is formulated. The algorithm for the formation of the system of algebraic equations describing a flow in pipes taking into account the boundary conditions and system topology is presented. The structure of gas-gathering system is recommended to be calculated by means of the incidence matrix. The formation of the system of equations is built from a set of the auxiliary matrices considering the number of edges tied with nodes and the direction of a flow in them. The results of the formation of the closed equation system are given by the example of “fork” gas-gathering system with the elementary building block. The scheme of iterative procedure for the solution of nonlinear equations is written.

References:

1.             Brusilovskij A. I. Fazovye prevrashhenija pri razrabotke mestorozhdenij nefti i gaza [Phase Transformations during Development of Oil and Gas Fields]. M.: Graal, 2002. 575 p. (In Russian)

2.             Gritsenko A. I., Gritsenko A. I., Klapchuk O. B., Harchenko Yu. A. Gidrodinamika gazozhidkostnyh smesej v skvazhinah i truboprovodah [Hydrodynamics of Gas-liquid Mixtures in Wells and Pipelines]. М.: Nedra, 1994. 240 p. (In Russian)

3.             Durmish'jan A. G. Gazokondensatnye mestorozhdenija [Gas Condensate Field]. M.: Nedra.1979. 335 p. (In Russian)

4.             Ivanov S. S., Tarasov M. Ju., Zobnin A. A., Zhirjakov V. Ju., Martynov E. L. Podbor optimal'nyh rezhimov raboty ustanovok kompleksnoj podgotovki gaza [Optimization of Gas Treatment Units] // Gazovaja promyshlennost' [Gas Industry]. 2014. No 2 (702). Pp. 100-103. (In Russian)

5.             Instrukcija po kompleksnomu issledovaniju gazovyh i gazokondensatnyh mestorozhdenij [Instruction on Complex Research of Gas and Gas-condensate fields] / G. A. Zotov, Z. S. Aliyeva (Eds). M.: Nedra, 1980. 301 p. (In Russian)

6.             Rjazancev A. Je., Vershinin V. E. Modelirovanie tehnologicheskih rezhimov raboty gazokondensatnyh skvazhin s cel'ju povyshenija kondensatootdachi [Modeling of Technological Regimes of Gas Condensate Wells] // Vestnik CKR Rosnedra [CKR Rosnedra Herald]. 2015. No 2. Pp. 20-27. (In Russian)

7.             Samarskij A. A., Popov Ju. P. Raznostnye metody reshenija zadach gazovoj dinamiki [Differential Methods of Problem Solving in Gas Dynamics]. M.: Nauka, 1992.
(In Russian)

8.             Ter-Sarkisov R. M. Razrabotka mestorozhdenij prirodnyh gazov [Natural Gas Fields Development]. M.: Nedra, 1999. 659 p. (In Russian)

9.             Tatosov A. V. Nepreryvnoe techenie gaza v razvetvlennom truboprovode [The Continuous Gas Flow in Branching Pipeline] // Matematicheskoe modelirovanie [Mathematical Models and Computer Simulations]. 2005. Vol. 17. No 3. Pp. 83-89. (In Russian)

10.         Tatosov A. V. Shema rascheta nestacionarnyh techenij gaza v pnev-maticheskoj sisteme [Numerical Scheme for Calculation of Non-stationary Gas Flows in a Pneumatic System] // Vychislitel'nye tehnologii [Computational Technologies]. 2004. Vol. 9. No 4. Pp. 96-105. (In Russian)

11.         Charnyj I. A. Neustanovivsheesja dvizhenie real'noj zhidkosti v trubah [Unsteady Motion of a Real Fluid in Pipes]. M.: Nauka, 1975. (In Russian)