Mathematical modeling of emergency emissions at gas wells blowing — an important forecasting phase of accidents consequences and calculation of quantitative risk indices at hazardous production facilities of oil and gas production. For settled blowing the calculation of parameters of medium movement along the well bore and emergency well flow rate shall be carried out by the solution of equation system including the equation of preservation of a number of movement in a differential form, the equation of continuity and the equation of a state. Analytical solutions of the above-stated system of the equations for cases of stationary flowing of gaseous, two-phase and liquid medium along the well section are obtained.
Presented dependences can be also applied for calculation of the parameters of stationary flowing along the pipelines.
Comparison was carried out of different tasks solutions with the use of ratios proposed in this work, and the direct numerical solution of the original system of equations. Comparison has shown satisfactory coherence of the obtained results.
The analytical dependencies presented in the Article allow to significantly simplify the solution of above-mentioned tasks. For carrying out calculations the authors of the Article have developed the computer program, which is currently included in the software TOXI+Risk 5 for an assessment of accidents consequences and calculation of quantitative indices of risk at hazardous production facilities.
S.V. Prokudin, Lead Specialist A.S. Sofyin, Candidate of Technical Sciences, Department Head, toxi@safety.ru A.A. Agapov, Candidate of Technical Sciences, Director of the Computational Analysis Center STC «Industrial Safety» CJSC, Moscow, Russia
Mathematical modeling of emergency emissions at gas wells blowing — an important forecasting phase of accidents consequences and calculation of quantitative risk indices at hazardous production facilities of oil and gas production. For settled blowing the calculation of parameters of medium movement along the well bore and emergency well flow rate shall be carried out by the solution of equation system including the equation of preservation of a number of movement in a differential form, the equation of continuity and the equation of a state. Analytical solutions of the above-stated system of the equations for cases of stationary flowing of gaseous, two-phase and liquid medium along the well section are obtained.
Presented dependences can be also applied for calculation of the parameters of stationary flowing along the pipelines.
Comparison was carried out of different tasks solutions with the use of ratios proposed in this work, and the direct numerical solution of the original system of equations. Comparison has shown satisfactory coherence of the obtained results.
The analytical dependencies presented in the Article allow to significantly simplify the solution of above-mentioned tasks. For carrying out calculations the authors of the Article have developed the computer program, which is currently included in the software TOXI+Risk 5 for an assessment of accidents consequences and calculation of quantitative indices of risk at hazardous production facilities.
1. Metodika analiza riska avarij na opasnyh proizvodstvennyh obektah neftegazodobychi: ruk. po bezopasnosti: prikaz Rostehnadzora ot 17 avg. 2015 g. № 317 (Methods of Accidents Risk Analysis at Hazardous Production Facilities of Oil and Gas Production: Safety Guide: Decree of Rostechnadzor of August 17, 2015 № 317). Ser. 08. Iss. 28. Moscow: ZAO NTC PB, 2015. 48 p.
2. STO Gazprom 2-2.3-400—2009. Metodika analiza riska dlja opasnyh proizvodstvennyh obektov gazodobyvajushhih predprijatij OAO «Gazprom» (STO Gazprom 2-2.3-400—2009. Methods of Risk Analysis for Hazardous Production Facilities of Gas Producing Enterprises of OAO Gazprom). Moscow: OOO «Gazprom jekspo», 2008.
3. Lure M.V. Matematicheskoe modelirovanie processov truboprovodnogo transporta nefti, nefteproduktov i gaza: ucheb. posobie (Mathematical Modeling of Processes of Oil, Oil Products and Gas Pipeline Transport: Textbook). Moscow: Centr RGU nefti i gaza (NIU) imeni I.M. Gubkina, 2012. 456 p.
4. Melnikov A.V. Analiz jekspluatacii obektov dobychi i podgotovki gaza na mestorozhdenijah krajnego severa (na primere Bovanenkovskogo NGKM): dis. … kand. tehn. nauk (Analysis of Operation of Gas Production and Treatment Facilities at the Far North Gas Fields (on the Example of Bovanenkovsky Oil/Gas-Condensate Field): Thesis … Candidate of Technical Sciences). Moscow, 2009. 166 p.
5. Samarskij A.A., Gulin A.V. Chislennye metody: ucheb. posobie dlja VUZov (Numerical Methods: Testbook for Higher Education Institutions). Moscow: Nauka, 1989. 432 p.
6. Sumskoi S.I., Sverchkov A.M., Lisanov M.V., Egorov A.F. Modelling of non-equilibrium flow in the branched pipeline systems. Journal of Physics: Conference Series 751. 2016. DOI:10.1088/1742-6596/751/1/012022.
7. Metodicheskie rekomendacii po provedeniju kolichestvennogo analiza riska avarij na opasnyh proizvodstvennyh obektah magistralnyh nefteprovodov i nefteproduktoprovodov: ruk. po bezopasnosti: prikaz Rostehnadzora ot 17 ijunja 2016 g. № 228 (Methodical Recommendations on Conducting Quantitative Risk Analysis of Accidents at Hazardous Production Facilities of the Trunk Oil Pipelines and Oil Products Pipelines: Safety Guide, Decree of Rostechnadzor of June 17, 2016 № 228). Ser. 08. Iss. 24. Moscow: ZAO NTC PB, 2016. 122 p.
8. Malevanskij V.D., Sheberstov E.V. Gidrodinamicheskie raschety rezhimov glushenija fontanov v neftjanyh i gazovyh skvazhinah (Hydrodynamic Calculations of the Modes of Blowout Killing in Oil and Gas Wells). Moscow: Nedra, 1990. 246 p.
9. Sumskoj S.I., Agapov A.A., Sofin A.S., Sverchkov A.M., Egorov A.F. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2014. № 9. pp. 50–53.
10. Sumskoj S.I., Lisanov M.V., Agapov A.A., Sofin A.S., Sverchkov A.M., Egorov A.F. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2015. № 10. pp. 60–66.
11. TOXI+Risk 5 dlja rascheta posledstvij avarij s vybrosom opasnyh veshhestv i ocenki riska (TOXI+Risk 5 for Calculation of Accidents Consequences with Hazardous Substances Release and Risk Assessment). Available at: https://toxi.ru/produkty/programmnyi-kompleks-toxirisk-5 (accessed: March 29, 2017).