Mathematical modeling of thermodynamic effects in well bore zone of gas formation under hydraulic fracturing conditions
Keywords:
Joule–Thompson effect, non-linear filtration, numerical methods, quasiconformal mapping, reservoir hydraulic fracturing, shale sedimentary rockAbstract
With the use of ideas of quasiconformal mapping and procedure of gradual recording of medium and process characteristic the methodology of mathematical modeling of filtration and mass-exchanging processes in well bore zone, upon conditions of occurrence of gas formation hydraulic fractures has been suggested. The influence of thermodynamic effects, caused by gas throttling through microfractures has been taken into consideration, when filtration process is described by specially modified Darcy’s law with critical pressure gradient. Numerical algorithm to solve correspondent boundary tasks, build flow pattern, temperature field, filtration properties etc. has been developed.
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References
’Mathematic modelling of thermodynamic effects in a
gas formation well bore zone’, Journal of Hydrocarbon Power
Engineering, vol. 1, (1), pp. 1–4.
[2] Bomba, AYa, Kashtan, SS, Prygornyckyy, DO &
Yaroshchak, SV 2013, Complex analysis method: Monograph,
National University of Water Management and Nature
Resources Use, Rivne. (in Ukrainian).
[3] Bomba, АYa, Yaroschak, SV 2012, ’Complex
approach to modeling of two-phase filtration processes under
control conditions’, Journal of Mathematical Sciences,
vol. 184, no. 1, July, pp. 56–69.
[4] Chekalyuk, EB 1965, Oil formation
thermodynamics, Nedra, Moscow. (in Russian).
[5] Basniev, KS, Kochyna, NI & Maksimov, MV 1993,
Subsurface hydromechanics, Nedra, Moscow. (in Russian).
gas formation well bore zone’, Journal of Hydrocarbon Power
Engineering, vol. 1, (1), pp. 1–4.
[2] Bomba, AYa, Kashtan, SS, Prygornyckyy, DO &
Yaroshchak, SV 2013, Complex analysis method: Monograph,
National University of Water Management and Nature
Resources Use, Rivne. (in Ukrainian).
[3] Bomba, АYa, Yaroschak, SV 2012, ’Complex
approach to modeling of two-phase filtration processes under
control conditions’, Journal of Mathematical Sciences,
vol. 184, no. 1, July, pp. 56–69.
[4] Chekalyuk, EB 1965, Oil formation
thermodynamics, Nedra, Moscow. (in Russian).
[5] Basniev, KS, Kochyna, NI & Maksimov, MV 1993,
Subsurface hydromechanics, Nedra, Moscow. (in Russian).
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Published
2015-12-18
How to Cite
Bomba, A. Y., Myslyuk, M. A., & Yaroshchak, S. V. (2015). Mathematical modeling of thermodynamic effects in well bore zone of gas formation under hydraulic fracturing conditions. JOURNAL OF HYDROCARBON POWER ENGINEERING, 2(1), 1–5. Retrieved from https://ogpe.nung.edu.ua/index.php/jhpe/article/view/27
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OIL AND GAS EXPLORATION AND PRODUCTION
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