«Automation and Informatization of the fuel and energy complex»

Problems of a multi-scale reservoir model identification and an integrative approach to its solution

UDC: 004.021:519.853
DOI: -

Authors:

¹ National University of Oil and Gas "Gubkin University", Moscow, Russia

Keywords: history matching, parameter identification, inverse problem, optimization, multi-scale inflow model, filtration modeling

Annotation:

The authors of the article describe a complex method that is applied for a multi-scale reservoir model parameter identification, which makes it possible the history matching of both stably operating wells and wells with unstable behavior of technological indicators, characterized by the presence of operating modes changes, periodic shutdowns or geological-technical measures. Adaptation is carried out by a two-stage model adjustment for each scale. In order to adapt the model to the far-field scale, the BFGS – local optimization algorithm is used. For wells of the first type, the model is adjusted on the scale of the near-well zone taking into account the best coincidence of calculated and actual parameters in the last period of history in order to ensure a reliable transition to the forecast. For wells of the second type, an algorithm for multi-step history matching has been developed, based on the ideas of the dynamic programming method. Both approaches use a heuristic very-fast simulated annealing algorithm followed by refinement of the found solution using the BFGS local optimization method. The methodology was tested on real data from one of the fields. The reliability and quality of the results obtained confirm the efficiency of the method and its practical suitability.

Bibliography:

1. Mirzadzhanzade A.Kh., Khasanov M.M., Bakhtizin R.N. Modelirovanie protsessov neftegazodobychi. Nelineynost', neravnovesnost', neopredelennost'. – M.-Izhevsk: In-t komp'yuter. isssled., 2004. – 368 s.
2. Zakirov E.S., Anikeev D.P., Indrupskiy I.M. Primenenie dvukh klassov obratnykh zadach dlya optimal'nogo upravleniya razrabotkoy mestorozhdeniya prirodnykh uglevodorodov // Aktual'nye problemy nefti i gaza. – 2023. – № 3(42). – S. 130–150. – DOI: 10.29222/ipng.2078-5712.2023-42.art9
3. Komp'yuternaya tekhnologiya upravleniya dobychey nefti iz neftegazovoy zalezhi s podstilayushchey vodoy v treshchinovatom plaste / R.D. Kanevskaya, P.V. Kuznetsov, A.A. Pimenov [i dr.] // Neft. khoz-vo. – 2023. – № 10. – S. 56–60. – DOI: 10.24887/0028-2448-2023-10-56-60
4. Ryzhova L.L., Kanevskaya R.D. Podkhody k identifikatsii parametrov raznomasshtabnoy modeli pritoka k skvazhinam v neftegazovom plaste s podoshvennoy vodoy // Vestn. Bashkir. un-ta. – 2022. – T. 27, № 3. – S. 553–558. – DOI: 10.33184/bulletin-bsu-2022.3.11
5. Gill F., Myurrey U., Rayt M. Prakticheskaya optimizatsiya: per. s angl. V.Yu. Lebedeva pod red. A. Petrova. – M.: Mir, 1985. – 509 s.
6. Lopatin A.S. Metod otzhiga // Stokhasticheskaya optimizatsiya v informatike. – 2005. – T. 1. – S. 133–149.
7. Obratnye zadachi po identifikatsii parametrov plasta (zadachi history matching) / E.S. Zakirov, S.N. Zakirov, I.M. Indrupskiy, D.P. Anikeev // Aktual'nye problemy nefti i gaza. – 2018. – № 2(21). – S. 27. – DOI: 10.29222/ipng.2078-5712.2018-21.art27
8. Oliver D.S., Reynolds A.C., Liu Ning. Inverse Theory for Petroleum Reservoir Characterization and History Matching. – Cambridge: Cambridge University Press, 2008. – 394 p. – DOI: 10.1017/CBO9780511535642
9. Upravlenie razrabotkoy neftyanykh mestorozhdeniy / Ya.M. Bershchanskiy, V.N. Kulibanov, M.V. Meerov, O.Yu. Pershin; pod red. M.V. Meerova. – M.: Nedra, 1983. – 309 s.
10. Yang P.-H., Watson A.T. Automatic History Matching with Variable-Metric Methods // SPE Reservoir Engineering. – 1988. – Vol. 3, Issue 03. – P. 995–1001. – DOI: 10.2118/16977-PA
11. Vadicharla G., Sharma P. Optimization Techniques for History Matching and Production Forecasting // Int. J. of Recent Technology and Engineering (IJRTE). – 2019. – Vol. 8, Issue 4. – P. 106–116. – DOI: 10.35940/ijrte.C6287.118419
12. Ne-Zheng Sun. Inverse Problems in groundwater modeling. – Springer Science + Business Media Dordrecht, 1999. – XIV, 338 p. – (Theory and Applications of Transport in Porous Media (TATP, vol. 6)). – DOI: 10.1007/978-94-017-1970-4
13. Lyubimova O.V., Zakirov E.S. Obratnye zadachi podzemnoy gidrodinamiki s utochneniem prostranstvennogo raspredeleniya fatsiy // Avtomatizatsiya i informatizatsiya TEK. – 2024. – № 2(607). – S. 48–55.
14. Tikhonov A.N., Arsenin V.Ya. Metody resheniya nekorrektnykh zadach. – 2-e izd. – M.: Nauka, 1979. – 285 s.
15. Kanevskaya R.D. Matematicheskoe modelirovanie gidrodinamicheskikh protsessov razrabotki mestorozhdeniy uglevodorodov. – M.-Izhevsk: In-t komp'yuter. issled., 2002. – 140 s.
16. Podzemnaya gidromekhanika: ucheb. dlya vuzov / K.S. Basniev, N.M. Dmitriev, R.D. Kanevskaya, V.M. Maksimov. – M.-Izhevsk: In-t komp'yuter. issled., 2005. – 496 s.
17. Bellman R., Dreyfus S. Prikladnye zadachi dinamicheskogo programmirovaniya / per. s angl. N.M. Mitrofanovoy [i dr.]; pod red. A.A. Pervozvanskogo. – M.: Nauka, 1965. – 458 s.
18. Kalikhman I.L., Voytenko M.A. Dinamicheskoe programmirovanie v primerakh i zadachakh: ucheb. posobie. – M.: Vysshaya shk., 1979. – 125 s.