Release:

2017, Vol. 3. №3Title:

Mathematical Modeling of Oil Well Nonstationary Work Taking into Account the Permeability Nonequilibrium Phase
Authors:
Alexander V. Ivanov, Sergey V. Stepanov

For citation:
Ivanov A. V., Stepanov S. V. 2017. “Mathematical Modeling of Oil Well Nonstationary Work Taking into Account the Permeability Nonequilibrium Phase”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 3, no 3, pp. 70-82. DOI: 10.21684/2411-7978-2017-3-3-70-82

About the authors:

Alexander V. Ivanov, Postgraduate Student, Department of Mechanics of Multiphase Media, University of Tyumen; Chief Specialist, Tyumen Oil Research Center, Rosneft Oil Company; avivanov8@tnnc.rosneft.ruSergey V. Stepanov, Cand. Sci. (Tech.), Professor, Department of Applied and Technical Physics, University of Tyumen; Senior Expert, Tyumen Petroleum Research Center; svstepanov@tnnc.rosneft.ru

Abstract:

As follows from the actual data of operating wells, the dynamics of their technological indicators are very often characterized by an expressed nonmonotonicity. Today the problem of physical and/or technological factors contributing to such nonmonotonic dynamics of well work has not been studied yet, largely due to the complexity of detailed mathematical modeling of wells. Thus, the experience of mathematical modeling of individual wells (even using sectoral models) typically demonstrates the impossibility of commercial hydrodynamic simulations with a sufficient degree of detail to simulate complex nonmonotonic dynamics of technological indicators. In this regard, it is necessary to use specialized software.

Today, there are specialized software to simulate the work of individual wells; however, the complexity of multiphase filtration near wells, which often cannot be explained from the standpoint of traditional physical and mathematical models, necessitates the development of original software. In particular, this concerns the effect of nonlinear effects and nonequilibrium on the relative phase permeability (RPP), while the non-equilibrium factor is much less studied.

This paper observes the results of applying the developed software for numerical analysis of oil well’s operation on the reservoir BV8^{1-3} of Samotlor Field. The computer program is created on the basis of physical and mathematical model describing the filtration of oil and water in the reservoir, including the nonequilibrium RPP model of G. I. Barenblatt.

Barenblatt’s nonequilibrium filtration model involves the use of relaxation time. Since relaxation time values do not have unambiguous evaluation, this work presents a sensitivity analysis with different relaxation times. The results show that the examined system reservoir-fluid relaxation time is approximately 100 days.

This work shows the research results of well water cut dynamics depending on its operation mode and the reservoir characteristics. In all cases the nonequilibrium RPP leads to expressed pulsations of water cut.

Keywords:

References:

- Aziz K., Settari A. 1982. Matematicheskoe modelirovanie plastovykh system [Petroleum Reservoir Simulation]. Translated from English. Moscow: Nedra.
- Barenblatt G. I., Entov V. M., Ryzhik V. M. 1984. Dvizhenie zhidkostey i gazov v prirodnykh plastakh [The Movement of Liquids and Gases in Reservoir]. Moscow: Nedra.
- Basniev K. S., Kochina I. N., Maksimov V. M. 1993. Podzemnaya gidromekhanika [Underground hydromechanics]. Moscow: Nedra.
- Zakirov E. S. 2001 Trekhmernye mnogofaznye zadachi prognozirovaniya, analiza i regulirovaniya razrabotki mestorozhdeniy nefti i gaza [Three-Dimensional Multiphase Problem of Forecasting, Analysis and Regulation Reservoir Engineering of Oil and Gas Fields]. Moscow: Graal.
- Pichugin O. N., Solyanoy P. N., Gavris A. S., Kosyakov V. P., Kosheverov G. G. 2015. “Sovershenstvovanie sistem razrabotki mestorozhdeniy na osnove kompleksnogo analiza informatsii o maloamplitudnykh tektonicheskikh narusheniyakh” [Updating of Fields Development Systems on the Basis of Complex Analysis of the Information about Low-Amplitude Tectonic Faults]. Neftepromyslovoe delo, pp. 5-15.
- Stepanov S. V., Efimov P. A. 2006. “Vliyanie perekhodnoy zony i skorosti vytesneniya na dinamiku obvodneniya skvazhiny” [Effect of a Transition Zone and Speed of Displacement on Drowning Dynamics]. Oil Industry, no 7, pp 84-86.
- Stepanov S.V. 2006. “Ispol'zovanie dannykh razrabotki mestorozhdeniy nefti dlya polucheniya krivykh fazovykh pronitsaemostey” [Use of oil Field Development Data for Phase Permeability Curves Obtaining]. Oil Industry, no 4, pp. 112-114.
- Stepanov S. V. 2006. “Matematicheskoe modelirovanie skvazhiny s uchetom struktury nasyshcheniya raschetnoy yacheyki” [Mathematical Modelling of a Well in View of Structure of Saturation of a Computational Mesh]. Oil Industry, no 4, pp. 114-115.
- Stepanov S. V. 2008. “Chislennoe issledovanie vliyaniya kapillyarnogo davleniya i szhimaemosti na dinamiku obvodnennosti skvazhiny” [Numerical Research of Capillary Pressure and Compressibility Effect on the Drowning Dynamics]. Oil Industry, no 8, pp. 72-74.
- Khasanov M. M., Bulgakova G. T. 2003. Nelineynye i neravnovesnye effekty v reologicheski slozhnykh sredakh [Nonlinear and Nonequilibrium Effects in Rheologically Complex Environments]. Moscow-Izhevsk: IKI.