The method for modeling the development of a gas field on the basis of a hierarchy of mathematical models

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


Release:

2019, Vol. 5. №3

Title: 
The method for modeling the development of a gas field on the basis of a hierarchy of mathematical models


For citation: Kosyakov V. P., Gubaidullin A. A., Legostaev D. Yu. 2019. “The method for modeling the development of a gas field on the basis of a hierarchy of mathematical models”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 5, no 3, pp. 69-82. DOI: 10.21684/2411-7978-2019-5-3-69-82

About the authors:

Vitaly P. Kosyakov, Cand. Sci. (Phys.-Math.), Senior Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; eLibrary AuthorID, Web of Science ResearcherID, hammer-rav@mail.ru

Amir A. Gubaidullin, Dr. Sci. (Phys.-Math.), Professor, Сhief Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; eLibrary AuthorID, ORCID, Web of Science ResearcherID, Scopus AuthorID, a.a.gubaidullin@yandex.ru

Dmitry Yu. Legostaev, Laboratory Assistant, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; Assistant, Department of Applied and Technical Physics, University of Tyumen; eLibrary AuthorID, legostaevdy@yandex.ru

Abstract:

This article presents an approach aimed at the sequential application of mathematical models of different complexity (simple to complex) for modeling the development of a gas field. The proposed methodology allows the use of simple models as regularizers for the more complex ones. The main purpose of the applied mathematical models is to describe the energy state of the reservoir — reservoir pressure. In this paper, we propose an algorithm for adapting the model, which allows constructing reservoir pressure maps for the gas field, as well as estimating the dynamics of reservoir pressure with a possible output for determining the position of the gas-water contact level.

References:

  1. Basniyev K. S., Dmitriyev N. M., Kanevskaya R. D., Maksimov V. M. 2006. Underground Hydromechanics. Moscow-Izhevsk: Institut kompyuternykh issledovaniy. [In Russian]
  2. Gubaydullin A. A., Kosyakov V. P. 2017. “Algorithm of solving the problem of oil field hydroconductivity restoration under the conditions of field data incompleteness”. Proceedings in Cybernetics, no 1 (25), pp. 67-73. [In Russian]
  3. Gubaydullin A. A., Kosyakov V. P. 2016. “Numerical-analytical algorithm for solving the inverse problem of oil field hydroconductivity restoration using field data”. Proceedings in Cybernetics, no 3 (23), pp. 26-34. [In Russian]
  4. Dake L. P. 2008. The Practice of Reservoir Engineering. Moskva-Izhevsk: Institut kompyuternykh issledovaniy. [In Russian]
  5. Kosyakov V. P., Musakayev E. N., Shirshov Ya. V. 2015. “Calculation technology for calculating the material balance at an oil field”. Neftepromyslovoye delo, no 11, pp. 30-34. [In Russian]
  6. Dake L. P. 1998. Fundamentals of Reservoir Engineering. Elsevier.
  7. Svanberg K. 1987. “The method of moving asymptotes — a new method for structural optimization”. International Journal for Numerical Methods in Engineering, vol. 24, no 2, pp. 359-373. DOI: 10.1002/nme.1620240207