Relative Permeability Calculation Methods in Multiphase Filtration Problems

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

Release:

2018, Vol. 4. №1

Title: 
Relative Permeability Calculation Methods in Multiphase Filtration Problems


For citation: Shabarov A. B., Shatalov A. V., Markov P. V., Shatalova N. V. 2018. “Relative Permeability Calculation Methods in Multiphase Filtration Problems”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 4, no 1, pp. 79-109. DOI: 10.21684/2411-7978-2018-4-1-79-109

About the authors:

Aleksandr B. Shabarov, Dr. Sci. (Tech.), Professor, Honored Scientist of the Russian Federation, Professor, Department of Applied and Technical Physics, School of Natural Science, University of Tyumen, Tyumen, Russia; a.b.shabarov@utmn.ru, https://orcid.org/0000-0002-5374-8704
Alexander V. Shatalov, Postgraduate Student, Engineer, Department of Multiphase Systems Mechanics, University of Tyumen; sashatl@yandex.ru

Pavel V. Markov, Deputy Director General, UNI-CONCORD (Tyumen); Director General, “MicroModel” (Moscow); markov.pv@mail.ru

Natalya V. Shatalova, Teaching Assistant, Department of Electric Power Industry, Industrial University of Tyumen; natalyashatalova@yandex.ru

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Abstract:

Computer simulators in oilfield hydrodynamic modelling are used at the stage of engineering design and operation. Their operation requires the knowledge of invading and displacing fluid relative permeabilities, which determine filtration process and, consequently, well production in accordance with generalized Darcy’s low.

This paper presents the relative permeability mathematical definition, the multiphase flow equation system, a literature review, devoted to native and foreign authors relative permeabilities calculation methods; a diagram of methods classification is included. The diagram consists of four large groups: 1) experimental (core sample tests), 2) combined computational and experimental, 3) empirical, field data, and 4) inverse problems solving based. Different ways of sample geometrical model construction, pore space topologies, calculation techniques of multiphase flows in this space structures are described. An analytical research of accuracy and computational cost of the relative permeability curves plotting methods has been performed. Advantages and disadvantages of different approaches are pointed out, potential of the combined computational and experimental method is showed.

Keywords:

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