Neftyanaya Provintsiya Journal

No.1(13),2018

IDENTIFICATION OF FORMATION PERMEABILITY FIELD USING DIFFERENT APPROXIMATION TYPES IN SINGLE-PHASE STEADYSTATE FLOW PROBLEM

Elesin A.V., Kadyirova A.Sh., Nikiforov A.I.

DOI https://doi.org/10.25689/NP.2018.1.1-11

PP.1-11

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Abstract

A comparison of different types of the permeability field parameterization at its identification is performed. The spline function, piecewise constant and piecewise bilinear functions are used to approximate the permeability field. The identification task of the permeability field is reduced to minimization of the residual function. The advantage of using the spline function in comparison with other types of approximation is shown on the model tasks.

Key words:

permeability identification; inverse problem; approximation of permeability; minimization of residual function; method of LevenbergMarquardt

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Authors

Elesin A.V., PhD, Head of Groundwater Math Simulation Laboratory, Institute of Mechanics and Machinery, Kazan Research Center of the RAS, Kazan, Republic of Tatarstan, Russian Federation E-mail: elesin@imm.knc.ru

Kadyrova A.Sh., PhD, Senior researcher, Groundwater Math Simulation Laboratory, Institute of Mechanics and Machinery, Kazan Research Center of the RAS, Kazan, Republic of Tatarstan, Russian Federation E-mail: kadyirova_ash@imm.knc.ru

Nikiforov A.I., Dr.Sc, Professor, Head of Fluid Flow Math Simulation Laboratory, Institute of Mechanics and Machinery, Kazan Research Center of the RAS, Kazan, Republic of Tatarstan, Russian Federation E-mail: nikiforov@imm.knc.ru

For citation:

A.V. Elesin, A.Sh. Kadyirova, A.I. Nikiforov Identifikacija polja pronicaemosti plasta s ispol'zovaniem razlichnyh tipov approksimacii v zadache odnofaznoj stacionarnoj fil'tracii zhidkosti [Identification of formation permeability field using different approximation types in single-phase steadystate flow problem]. Neftyanaya Provintsiya, No. 1(13), 2018. pp. 1-11. https://doi.org/10.25689/NP.2018.1.1-11 (in Russian)