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Global sensitivity analysis for a stochastic flow problem

Author

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  • Kolyukhin Dmitriy

    (Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Akademika Koptyuga Prosp. 3, Novosibirsk, 630090, Russia)

Abstract

The paper is devoted to the modeling of a single-phase flow through saturated porous media. A statistical approach where permeability is considered as a lognormal random field is applied. The impact of permeability, random boundary conditions and wells pressure on the flow in a production well is studied. A numerical procedure to generate an ensemble of realizations of the numerical solution of the problem is developed. A global sensitivity analysis is performed using Sobol indices. The impact of different model parameters on the total model uncertainty is studied.

Suggested Citation

  • Kolyukhin Dmitriy, 2018. "Global sensitivity analysis for a stochastic flow problem," Monte Carlo Methods and Applications, De Gruyter, vol. 24(4), pages 263-270, December.
    • Handle: RePEc:bpj:mcmeap:v:24:y:2018:i:4:p:263-270:n:1
    DOI: 10.1515/mcma-2018-2022
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    References listed on IDEAS

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    1. Sobol’, I.M. & Tarantola, S. & Gatelli, D. & Kucherenko, S.S. & Mauntz, W., 2007. "Estimating the approximation error when fixing unessential factors in global sensitivity analysis," Reliability Engineering and System Safety, Elsevier, vol. 92(7), pages 957-960.
    2. Sobol′ , I.M, 2001. "Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(1), pages 271-280.
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