Identifying the Permeability Field of a Three-Dimensional Layered Bed with Allowance for a Priori Information on Wells under Steady-State Single-Phase Filtration Conditions

Consideration is given to the coefficient problem on determining the permeability field of a three-dimensional layered bed under the conditions of steady-state single-phase filtration of the liquid. This problem is reduced to the problem of minimizing the residual function, which is constructed from...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2021-05, Vol.94 (3), p.587-591
Main Authors: Elesin, A. V., Kadyrova, A. Sh, Nikiforov, A. I.
Format: Article
Language:English
Subjects:
Algorithms
Classical Mechanics
Complex Systems
Engineering
Engineering Thermodynamics
Filtration
Heat and Mass Transfer
Industrial Chemistry/Chemical Engineering
Parameter identification
Permeability
Steady state
Thermodynamics
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Summary:Consideration is given to the coefficient problem on determining the permeability field of a three-dimensional layered bed under the conditions of steady-state single-phase filtration of the liquid. This problem is reduced to the problem of minimizing the residual function, which is constructed from the known values of pressure at the wellbore. An algorithm to solve this problem is proposed, whose distinctive feature is allowance for additional a priori information on the identified parameters. It is assumed that the proportionality coefficients of permeability of the layers on the wells are known. On the model problem, the solution stability to errors in measurements of pressure at the wellbore is investigated.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-021-02332-7