Identification of piecewise constant filtration parameters and boundaries of their constancy domains

Identification of piecewise constant filtration parameters and boundaries of their constancy domains Consideration was given to the numerical solution of the problem of parametric identification of the processes obeying the parabolic equations using an example of the processes of underground oil filtration. The identified parameters belong to the given functional classes such as the piecewise constant and piecewise linear functions. In the problem, needed is not only to determine the values of the coefficients, but also to identify the constancy boundaries of the coefficients. For numerical solution of the problem, an approach was suggested based on reduction of the initial problem to that of finite-dimensional optimization with a special structure of constraints. Obtained were the formulas for the gradient of the objective functional in the discretized problem allowing one to apply the efficient methods of first-order optimization. The results of numerical experiments on the model problems were presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automation and Remote Control Springer Journals

Identification of piecewise constant filtration parameters and boundaries of their constancy domains

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Publisher
Pleiades Publishing
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Control, Robotics, Mechatronics; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design
ISSN
0005-1179
eISSN
1608-3032
D.O.I.
10.1134/S0005117917080021
Publisher site
See Article on Publisher Site

Abstract

Consideration was given to the numerical solution of the problem of parametric identification of the processes obeying the parabolic equations using an example of the processes of underground oil filtration. The identified parameters belong to the given functional classes such as the piecewise constant and piecewise linear functions. In the problem, needed is not only to determine the values of the coefficients, but also to identify the constancy boundaries of the coefficients. For numerical solution of the problem, an approach was suggested based on reduction of the initial problem to that of finite-dimensional optimization with a special structure of constraints. Obtained were the formulas for the gradient of the objective functional in the discretized problem allowing one to apply the efficient methods of first-order optimization. The results of numerical experiments on the model problems were presented.

Journal

Automation and Remote ControlSpringer Journals

Published: Aug 19, 2017

References

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