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Published in: Measurement Techniques 11/2017

24-04-2017 | GENERAL PROBLEMS OF METROLOGY AND MEASUREMENT TECHNIQUE

Modeling, Reproduction, and Mapping of Geological Fields with and Without Measurement Noise. Part 2. Variational Modeling, Interpolation, and Smart Computation Methods

Authors: A. M. Pashayev, R. A. Sadykhov, S. B. Habibullayev

Published in: Measurement Techniques | Issue 11/2017

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Abstract

Various methods for interpolation, smoothing, and neural network learning are examined. It is found that none of these methods is universal and absolutely reliable. Hybridization of these methods is recommended. Results are shown from a fuzzy neural network simulation with random location of the learning points and an unknown form of the sample distribution.

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Literature
1.
go back to reference A. M. Pashayev, R. A. Sadykhov, F. T. Ildyz, and Kh. T. Karabork, “Recovery of the parameters of geological fields,” Izmer. Tekhn., No. 12, 3–9 (2005). A. M. Pashayev, R. A. Sadykhov, F. T. Ildyz, and Kh. T. Karabork, “Recovery of the parameters of geological fields,” Izmer. Tekhn., No. 12, 3–9 (2005).
2.
go back to reference A. M. Pashayev, R. A. Sadykhov, F. G. Ramazanov, and F. S. Nazirli, “Recovery of the parameters of geological fields with measurement noise taken into account. Part 1. Methods of smoothing, filtration, and regularization,” Izmer. Tekhn., No. 8, 3–11 (2010). A. M. Pashayev, R. A. Sadykhov, F. G. Ramazanov, and F. S. Nazirli, “Recovery of the parameters of geological fields with measurement noise taken into account. Part 1. Methods of smoothing, filtration, and regularization,” Izmer. Tekhn., No. 8, 3–11 (2010).
3.
go back to reference A. M. Pashayev, R. A. Sadykhov, F. G. Ramazanov, and F. S. Nazirli, “Recovery of the parameters of geological fields with measurment noise taken into account. Part 2. Methods of identification, regularization, and soft computing,” Izmer. Tekhn., No. 10, (2010). A. M. Pashayev, R. A. Sadykhov, F. G. Ramazanov, and F. S. Nazirli, “Recovery of the parameters of geological fields with measurment noise taken into account. Part 2. Methods of identification, regularization, and soft computing,” Izmer. Tekhn., No. 10, (2010).
4.
go back to reference T. V. Yanovskaya and L. N. Porokhova, Inverse Problems in Geophysics, St. Petersb. Univ., St. Petersburg (2004). T. V. Yanovskaya and L. N. Porokhova, Inverse Problems in Geophysics, St. Petersb. Univ., St. Petersburg (2004).
5.
go back to reference A. N. Vasil’ev and D. A. Tarkhov, Neural Network Models. Principles. Algorithms. Applications, IPU, St. Petersburg (2009). A. N. Vasil’ev and D. A. Tarkhov, Neural Network Models. Principles. Algorithms. Applications, IPU, St. Petersburg (2009).
6.
go back to reference M. S. Zhdanov, Geophysical Electromagnetic Theory and Methods, Nauchnyi Mir, Moscow (2012). M. S. Zhdanov, Geophysical Electromagnetic Theory and Methods, Nauchnyi Mir, Moscow (2012).
8.
go back to reference R. A. Sadykhov, Mathematical Models and Efficient Algorithms for Solving Optimal Problems in Oil Extraction Automatic Process Controllers: Auth. Abstr. Dissert. Doct. Techn. Sci., Moscow (1995). R. A. Sadykhov, Mathematical Models and Efficient Algorithms for Solving Optimal Problems in Oil Extraction Automatic Process Controllers: Auth. Abstr. Dissert. Doct. Techn. Sci., Moscow (1995).
9.
go back to reference R. A. Sadigov, “Potential method in solution of multivariate problems of two-phase filtration in heterogeneous formation,” Trans. Acad. Sci. Azerbaijan, Ser. Phys. Tech. Math. Sci., XX, No. 1, 212–219 (2000). R. A. Sadigov, “Potential method in solution of multivariate problems of two-phase filtration in heterogeneous formation,” Trans. Acad. Sci. Azerbaijan, Ser. Phys. Tech. Math. Sci., XX, No. 1, 212–219 (2000).
10.
go back to reference S. Mukherjee and Yu. Mukherjee, Boundary Methods: Elements, Contours, and Nodes, Taylor & Francis Group LLC, New York (2005).CrossRefMATH S. Mukherjee and Yu. Mukherjee, Boundary Methods: Elements, Contours, and Nodes, Taylor & Francis Group LLC, New York (2005).CrossRefMATH
11.
go back to reference A. M. Pashayev, D. D. Askerov, and R. A. Sadykhov, “Modeling of temperature fields in gas turbine aircraft engines,” Tr. TsAGI im. Zhukovskogo (2003), Iss. 2661. A. M. Pashayev, D. D. Askerov, and R. A. Sadykhov, “Modeling of temperature fields in gas turbine aircraft engines,” Tr. TsAGI im. Zhukovskogo (2003), Iss. 2661.
12.
go back to reference R. A. Sadigov, “Probability-statistical and variation approaches to a solution of problems (tasks) of interpolation of geofields,” Elmi Mecmueler, 10, No. 1, 51 (2008). R. A. Sadigov, “Probability-statistical and variation approaches to a solution of problems (tasks) of interpolation of geofields,” Elmi Mecmueler, 10, No. 1, 51 (2008).
13.
go back to reference A. Pashayev, D. Askerov, R. Sadigov, and A. Samedov, “Numerical modeling of gas turbine cooled blades,” Aviation, IX, No. 3, 9–18 (2005). A. Pashayev, D. Askerov, R. Sadigov, and A. Samedov, “Numerical modeling of gas turbine cooled blades,” Aviation, IX, No. 3, 9–18 (2005).
14.
go back to reference V. V. Veselov, D. P. Gontov, and L. M. Pustyl’nikov, Variational Approach to Interpolation Problems for Physical Fields, Nauka, Moscow (1983).MATH V. V. Veselov, D. P. Gontov, and L. M. Pustyl’nikov, Variational Approach to Interpolation Problems for Physical Fields, Nauka, Moscow (1983).MATH
15.
go back to reference V. Kononov and V. Kanushin, “Application of the Poisson equation in image processing problems,” Graf. Multimedia, No. 7 (1), 1–18 (2009). V. Kononov and V. Kanushin, “Application of the Poisson equation in image processing problems,” Graf. Multimedia, No. 7 (1), 1–18 (2009).
16.
go back to reference Yu. V. Boltov and I. A. Volkov, “Smoothing of images based on solving boundary value problems,” Telekommunikatsii, No. 5, 29–37 (2010). Yu. V. Boltov and I. A. Volkov, “Smoothing of images based on solving boundary value problems,” Telekommunikatsii, No. 5, 29–37 (2010).
17.
go back to reference V. N. Tsibanov, Regularizing Filtration and Recovery Methods: Auth. Abstr. Dissert. Cand. Phys.-Math. Sci., Moscow (2008). V. N. Tsibanov, Regularizing Filtration and Recovery Methods: Auth. Abstr. Dissert. Cand. Phys.-Math. Sci., Moscow (2008).
18.
go back to reference L. A. Buryakovskii, I. S. Dzhafarov, and R. D. Dzhavanshir, Modeling of Systems for Oil and Gas Geology, Nedra, Moscow (1990). L. A. Buryakovskii, I. S. Dzhafarov, and R. D. Dzhavanshir, Modeling of Systems for Oil and Gas Geology, Nedra, Moscow (1990).
Metadata
Title
Modeling, Reproduction, and Mapping of Geological Fields with and Without Measurement Noise. Part 2. Variational Modeling, Interpolation, and Smart Computation Methods
Authors
A. M. Pashayev
R. A. Sadykhov
S. B. Habibullayev
Publication date
24-04-2017
Publisher
Springer US
Published in
Measurement Techniques / Issue 11/2017
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-017-1105-7

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