A problem of diagnostics of a pipeline by thermal fields is considered. Numerical simulation of heat transfer processes is presented. The mathematical model of heat propagation in upper layers of soil is described with accounting filtration of ground water in soil and climatic factors of the area. The thermal processes suppose the pipeline as an underground heat source. This problem leads to solution of heat diffusivity equation with nonlinear boundary conditions and allows to investigate interaction of natural thermal fields and the pipeline thermal trace. Approaches to analysis of thermal fields are considered to detect damages of underground pipelines. An influence of background climatic conditions is discussed.
REFERENCES
1.
O. N.
Budanin
, A. N.
Potapov
, V. I.
Kolganov
and T. E.
Trotskii-Markov
, Thermal non-destructive testing of products.
Moscow
, Nauka
, 2002
.2.
V. V.
Bashurov
, A. I.
Kropotov
, N. A.
Vaganova
, M. Y.
Filimonov
, M. V.
Pchelintsev
and N. A.
Skorkin
, Journal of Applied Mechanics and Technical Physics
53
(1
) 43
–48
(2012
).3.
Yu. P.
Baikov
, V. V.
Bashurov
, S. V.
Zharinov
, I. A.
Komleva
and L. F.
Perevozchikov
, Gazovaya promishlennost’
8
(679
) 85
–88
(2011
).4.
N. A.
Vaganova
, “Simulation of thermal fields of a deepen isolated pipeline with accounting radiation
,” in XXXI International Summer School-Conference “Advanced Problems in Mechanics”
(St. Petersburg
, IPME
, 2003
), pp. 1
–15
.5.
N. A.
Vaganova
, “New models to computation of nonstationary thermal fields from deepen pipeline on earth surface
,” in XXV International Summer School-Conference “Advanced Problems in Mechanics”
(St. Petersburg
, IPME
, 2007
), pp. 438
–441
.6.
V. V.
Bashurov
, N. A.
Vaganova
and M. Yu.
Filimonov
, “Simulation and calculation of non-stationary thermal fields from a buried thermally insulated pipeline
”, in V All-Russian Scientific Conference with International Participation “Mathematical Modeling and Boundary-Value Problems”
(Samara
, SSTU
, 2008
), pp. 28
–31
.7.
8.
N. A.
Vaganova
, “Simulation of thermal fields from an underground pipeline at the ground surface
”, in 43rd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2017
, AIP Conference Proceedings
1910
, edited by G.
Venkov
et al. (American Institute of Physics
, Melville, NY
, 2017
), p. 020005
.9.
N. A.
Vaganova
, “Mathematical model of testing of pipeline integrity by thermal fields
”, in 40th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2014
, AIP Conference Proceedings
1631
, edited by G.
Venkov
et al. (American Institute of Physics
, Melville, NY
, 2014
), pp. 37
–41
.10.
11.
N. A.
Vaganova
, “Numerical simulation of heat propagation from deepen pipeline with accounting filtration properties of soils
” in XXXVII Summer School-Conference “Advanced Problems in Mechanics”
(St. Petersburg
, IPM
, 2009
), pp. 676
–680
.12.
N. A.
Vaganova
and M. Y.
Filimonov
, “Simulation of thermal fields from pipelines in a wet soil
”, in Russia-Korea workshop
(Yekaterinburg
, UrFU
, 2011
), pp. 116
–118
.13.
V. V.
Bashurov
, N. A.
Vaganova
and M. Y.
Filimonov
, J. Computer Technol
16
(4
) 3
–18
(2011
).14.
M. Yu.
Filimonov
and N. A.
Vaganova
, Applied Mathematical Sciences
7
(144
) 7151
–7160
(2013
).15.
N. A.
Vaganova
and M. Y.
Filimonov
, “Computer simulation of nonstationary thermal fields in design and operation of northern oil and gas fields” in
41st International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2015
, AIP Conference Proceedings
1690
, edited by V.
Pasheva
et al. (American Institute of Physics
, Melville, NY
, 2015
), p. 020016
.16.
M. Y.
Filimonov
and N. A.
Vaganova
, “Simulation of technogenic and climatic influences in permafrost
”, in International Conference on Finite Difference Methods, FDM 2014
, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9045
, edited by L.
Farago
et al. (Springer Verlag
, 2015
), pp. 185
–192
.17.
N.
Vaganova
and M. Y.
Filimonov
, “Different shapes of constructions and their effects on permafrost
”, in 42nd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2016
, AIP Conference Proceedings
1789
, edited by V.
Pasheva
et al. (American Institute of Physics
, Melville, NY
, 2016
), p. 020019
.18.
N.
Vaganova
and M.
Filimonov
, IOP Conference Series: Earth and Environmental Science
72
(1
) 012005
(2017
).19.
N. A.
Vaganova
and M. Y.
Filimonov
, Journal of Physics: Conference Series
899
(9
), 092004
(2017
).20.
N. A.
Vaganova
, “Simulation of long-term influence from technical systems on permafrost with various short- scale and hourly operation modes in Arctic region
”, in 43rd International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2017
, AIP Conference Proceedings
1910
, edited by G.
Venkov
et al. (American Institute of Physics
, Melville, NY
, 2017
), p. 200006
.21.
A. A.
Samarsky
and P. N.
Vabishchevich
, Computational Heat Transfer. Volume 2. The Finite Difference Methodology
. Chichester
, Wiley
, 1995
.22.
N. A.
Vaganova
, Proceedings of the Steklov Institute of Mathematics
261
(1
) S260
–S271
(2008
).23.
N. A.
Vaganova
, Proceedings of the Steklov Institute of Mathematics
2
S182
–S192
(2003
).24.
M. Yu.
Filimonov
, Differential Equations
39
(6
) 844
–852
(2003
).25.
M.
Filimonov
, “Application of method of special series for solution of nonlinear partial differential equations
”, in 40th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2014
, AIP Conference Proceedings
1631
, edited by G.
Venkov
et al. (American Institute of Physics
, Melville, NY
, 2014
), pp. 218
–223
.26.
M. Yu.
Filimonov
, Differential Equations
39
(8
) 1159
–1166
(2003
).27.
M. Yu.
Filimonov
, Differential Equations
36
(11
) 1685
–1691
(2000
).28.
M. Yu.
Filimonov
, Proceedings of the Steklov Institute of Mathematics
261
(1
) S55
–S76
(2008
).
This content is only available via PDF.
© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.