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2018 | OriginalPaper | Buchkapitel

1. Theory and Practice of Wave Processes Modelling

verfasst von : Alena V. Favorskaya, Igor B. Petrov

Erschienen in: Innovations in Wave Processes Modelling and Decision Making

Verlag: Springer International Publishing

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Abstract

This chapter presents a brief description of chapters devoted to the innovations in wave processes modelling and decision making (grid-characteristic method and applications). Grid-characteristic method is a direct finite-difference numerical method for obtaining full-wave solution of hyperbolic systems of equations. One can use different types of grids such as the regular, triangular, tetrahedral, and nested grids. This method is often used for modelling of the acoustic and isotropic/anisotropic elastic waves in heterogeneous media. Also, the original analytical algorithms for interpolation on the unstructured triangular and tetrahedral meshes are developed. The study of wave processes might be used in different applied areas, e.g. geophysics, non-destructive testing of different objects and materials, ultrasonic testing, seismic stability investigation, and ultrasonic operations modelling. Original investigation of composite materials delamination and non-destructive testing is done. The geological faults zones study is performed. Also, the migration techniques of acoustic and elastic fields are developed.

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Literatur
1.
Zurück zum Zitat Favorskaya AV, Petrov IB (2016) A study of high-order grid-characteristic methods on unstructured grids. Numer Anal Appl 9(2):171–178 Favorskaya AV, Petrov IB (2016) A study of high-order grid-characteristic methods on unstructured grids. Numer Anal Appl 9(2):171–178
2.
Zurück zum Zitat Petrov IB, Favorskaya AV, Muratov MV, Biryukov VA, Sannikov AV (2014) Grid-characteristic method on unstructured tetrahedral grids. Dokl Math 90(3):781–783 Petrov IB, Favorskaya AV, Muratov MV, Biryukov VA, Sannikov AV (2014) Grid-characteristic method on unstructured tetrahedral grids. Dokl Math 90(3):781–783
3.
Zurück zum Zitat Petrov IB, Favorskaya AV, Sannikov AV, Kvasov IE (2013) Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step. Math Models Comput Simul 5(5):409–415 Petrov IB, Favorskaya AV, Sannikov AV, Kvasov IE (2013) Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step. Math Models Comput Simul 5(5):409–415
4.
Zurück zum Zitat Favorskaya AV, Petrov IB (2016) Wave responses from oil reservoirs in the Arctic shelf zone. Doklady Earth Sciences 466 (2):214–217 Favorskaya AV, Petrov IB (2016) Wave responses from oil reservoirs in the Arctic shelf zone. Doklady Earth Sciences 466 (2):214–217
5.
Zurück zum Zitat Favorskaya AV, Petrov IB (2017) Numerical modeling of dynamic wave effects in rock masses. Dokl Math 95(3):287–290 Favorskaya AV, Petrov IB (2017) Numerical modeling of dynamic wave effects in rock masses. Dokl Math 95(3):287–290
6.
Zurück zum Zitat Favorskaya A, Petrov I, Golubev V, Khokhlov N (2017) Numerical simulation of earthquakes impact on facilities by grid-characteristic method. Proc Comp Sci 112:1206–1215 Favorskaya A, Petrov I, Golubev V, Khokhlov N (2017) Numerical simulation of earthquakes impact on facilities by grid-characteristic method. Proc Comp Sci 112:1206–1215
7.
Zurück zum Zitat Petrov IB, Favorskaya AV, Khokhlov NI, Miryakha VA, Sannikov AV, Golubev VI (2015) Monitoring the state of the moving train by use of high performance systems and modern computation methods. Math Models Comput Simul 7(1):51–61 Petrov IB, Favorskaya AV, Khokhlov NI, Miryakha VA, Sannikov AV, Golubev VI (2015) Monitoring the state of the moving train by use of high performance systems and modern computation methods. Math Models Comput Simul 7(1):51–61
8.
Zurück zum Zitat Magomedov KM, Kholodov AS (1988) Grid characteristic methods. Nauka, Moscow Magomedov KM, Kholodov AS (1988) Grid characteristic methods. Nauka, Moscow
9.
Zurück zum Zitat Kholodov AS (1978) Construction of difference schemes with positive approximation for hyperbolic equations. USSR Comput Math Math Phys 18(6):116–132 Kholodov AS (1978) Construction of difference schemes with positive approximation for hyperbolic equations. USSR Comput Math Math Phys 18(6):116–132
10.
Zurück zum Zitat Kholodov AS (1980) The construction of difference schemes of increased order of accuracy for equations of hyperbolic type. USSR Comput Math Math Phys 20(6):234–253 Kholodov AS (1980) The construction of difference schemes of increased order of accuracy for equations of hyperbolic type. USSR Comput Math Math Phys 20(6):234–253
11.
Zurück zum Zitat Kholodov AS, Kholodov YaA (2006) Monotonicity criteria for difference schemes designed for hyperbolic equations. Comput Math Math Phys 46(9):1560–1588 Kholodov AS, Kholodov YaA (2006) Monotonicity criteria for difference schemes designed for hyperbolic equations. Comput Math Math Phys 46(9):1560–1588
12.
Zurück zum Zitat Alekseenko AE, Kholodov AS, Kholodov YA (2016) Boundary control problems for quasilinear systems of hyperbolic equations. Comput Math Math Phys 56(6):916–931 Alekseenko AE, Kholodov AS, Kholodov YA (2016) Boundary control problems for quasilinear systems of hyperbolic equations. Comput Math Math Phys 56(6):916–931
13.
Zurück zum Zitat Belotserkovskii OM, Popov FD, Tolstykh AI, Fomin VN, Kholodov AS (1970) Numerical solution of some problems in gas dynamics. USSR Comput Math and Math Phys 10(2):158–177 Belotserkovskii OM, Popov FD, Tolstykh AI, Fomin VN, Kholodov AS (1970) Numerical solution of some problems in gas dynamics. USSR Comput Math and Math Phys 10(2):158–177
14.
Zurück zum Zitat Beklemysheva KA, Petrov IB, Favorskaya AV (2014) Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method. Math Models Comput Simul 6(3):294–304 Beklemysheva KA, Petrov IB, Favorskaya AV (2014) Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method. Math Models Comput Simul 6(3):294–304
15.
Zurück zum Zitat Vasyukov AV, Ermakov AS, Potapov AP, Petrov IB, Favorskaya AV, Shevtsov AV (2014) Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems. Comput Math Math Phys 54(7):1176–1189 Vasyukov AV, Ermakov AS, Potapov AP, Petrov IB, Favorskaya AV, Shevtsov AV (2014) Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems. Comput Math Math Phys 54(7):1176–1189
16.
Zurück zum Zitat Petrov I, Vasyukov A, Beklemysheva K, Ermakov A, Favorskaya A (2016) Numerical modeling of non-destructive testing of composites. Proc Comput Sci 96:930–938 Petrov I, Vasyukov A, Beklemysheva K, Ermakov A, Favorskaya A (2016) Numerical modeling of non-destructive testing of composites. Proc Comput Sci 96:930–938
17.
Zurück zum Zitat Zhdanov MS (2002) Geophysical inverse theory and regularization problems. Methods in Geochemistry and Geophysics, vol 36, Elsevier, Netherlands Zhdanov MS (2002) Geophysical inverse theory and regularization problems. Methods in Geochemistry and Geophysics, vol 36, Elsevier, Netherlands
18.
Zurück zum Zitat Luo Y, Tromp J, Denel B, Calandra H (2013) 3D coupled acoustic-elastic migration with topography and bathymetry based on spectral-element and adjoint methods. Geophysics 78(4):193–202 Luo Y, Tromp J, Denel B, Calandra H (2013) 3D coupled acoustic-elastic migration with topography and bathymetry based on spectral-element and adjoint methods. Geophysics 78(4):193–202
19.
Zurück zum Zitat Morse PM, Feshbach H (1953) Methods of theoretical physics. McGraw-Hill Book Co. Inc, New York, Toronto, London Morse PM, Feshbach H (1953) Methods of theoretical physics. McGraw-Hill Book Co. Inc, New York, Toronto, London
20.
Zurück zum Zitat Moser TJ (2012) Review of ray-Born forward modeling for migration and diffraction analysis Stud Geophys Geod 56(2):411–432 Moser TJ (2012) Review of ray-Born forward modeling for migration and diffraction analysis Stud Geophys Geod 56(2):411–432
21.
Zurück zum Zitat Cervený V, Klimeš L, Pšenčík I (2007) Seismic ray method: recent developments. Adv Geophys 48:1–126 Cervený V, Klimeš L, Pšenčík I (2007) Seismic ray method: recent developments. Adv Geophys 48:1–126
22.
Zurück zum Zitat Thierry P, Operto S, and Lambar´e G (1999) Fast 2-D ray—born migration/inversion in complex media. Geophysics 64(1):162–181 Thierry P, Operto S, and Lambar´e G (1999) Fast 2-D ray—born migration/inversion in complex media. Geophysics 64(1):162–181
23.
Zurück zum Zitat Beydoun WB, Mendes M (1989) Elastic ray-Born L2-migration/inversion. Geophys J Int 97(1):151–160 Beydoun WB, Mendes M (1989) Elastic ray-Born L2-migration/inversion. Geophys J Int 97(1):151–160
24.
Zurück zum Zitat Beylkin G, Burridge R (1990) Linearized inverse scattering problems in acoustics and elasticity. Wave Motion 12(1):15–52 Beylkin G, Burridge R (1990) Linearized inverse scattering problems in acoustics and elasticity. Wave Motion 12(1):15–52
25.
Zurück zum Zitat Favorskaya MN, Buryachenko VV (2018) Warping techniques in video stabilization. Intell Syst Ref Librar 135:177–215 Favorskaya MN, Buryachenko VV (2018) Warping techniques in video stabilization. Intell Syst Ref Librar 135:177–215
26.
Zurück zum Zitat Favorskaya MN, Jain LC (2017) Large scene rendering. Intell Syst Ref Librar 122:281–320 Favorskaya MN, Jain LC (2017) Large scene rendering. Intell Syst Ref Librar 122:281–320
27.
Zurück zum Zitat Favorskaya M, Buryachenko V, Tomilina A (2017) Structure-based improvement of scene warped locally in digital video stabilization. Proc Comput Sci 112:1062–1071 Favorskaya M, Buryachenko V, Tomilina A (2017) Structure-based improvement of scene warped locally in digital video stabilization. Proc Comput Sci 112:1062–1071
28.
Zurück zum Zitat Favorskaya M, Jain LC (2016) Recognition of pedestrian active events by robust to noises boost algorithm. Adv Intell Syst Comput 357:863–873 Favorskaya M, Jain LC (2016) Recognition of pedestrian active events by robust to noises boost algorithm. Adv Intell Syst Comput 357:863–873
29.
Zurück zum Zitat Favorskaya M, Jain LC, Proskurin A (2016) Unsupervised clustering of natural images in automatic image annotation systems. Intell Syst Ref Lib 108:23–155 Favorskaya M, Jain LC, Proskurin A (2016) Unsupervised clustering of natural images in automatic image annotation systems. Intell Syst Ref Lib 108:23–155
Metadaten
Titel
Theory and Practice of Wave Processes Modelling
verfasst von
Alena V. Favorskaya
Igor B. Petrov
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-76201-2_1