Numerical modeling of seismic influence on underwater composite oil pipeline
Matematičeskoe modelirovanie, Tome 31 (2019) no. 1, pp. 103-113.

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of numerical modeling of the process of seismic activity initiation on an ocean shelf and its destructive effect on composite oil pipelines laid along the seabed is considered. To describe the dynamic behavior of the medium, the determining systems of equations of the theory of elasticity and acoustics are used, with explicit separation of all layers. The composite is described as an orthotropic material. An algorithm is proposed that allows the estimation of volume and type of oil pipeline destruction for a given level of seismic activity and strength characteristics of a composite. A distinctive feature of the developed approach is the splitting of the problem into two stages that are calculated in different scales: the full wave calculation of the propagation of seismic waves from the source of the earthquake to the day surface and the calculation of a composite pipeline element as an anisotropic material of complex shape. For numerical calculation, a gridcharacteristic method is used for hexahedral and tetrahedral computational grids.
Keywords: numerical simulation, continuous mechanics, grid-characteristic method, earthquake, seismic resistance, parallel programming.
Mots-clés : composite, destruction
@article{MM_2019_31_1_a5,
     author = {K. A. Beklemysheva and A. V. Vasyukov and V. I. Golubev and I. B. Petrov},
     title = {Numerical modeling of seismic influence on underwater composite oil pipeline},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--113},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_1_a5/}
}
TY  - JOUR
AU  - K. A. Beklemysheva
AU  - A. V. Vasyukov
AU  - V. I. Golubev
AU  - I. B. Petrov
TI  - Numerical modeling of seismic influence on underwater composite oil pipeline
JO  - Matematičeskoe modelirovanie
PY  - 2019
SP  - 103
EP  - 113
VL  - 31
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2019_31_1_a5/
LA  - ru
ID  - MM_2019_31_1_a5
ER  - 
%0 Journal Article
%A K. A. Beklemysheva
%A A. V. Vasyukov
%A V. I. Golubev
%A I. B. Petrov
%T Numerical modeling of seismic influence on underwater composite oil pipeline
%J Matematičeskoe modelirovanie
%D 2019
%P 103-113
%V 31
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2019_31_1_a5/
%G ru
%F MM_2019_31_1_a5
K. A. Beklemysheva; A. V. Vasyukov; V. I. Golubev; I. B. Petrov. Numerical modeling of seismic influence on underwater composite oil pipeline. Matematičeskoe modelirovanie, Tome 31 (2019) no. 1, pp. 103-113. http://geodesic.mathdoc.fr/item/MM_2019_31_1_a5/

[1] V.I. Golubev, O.Y. Voinov, Y.I. Zhuravlev, “On seismic imaging of fractured geological media”, Dokl. Math., 96:2 (2017), 514–516 | DOI | MR | Zbl

[2] S. Abrate, “Impact on Laminated Composite Materials”, Applied Mechanics Reviews, 44:4 (1991), 155–190 | DOI

[3] S. Abrate, “Damage in laminates from low-velocity impacts”, Dynamic Deformation, Damage and Fracture in Composite Materials and Structures, 2016, 35–69 | DOI

[4] M.J. Hinton, A.S. Kaddour, P.D. Soden, Failure criteria in fibre reinforced polymer composites: the world-wide failure exercise, Elsevier, Amersterdam–London, 2004

[5] M.J. Hinton, A.S. Kaddour, “Maturity of 3D failure criteria for fibre-reinforced composites: Comparison between theories and experiments: Part B of WWFE-II”, Journal of Composite Materials, 2013, no. 7, 925–966

[6] K.A. Beklemysheva, A.S. Ermakov, I.B. Petrov, A.V. Vasyukov, “Numerical simulation of the failure of composite materials by using the grid-characteristic method”, Mathematical Models and Computer Simulations, 8:5 (2016), 557–567 | DOI | MR

[7] V. Lopresto, G. Caprino, “Damage Mechanisms and Energy Absorption in Composite Laminates Under Low Velocity Impact Loads”, Dynamic Failure of Composite and Sandwich Structures, Solid Mechanics and Its Applications, 192, eds. Abrate S., Castanié B., Rajapakse Y., 2013, 209–289 | DOI | MR

[8] G. Caprino, “Residual strength prediction of impacted CFRP laminates”, J. Compos. Mater., 18 (1984), 508–518 | DOI

[9] G.E. Husman, J.M. Whitney, J.C. Halpin, “Residual strength characterisation of laminated composites subjected to impact loading”, ASTM STP, 568 (1975), 92–113

[10] I.B. Petrov, A.V. Favorskaya, A.V. Vasyukov, A.S. Ermakov, K.A. Beklemysheva, A.O. Kazakov, A.V. Novikov, “Numerical simulation of wave propagation in anisotropic media”, Doklady mathematics, 90:3 (2015), 778–780 | DOI

[11] U.M. Zaslavskiy, B.V. Kergakov, V.V. Kulinich, “Vertikalnoye seismicheskoe profilirovanie na morskom shelfe”, Akusticheskiy Zhurnal, 54:3 (2008), 483–490

[12] V.I. Golubev, I.E. Kvasov, I.B. Petrov, “Influence of natural disasters on ground facilities”, Mathematical Models and Computer Simulations, 4:2 (2012), 129–134 | DOI | MR

[13] F.B. Chelnokov, “Iavnoe predstavlenie setochno-kharakteristicheskikh skhem dlia uravenii uprugosti v dvumernom i trekhmernom prostranstvakh”, Matematicheskoe modelirovanie, 18:6 (2006), 96–108 | Zbl

[14] K.A. Beklemysheva, A.A. Danilov, I.B. Petrov, V.Yu. Salamatova, Yu.V. Vassilevski, A.V. Vasyukov, “Virtual blunt injury of human thorax: Age-dependent response of vascular system”, RJNAMM, 30:5 (2015), 259–268 | MR | Zbl

[15] P.I. Agapov, O.M. Belotserkovskii, I.B. Petrov, “Numerical Simulation of the Consequences of a Mechanical Action on a Human Brain under a Skull Injury”, Computational Mathematics and Mathematical Physics, 46:9 (2006), 1629–1738 | DOI | MR

[16] K.A. Beklemysheva, A.V. Vasyukov, A.S. Ermakov, I.B. Petrov, A.S. Dzyuba, V.I. Golovan, “Chislennoe modelirovanie dinamicheskih protsessov pri nizkoskorostnom udare po kompozitnoi stringernoi paneli”, Matem. modelirovanie, 26:9 (2014), 96–110 | Zbl

[17] V.I. Golubev, I.B. Petrov, “Opyt rascheta seismicheskikh otklikov ot krivolineinykh geologicheskikh granits na osnove ikh iavnogo vydeleniia”, Technologii seismorazvedki, 2016, no. 4, 45–51

[18] C.F. Richter, “An instrumental earthquake magnitude scale”, Bulletin of the Seismological Society of America, 25:1 (1935), 1–32