Geodesic
The numerical modeling of the elastic waves
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 3, pp. 325-338.

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The shallow gas in the ground geological layers of the water space is of great danger for the drilling rigs in the case of an accident opening of the gas deposits. Gas starts rising towards the surface of water, and sooner or later, the gas emission into the atmosphere threatens the environment. It is very important to be able to forecast the gas emissions in order to prevent the catastrophic consequences with the destruction of drilling rigs and people fatalities. This paper presents the results for the numerical modeling of seismic waves propagation in models with gas deposits through the layered soil towards the surface of water for the 3D case. The modeling was carried out for the 4-year period for the layers, which are located at the depth of 1000 m from the bottom of the sea. The results of the computations (the wave pictures and seismograms) show the approach of gas to the surface of water for the 4th year of the computations. The consistency of the results for the 3D problem with the results for the 2D problem, early obtained by the authors, is very important for the further research into the area in question. 
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P. V. Stognii; N. I. Khokhlov; I. B. Petrov. The numerical modeling of the elastic waves. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 3, pp. 325-338. http://geodesic.mathdoc.fr/item/SJVM_2020_23_3_a6/

[1] S. G. Mironyuk, “Morskie inzhenernye izyskaniya i otsenka opasnosti subakval'nyh geologicheskih protsessov”, Inzhenernye izyskaniya, 4 (2014), 60–64

[2] B. L. Aleksandrov, Anomal'no vysokie plastovye davleniya v neftegazonosnyh basseinah, Nedra, M., 1987

[3] M. Hovland, A. G. Judd, Seabed Pockmarks, Seepages. Impact on Geology. Biology and the Marine Environment, Graham and Trotman, London, 1988

[4] A. Judd, M. Hovland, Seabed Fluid Flow: The Impact on Geology, Biology and the Marine Environment, Cambridge, 2007

[5] V. L. Syvorotkin, “Glubinnaya degazatsiya Zemli i geoekologicheskie problemy prigranichnyh territorii Rossii”, Al'manah Prostranstvo i Vremya, 3:1, Spets. vypusk “Prostranstvo i vremya granits” (2013), 1–19

[6] V. I. Bogoyavlenskii, V. Yu. Kerimov, O. O. Ol'hovskaya, R. N. Mustaev, “Povyshenie effektivnosti i bezopasnosti poiskov, razvedki i razrabotki mestorozhdenii nefti i gaza na akvatorii Ohotskogo morya”, Territoriya Neftegaz, 10 (2016), 24–32

[7] M. Boogaard, G. Hoetz, “Seismic characterisation of shallow gas in the Netherlands”, Abstract FORCE Seminar, Stavanger, 2015

[8] S. I. Rokos, Gazonasyschennye otlozheniya verhnei chasti razreza Barentsevo-Karskogo shel'fa, Avtoreferat dis. ... kand. geogr. nauk: 25.00.28, Murmansk, 2009

[9] P. V. Stognii, N. I. Khokhlov, “2D seismic prospecting of gas pockets”, Smart Innovations, Systems and Technologies, 133 (2019), 156–166 | DOI

[10] P. Stognii, A. Breus, N. Khokhlov, “Numerical modelling of seismic waves spread with the presence of gas layers in the Arctic region”, Proc. 20th Conference on Oil and Gas Geological Exploration and Development, Geomodel 2018, 2018, 465–469

[11] P. V. Stognii, D. I. Petrov, N. I. Khokhlov, I. B. Petrov, “Simulation of seismic processes in geological exploration of Arctic shelf”, Russ. J. Numer. Anal. Math. Model., 32:6 (2017), 381–392 | DOI | MR | Zbl

[12] V. Novatskii, Teoriya uprugosti, Per. s pol'sk. B.E. Pobedri, Mir, M., 1975

[13] K. M. Magomedov, A. S. Kholodov, Grid-Characteristic Numerical Methods, Nauka, M., 1988 | MR

[14] N. Khokhlov, P. Stognii, “Novel approach to modeling the seismic waves in the areas with complex fractured geological structures”, Minerals, 10:2 (2020), 122 | DOI

[15] V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Numerical simulation of seismic activity by the grid-characteristic method”, Computational Mathematics and Mathematical Physics, 53:10 (2013), 1523–1533 | DOI | MR

[16] A. S. Holodov, Ya. A. Holodov, “O kriteriyah monotonnosti raznostnyh skhem dlya uravnenii giperbolicheskogo tipa”, Zhurn. vychisl. matem. i mat. fiziki, 46:9 (2006), 1638–1667 | MR

[17] A. M. Ivanov, N. I. Khokhlov, “Parallel implementation of the grid-characteristic method in the case of explicit contact boundaries”, Computer Research and Modeling, 10:5 (2018), 667–678 | DOI

[18] V. I. Golubev, I. B. Petrov, N. I. Hohlov, K. I. Shul'ts, “CHislennyi raschet volnovyh protsessov v treschinovatyh sredah na geksaedral'nyh setkah setochno-harakteristicheskim metodom”, Zhurn. vychisl. matem. i mat. fiziki, 55:3 (2015), 512–522 | Zbl

[19] A. Favorskaya, V. Golubev, N. Khokhlov, “Two approaches to the calculation of air subdomains: theoretical estimation and practical results”, Procedia Computer Science, 126 (2018), 1082–1090 | DOI

[20] V. I. Bogoyavlenskii, “Ugroza katastroficheskih vybrosov gaza iz kriolitozony Arktiki. Voronki Yamala i Taimyra”, Burenie i neft', 9 (2014), 13–18