Abstract
Nowadays, seismic survey is the most popular method for searching of oil and gas deposits. One of the promising technologies used in Arctic region is the creation of the artificial ice island. It can be used as a platform for equipment placing. In this chapter, we enhanced the ice island mechanical model and the numerical method. To describe its dynamic behavior, the theory of linear elasticity, acoustic, Maxwell viscoelastic and Kukudzhanov elastoviscoplastic models are utilized. The grid-characteristic method on rectangular grids was used for solving the governing hyperbolic system of equations. For the construction of new higher order hybrid schemes, the grid-characteristic monotonicity criterion and quasi-monotonic schemes were used. The scheme’s behavior on continuous and discontinuous solutions was thoroughly investigated. The best hybrid scheme was finally used for the simulation of seismic survey from ice island in a two-dimensional model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Crawford, A.J., Mueller, D.R., Humphreys, E.R., Carrieres, T., Tran, H.: Surface ablation model evaluation on a drifting ice island in the Canadian Arctic. Cold Reg. Sci. Technol. 110, 170–182 (2015)
Crawford, A., Crocker, G., Mueller, D., Desjardins, L., Saper, R., Carrieres, T.: The canadian ice island drift, deterioration and detection (CI2D3) database. J. Glaciol. 64(245), 517–521 (2018)
C-CORE. Ice island study. Final report. Prepared for Minerals Management Service, US Department of the Interior. Prepared by C-CORE. Report No. R-05–014- 241 v1.0, (2005)
Petrov, I.B., Muratov, M.V., Sergeev F.I.: Elastic wave propagation modeling during exploratory drilling on artificial ice island. Appl. Math. Comput. Mech. Smart Appl. 171–183 (2021)
Muratov, M.V., Biryukov, V.A., Konov, D.S., Petrov, I.B.: Mathematical modeling of temperature changes impact on artificial ice islands. Radioelectron. Nanosyst. Inf. Technol. 13, 79–86 (2021)
Favorskaya, A.V., Petrov, I.B.: Wave responses from oil reservoirs in the Arctic shelf zone. Dokl. Earth Sci. 466(2), 214–217 (2016)
Stognii, P., Epifanov, V., Golubev, V., Beklemysheva, K., Miryaha, V.: The numerical modelling of dynamic processes in the ice samples using the grid-characteristic method. Proceedings of the International Conference on Port and Ocean Engineering under Arctic Conditions, POAC, 2021-June (2021)
Golubev, V.I., Shevchenko, A.V., Petrov, I.B.: Application of the Dorovsky model for taking into account the fluid saturation of geological media. J. Phys. Conf. Ser. 1715(1), № 012056 (2021)
Golubev, V.I., Vasyukov, A.V., Churyakov, M.: Modeling wave responses from thawed permafrost zones. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds.) Smart Modelling For Engineering Systems. SIST, vol. 214, pp. 137–148. Springer, Singapore (2021)
Nikitin, I.S., Golubev, V.I., Golubeva, Y.A., Miryakha, V.A.: Numerical comparison of different approaches for the fractured medium simulation. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds.) Smart Modelling For Engineering Systems. SIST, vol. 214, pp. 87–99. Springer, Singapore (2021)
Golubev, V., Nikitin, I., Golubeva, Y., Petrov, I.: Numerical simulation of the dynamic loading process of initially damaged media. AIP Conference Proceedings 2309, № 0033949 (2020)
Golubev, V., Nikitin, I., Ekimenko, A.: Simulation of seismic responses from fractured MARMOUSI2 model. AIP Conference Proceedings 2312, № 050006 (2020)
Argatov, I.: Mathematical modeling of linear viscoelastic impact: application to drop impact testing of articular cartilage. Tribol. Int. 63, 213–225 (2013)
Kukudzhanov, V.N., Levitin, A.L.: Numerical modeling of cutting processes for elastoplastic materials in 3D-statement. Mech. Solids 43, 494–501 (2008)
Zhu, J., Qiu, J.: A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 318, 110–121 (2016)
Harari, I., Hughes, T.J.R.: Finite element methods for the Helmholtz equation in an exterior domain: model problems. Comput. Meth. Appl. Mech. Eng. 87(1), 59–96 (1991)
Golubev, V.I., Shevchenko, A.V., Khokhlov, N.I., Nikitin, I.S.: Numerical investigation of compact grid-characteristic schemes for acoustic problems. J. Phys. Conf. Ser. 1902(1), № 012110 (2021)
Fridrichs, K.O.: Symmetric hyperbolic linear differential equations. IBID 2, 345–392 (1954)
Harten, A.: High resolution schemes for hyperbolic conservation laws. Comput. Phys. 49(3), 357–393 (1987)
Shu, C.-W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. Adv. Numer. Approx. Nonlinear Hyperb. Equ. 325–432 (2006)
Kholodov, A.S., Kholodov, Y.A.: Monotonicity criteria for difference schemes designed for hyperbolic equations. Comput. Math. and Math. Phys. 46, 1560–1588 (2006)
Kholodov, A.S.: The construction of difference schemes of increased order of accuracy for equations of hyperbolic type. USSR Comput. Math. Math. Phys. 20(6), 234–253 (1980)
Acknowledgments
This work was supported by the Russian Science Foundation, grant number 19-11-00023.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Golubev, V.I., Guseva, E.K., Petrov, I.B. (2022). Application of Quasi-monotonic Schemes in Seismic Arctic Problems. In: Favorskaya, M.N., Nikitin, I.S., Severina, N.S. (eds) Advances in Theory and Practice of Computational Mechanics. Smart Innovation, Systems and Technologies, vol 274. Springer, Singapore. https://doi.org/10.1007/978-981-16-8926-0_20
Download citation
DOI: https://doi.org/10.1007/978-981-16-8926-0_20
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-8925-3
Online ISBN: 978-981-16-8926-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)