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Elastic Wave Scattering on a Gas-Filled Fracture Perpendicular to Plane P-Wave Front

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Advances in Theory and Practice of Computational Mechanics

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 173))

Abstract

This chapter discusses the features of the scattering of plane P-waves on gas-filled fractures located along with the motion of the incident wave front. This problem has practical significance in the areas of nondestructive testing and seismic exploration, primarily in the area of railway nondestructive testing. This type of fractures falls into the blind zone. In this chapter, such types of reflected waves are considered that can be registered, and, thus, the blind zone of the recording equipment can be avoided. Analytical expressions for reflected waves amplitudes and scattering angles are obtained. To obtain these expressions, the Wave Logica approach was used. This approach combines the advantages of the analytical study of wave fields and study of the computational solution of the elastic wave equation. Comparison of the analytical expressions with visualized wave fields (wave patterns) at the stage of derivation of these analytical expressions greatly facilitates the study that allows to avoid mistakes and also demonstrates the accuracy of the applied computational method. In this chapter, the grid-characteristic numerical method was used for the numerical solution of the elastic wave equation.

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Acknowledgements

The reported study was funded by RFBR according to the research Project No. 18-31-20063.

Author information

Authors and Affiliations

  1. Moscow Institute of Physics and Technology (National Research University), 9, Institutsky per., Dolgoprudny, Moscow, 141700, Russian Federation

    Alena V. Favorskaya

  2. National Research Centre “Kurchatov Institute”, 1, Akademika Kurchatova pl., Moscow, 123182, Russian Federation

    Alena V. Favorskaya

  3. Scientific Research Institute for System Analysis of the RAS, 36(1), Nahimovskij pr., Moscow, 117218, Russian Federation

    Alena V. Favorskaya

Authors
  1. Alena V. Favorskaya
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Correspondence to Alena V. Favorskaya .

Editor information

Editors and Affiliations

  1. University of Technology Sydney, Sydney, Australia

    Lakhmi C. Jain

  2. Department of Informatics and Computer Techniques, Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  3. Institute of Computer Aided Design of the Russian Academy of Sciences (ICAD RAS), Moscow, Russia

    Ilia S. Nikitin

  4. Department of Numerical Mathematics and Computer Programming, Moscow Aviation Institute (National Research University), Moscow, Russia

    Dmitry L. Reviznikov

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Favorskaya, A.V. (2020). Elastic Wave Scattering on a Gas-Filled Fracture Perpendicular to Plane P-Wave Front. In: Jain, L., Favorskaya, M., Nikitin, I., Reviznikov, D. (eds) Advances in Theory and Practice of Computational Mechanics. Smart Innovation, Systems and Technologies, vol 173. Springer, Singapore. https://doi.org/10.1007/978-981-15-2600-8_16

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