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Simulation of Propagation of Video Pulse Signals of GPR in the Earth’s Lithosphere

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Abstract

This paper presents the results of modeling the propagation of inharmonic signals from an antenna located on the Earth’s surface through the upper layer of the lithosphere and the reflection of these signals from various inhomogeneities in the lithosphere in the case when a video pulse signal of a special form is applied to the antenna. The model used in this study is based on an explicit scheme of numerical integration of Maxwell’s equations. In this scheme, the electric and magnetic fields are calculated at the same time points in the same nodes of the spatial grid and splitting in spatial directions and physical processes is also used. The paper studies what information about the nature of the heterogeneity of the lithosphere can be extracted from the shape of the reflected signal. The influence of the parameters of the video pulse signal on the amplitude and shape of the signals reflected from typical inhomogeneities of the lithosphere is also investigated. It is shown that some types of inhomogeneities can be determined by the shape of the reflected signal.

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REFERENCES

  1. A. B. Shvartsburg, “Single-cycle waveforms and non-periodic waves in dispersive media (exactly solvable models),” Phys.-Usp. 41, 77–94 (1998). https://doi.org/10.1070/pu1998v041n01abeh000331

    Article  Google Scholar 

  2. O. A. Gulevich, “About scanning depth in georadiolocation considering the phenomenon of interference,” Zh. Radioelektron., No. 9, 85–103 (2020). https://doi.org/10.30898/1684-1719.2020.9.8

  3. L. B. Volkomirskaya, O. A. Gulevich, and A. E. Reznikov, “The influence of the type of pulse on the possibility of logging radiosounding,” Russ. Geol. Geophys. 61, 1320–1329 (2020). https://doi.org/10.15372/rgg2019152

    Article  Google Scholar 

  4. A. Giannopoulos, “Modelling ground penetrating radar by GprMax,” Constr. Building Mater. 19, 755–762 (2005). https://doi.org/10.1016/j.conbuildmat.2005.06.007

    Article  Google Scholar 

  5. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. 14, 302–307 (1966). https://doi.org/10.1109/TAP.1966.1138693

    Article  Google Scholar 

  6. J. J. Simpson, “Current and future applications of 3-D global Earth-ionosphere models based on the full-vector Maxwell’s equations FDTD method,” Surv. Geophys. 30, 105–130 (2009). https://doi.org/10.1007/s10712-009-9063-5

    Article  Google Scholar 

  7. J. J. Simpson and A. Taflove, “A review of progress in FDTD Maxwell’s equations modeling of impulsive subionospheric propagation below 300 kHz,” IEEE Trans. Antennas Propag. 55, 1582–1590 (2007). https://doi.org/10.1109/tap.2007.897138

    Article  Google Scholar 

  8. D. L. Paul and C. J. Railton, “Spherical ADI FDTD method with application to propagation in the Earth ionosphere cavity,” IEEE Trans. Antennas Propag. 60, 310–317 (2012). https://doi.org/10.1109/tap.2011.2167940

    Article  MathSciNet  Google Scholar 

  9. Y. Yu and J. J. Simpson, “An E-J collocated 3-D FDTD model of electromagnetic wave propagation in magnetized cold plasma,” IEEE Trans. Antennas Propag. 58, 469–478 (2010). https://doi.org/10.1109/TAP.2009.2037706

    Article  MathSciNet  Google Scholar 

  10. A. N. Semenov and A. P. Smirnov, “Numerical modeling of Maxwells equations with dispersive materials,” Mat. Model. 25 (12), 19–32 (2013).

    MathSciNet  Google Scholar 

  11. I. V. Mingalev, O. V. Mingalev, O. I. Akhmetov, and Z. V. Suvorova, “Explicit splitting scheme for Maxwell’s equations,” Math. Models Comput. Simul. 11, 551–563 (2019). https://doi.org/10.1134/s2070048219040094

    Article  MathSciNet  Google Scholar 

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Correspondence to I. V. Mingalev.

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Suvorova, Z.V., Mingalev, I.V., Mingalev, O.V. et al. Simulation of Propagation of Video Pulse Signals of GPR in the Earth’s Lithosphere. Math Models Comput Simul 16, 254–266 (2024). https://doi.org/10.1134/S2070048224020182

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