Estimation of Signal Propagation and Velocities for Media with Power-Law Attenuation

V. Rok

doi:10.3997/2214-4609.202011983

Estimation of Signal Propagation and Velocities for Media with Power-Law Attenuation
By V. Rok^1,2
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Affiliations: ¹ VNIGNI ² Dubna State University
Publisher: European Association of Geoscientists & Engineers
Source: Conference Proceedings, EAGE 2020 Annual Conference & Exhibition Online, Dec 2020, Volume 2020, p.1 - 5
DOI: https://doi.org/10.3997/2214-4609.202011983

Abstract

Summary

The problem of the propagation of signals under conditions of wave dispersion with a power-law attenuation is considered. It is shown that the spatiotemporal description of the transient waves, in this case, leads to a hereditary telegraph equation, the solution of which determines the monotonic continuous dependence of the delay of the observed prefrontal region of the signal on the exponent of the power-law decay law and estimates of this effect is obtained.

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2020-12-08

2024-04-25

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References

Holm, S.
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[2002] Part 3 in the book:Kurianov, Yu. A., Kukharenko, Yu. A., Rok, V. E.Theoretical Models in Seismoacoustics of Porous and Cracked Media. Institute of Geosystems, Moscow, (in Russian).
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Estimation of Signal Propagation and Velocities for Media with Power-Law Attenuation

Conference Proceedings 2020, 1 (2020); https://doi.org/10.3997/2214-4609.202011983

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Estimation of Signal Propagation and Velocities for Media with Power-Law Attenuation

Abstract

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Most Cited This Month Most Cited RSS feed

The natural combination of full and image‐based waveform inversion

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Characterizing the effect of elastic interactions on the effective elastic properties of porous, cracked rocks

Fracture detection by Gaussian beam imaging of seismic data and image spectrum analysis

Laboratory measurements of guided‐wave propagation within a fluid‐saturated fracture