Fractal mechanical network based time domain viscoacoustic wave equation

Guangchi Xing, Tieyuan Zhu

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

Seismic waves propagating in the Earth media exhibit an approximate constant-Q behavior in seismic frequency bands and can be parameterized by the frequency independent Q (constant-Q) model. The constant-Q model that is derived mathematically lacks a physical basis. In this study, we propose a fractal mechanical network model with alternating springs and dashpots to provide this mathematical model a physical motivation. With this, we derive a new time domain viscoacoustic wave equation where fractional Laplacian power terms are independent of the model heterogeneity. This equation can characterize the heterogeneous Q models accurately and computationally efficiently.

Original languageEnglish (US)
Pages3994-3998
Number of pages5
DOIs
StatePublished - Jan 1 2019
Event88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018 - Anaheim, United States
Duration: Oct 14 2018Oct 19 2018

Other

Other88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018
CountryUnited States
CityAnaheim
Period10/14/1810/19/18

Fingerprint

wave equation
wave equations
fractals
seismic waves
mathematical models
seismic wave

All Science Journal Classification (ASJC) codes

  • Geophysics

Cite this

Xing, G., & Zhu, T. (2019). Fractal mechanical network based time domain viscoacoustic wave equation. 3994-3998. Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States. https://doi.org/10.1190/segam2018-2995782.1
Xing, Guangchi ; Zhu, Tieyuan. / Fractal mechanical network based time domain viscoacoustic wave equation. Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States.5 p.
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Xing, G & Zhu, T 2019, 'Fractal mechanical network based time domain viscoacoustic wave equation' Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States, 10/14/18 - 10/19/18, pp. 3994-3998. https://doi.org/10.1190/segam2018-2995782.1

Fractal mechanical network based time domain viscoacoustic wave equation. / Xing, Guangchi; Zhu, Tieyuan.

2019. 3994-3998 Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States.

Research output: Contribution to conferencePaper

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Xing G, Zhu T. Fractal mechanical network based time domain viscoacoustic wave equation. 2019. Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States. https://doi.org/10.1190/segam2018-2995782.1