Fractal mechanical network based time domain viscoacoustic wave equation

Guangchi Xing, Tieyuan Zhu

Research output: Contribution to conferencePaperpeer-review

8 Scopus citations

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

All Science Journal Classification (ASJC) codes

  • Geophysics

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