TY - CONF
T1 - Fractal mechanical network based time domain viscoacoustic wave equation
AU - Xing, Guangchi
AU - Zhu, Tieyuan
N1 - Funding Information:
We would like to thank B. Treeby and B. Cox for their open source software k-Wave (http://www.k-wave.org). This study was supported by the start-up funding from the Department of Geosciences at the Pennsylvania State University, a Seed Grant award from the Institute for CyberScience at the Pennsylvania State University, and the National Energy Technology Laboratory of the U.S. Department of Energy, under the U.S. DOE Contract No. DE-FE0031544.
Publisher Copyright:
© 2018 SEG.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85059397618&partnerID=8YFLogxK
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U2 - 10.1190/segam2018-2995782.1
DO - 10.1190/segam2018-2995782.1
M3 - Paper
AN - SCOPUS:85059397618
SP - 3994
EP - 3998
T2 - 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018
Y2 - 14 October 2018 through 19 October 2018
ER -