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 language | English (US) |
|---|---|
| Pages | 3994-3998 |
| Number of pages | 5 |
| DOIs | |
| State | Published - Jan 1 2019 |
| Event | 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018 - Anaheim, United States Duration: Oct 14 2018 → Oct 19 2018 |
Other
| Other | 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018 |
|---|---|
| Country | United States |
| City | Anaheim |
| Period | 10/14/18 → 10/19/18 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Geophysics
Cite this
}
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 conference › Paper
TY - CONF
T1 - Fractal mechanical network based time domain viscoacoustic wave equation
AU - Xing, Guangchi
AU - Zhu, Tieyuan
PY - 2019/1/1
Y1 - 2019/1/1
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
UR - http://www.scopus.com/inward/citedby.url?scp=85059397618&partnerID=8YFLogxK
U2 - 10.1190/segam2018-2995782.1
DO - 10.1190/segam2018-2995782.1
M3 - Paper
AN - SCOPUS:85059397618
SP - 3994
EP - 3998
ER -