Approximating constant‐Q seismic propagation in the time domain

Geophysical Prospecting - Tập 61 Số 5 - Trang 931-940 - 2013
Tieyuan Zhu1, José M. Carcione2, Jerry M. Harris1
1Stanford University Stanford, California 94305 USA
2Istituto Nazionale di Oceanografia e di Geofisica Sperimentale (OGS), Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy

Tóm tắt

ABSTRACTIn this study, we investigate the accuracy of approximating constant‐Q wave propagation by series of Zener or standard linear solid (SLS) mechanisms. Modelling in viscoacoustic and viscoelastic media is implemented in the time domain using the finite‐difference (FD) method. The accuracy of numerical solutions is evaluated by comparison with the analytical solution in homogeneous media. We found that the FD solutions using three SLS relaxation mechanisms as well as a single SLS mechanism, with properly chosen relaxation times, are quite accurate for both weak and strong attenuation. Although the RMS errors of FD simulations using a single relaxation mechanism increase with increasing offset, especially for strong attenuation (Q = 20), the results are still acceptable for practical applications. The synthetic data of the Marmousi‐II model further illustrate that the single SLS mechanism, to model constant Q, is efficient and sufficiently accurate. Moreover, it benefits from less computational costs in computer time and memory.

Từ khóa


Tài liệu tham khảo

10.1190/1.1443744

Carcione J.M., 2007, Theory and Numerical Simulation of Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media

10.1190/1.3008548

Carcione J.M., 2002, Simulation of seismograms in a 2‐D viscoelastic Earth by pseudospectral methods, Geofísica Internacional, 44, 123, 10.22201/igeof.00167169p.2005.44.2.248

10.1111/j.1365-246X.1988.tb02010.x

10.1190/1.1442512

10.1111/j.1365-246X.1988.tb06706.x

Casula G., 1992, Generalized mechanical model analogies of linear viscoelastic behaviour, Bollettino di Geofisica Teorica ed Applicata, 34, 235

10.1190/1.1441945

10.1111/j.1365-246X.1984.tb06474.x

10.1190/1.1442386

Kang I.B., 1993, Effects of visco‐elasticity on seismic wave propagation in fault zones, near surface sediments, and inclusions, Bulletin of the Seismological Society of America, 83, 890, 10.1785/BSSA0830030890

10.1111/j.1365-2478.1993.tb00863.x

10.1111/j.1365-246X.2006.03193.x

10.1029/JB084iB09p04737

10.1785/0120030077

10.1190/1.2329864

10.1111/j.1365-246X.1976.tb01261.x

10.1190/1.2172306

10.1190/1.1438489

10.1190/1.1443701

10.1785/0120090263

10.1190/1.1444359

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Thông tin xuất bản

Geophysical Prospecting

Tập 61 Số 5

931-940

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