A linear model for attenuation of waves is presented, with Q, or the portion of energy lost during each cycle or wavelength, exactly independent of frequency. The wave propagation is completely specified by two parameters, e.g., Q and c0, a phase velocity at an arbitrary reference frequency...
Constant Q-wave propagation and attenuation Einar Kjartansson Modeling acoustic wave propagation in heterogeneous attenuating media using decoupled fractional Laplacians Tieyuan Zhu / Jerry M. Harris Time-domain Modeling of Constant-Q Seismic Waves Using Fractional Derivatives José M. Carcione / ......
An example shows that the proposed wave equation describes the constant-Q attenuation and velocity dispersion behaviour observed in Pierre Shale. Finally, we consider a plane-layer model and the Marmousi model to show how the new formulation applies to inhomogeneous media. 展开 ...
We derive a time-domain lossy wave equation based on Kjartansson's constant-Q model, which is commonly used in seismic exploration. The derived governing e... T Zhu,JM Harris - 《Development》 被引量: 0发表: 2002年 加载更多研究点推荐 constant-Q seismic propagation seismic wave attenuation ...
A linear model for attenuation of waves is presented, with Q, or the portion of energy lost during each cycle or wavelength, exactly independent of frequency. The wave propagation is completely specified by two parameters, e.g., Q and c0, a phase velocity at an arbitrary reference frequency...
To simulate the attenuation behaviors of seismic waves, we develop a pseudo-spectral time-domain (PSTD) method to solve a CQ viscoacoustic wave equation. This method is nearly fourth-order accurate in time. Compared to the conventional temporal second-order PSTD method, the new PSTD scheme is ...
Seismic attenuationWave propagationWe derive a time-domain differential equation for modelling seismic wave propagation in constant-Q viscoelastic media based on fractional spatial derivatives, specifically Laplacian differential operators of fractional order. The stress鈥搒train relation is derived from the ...
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 ...
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation Earth introduces strong attenuation and dispersion to propagating waves. The time-fractional wave equation with very small fractional exponent, based on Kj... X Guo,S Jiang,Y...
AttenuationModellingSeismicWaveConstant Q, also called frequency-independent Q, is a phenomenological assumption\noften used in practice for dissipative wave propagation in both forward and\ninverse seismic modelling. A constant Q dissipative model generally results in a temporal\nconvolution-type wave ...