Power-law frequency-dependent Q-compensated frequency-domain reverse time migration
摘要
Seismic wavefields propagating through real Earth media are subject to viscoacoustic phenomena such as amplitude attenuation and phase dispersion, which inevitably degrade imaging resolution. However, the widely used constant-Q model fails to accurately describe wavefield characteristics under high-temperature and high-pressure conditions, where related imaging reports remain scarce. To address this limitation, we introduce the power-law frequency-dependent Q model, which provides a more realistic description of viscoacoustic behavior in such environments. Building upon this model, we develop a power-law frequency-dependent Q-compensated frequency-domain reverse time migration (power-law QRTM). To mitigate the instability introduced by high-frequency components during Q-compensation, we propose a stabilized reflectivity-based imaging condition. Comparisons of wavefields simulated in acoustic, constant-Q viscoacoustic, and power-law viscoacoustic media reveal distinct differences in velocity dispersion and amplitude attenuation, underscoring the necessity of conducting imaging in power-law viscoacoustic settings. Numerical imaging experiments further demonstrate that the proposed power-law QRTM effectively compensates for power-law frequency-dependent viscoacoustic effects. Compared with imaging references obtained by acoustic RTM applied to acoustic data, our method yields more accurate amplitude and spectral characteristics than that of acoustic RTM applied to power-law viscoacoustic data. Importantly, it also avoids the interpretational errors that arise when applying acoustic RTM to viscoacoustic data.