Stability is the key to inverse Q-filtering. In this paper we present a stable approach to inverse Q-filtering, based on the theory of wavefield downward continuation. It is implemented in a layered manner, assuming a...Stability is the key to inverse Q-filtering. In this paper we present a stable approach to inverse Q-filtering, based on the theory of wavefield downward continuation. It is implemented in a layered manner, assuming a layered-earth Q model. For each individual constant Q layer, the seismic wavefield recorded at the surface is first extrapolated down to the top of the current layer and a constant Q inverse filter is then applied to the current layer. When extrapolating within the overburden, a stable wavefield continuation algorithm in combination with a stabilization factor is applied. This avoids accumulating inverse Q-filter errors within the overburden. Within the current constant Q layer, we use Gabor spectral analysis on the signals to pick time-variant gain-constrained frequencies and then deduce the corresponding gain-constrained amplitudes to stabilize the inverse Q-filtering algorithm. The algorithm is tested and verified application to field data.展开更多
Attenuation compensation,which corrects the attenuation and dispersion of seismic waves,is one of the effective methods for improving seismic data resolution.In general,the attenuation compensation is achieved by an i...Attenuation compensation,which corrects the attenuation and dispersion of seismic waves,is one of the effective methods for improving seismic data resolution.In general,the attenuation compensation is achieved by an inverse Q-filter based on wave field continuation.In this paper,using the Futterman attenuation model,a method to compute synthetic seismogram is derived for an attenuation medium.Based on the synthetic method,the attenuation compensation problem is reduced to an inversion problem of the Fredholm integral equation and can be achieved by inversion.The Tikhonov regularization is used to improve inversion stability.The processing results of numerical simulation and real data show the effectiveness of the method.展开更多
基金This research is sponsored by the National"973"Project(No.2007CB209603)the"863"Project(No.2006AA06Z108)
文摘Stability is the key to inverse Q-filtering. In this paper we present a stable approach to inverse Q-filtering, based on the theory of wavefield downward continuation. It is implemented in a layered manner, assuming a layered-earth Q model. For each individual constant Q layer, the seismic wavefield recorded at the surface is first extrapolated down to the top of the current layer and a constant Q inverse filter is then applied to the current layer. When extrapolating within the overburden, a stable wavefield continuation algorithm in combination with a stabilization factor is applied. This avoids accumulating inverse Q-filter errors within the overburden. Within the current constant Q layer, we use Gabor spectral analysis on the signals to pick time-variant gain-constrained frequencies and then deduce the corresponding gain-constrained amplitudes to stabilize the inverse Q-filtering algorithm. The algorithm is tested and verified application to field data.
基金supported by National Basic Research Program of China (Grant No. 2007CB209604)National Science and Technology Major Project (Grant No. 2008ZX05024-001-11)
文摘Attenuation compensation,which corrects the attenuation and dispersion of seismic waves,is one of the effective methods for improving seismic data resolution.In general,the attenuation compensation is achieved by an inverse Q-filter based on wave field continuation.In this paper,using the Futterman attenuation model,a method to compute synthetic seismogram is derived for an attenuation medium.Based on the synthetic method,the attenuation compensation problem is reduced to an inversion problem of the Fredholm integral equation and can be achieved by inversion.The Tikhonov regularization is used to improve inversion stability.The processing results of numerical simulation and real data show the effectiveness of the method.