Abstract
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.
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This research is sponsored by the National “973” Project (No.2007CB209603) and by the “863” Project (No.2006AA06Z108).
Zhang Xianwen received his BS (2005) and MS (2007) degrees from the College of Geo-Exploration Science and Technology at Jilin University. He is currently studying for his PhD at Jilin University majoring in seismic attenuation and imaging.
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Zhang, X., Han, L., Zhang, F. et al. An inverse Q-filter algorithm based on stable wavefield continuation. Appl. Geophys. 4, 263–270 (2007). https://doi.org/10.1007/s11770-007-0040-9
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DOI: https://doi.org/10.1007/s11770-007-0040-9