Sparse Q-compensation in the time domain with the hyperbolic penalty function

نویسندگان

  • Antoine Guitton
  • Jon Claerbout
چکیده

We adopt a simple time-dependent Q model where the spectrum deplets by the amount e−|ω|t/Q. From this spectrum, a Futterman wavelet is estimated at each time sample by spectral factorization. We form a matrix of these wavelets to build a constant Q attenuation model. We invert these matrices to remove the effect of Q on synthetic and field data sets. To stabilize the inversion, we add a sparseness constraint using the hyperbolic penalty function, thus yielding spiky Q-compensated reflectivity series. Without the constraint, the inversion usually fails to recover any useful information.

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تاریخ انتشار 2017