Deconvolution of seismic records with optimization of weighted normalized quadratic functionals. 1. Temporal area
© Tyapkin Yu.K.
This paper is devoted to the general theory of seismic deconvolution that optimizes weighted normalized quadratic functionals as a measure of data resolution. The problem is solved in the time domain. For correctness, a restriction on the relative noise level is introduced in the solution. In this resolution measure, a family of power weighting functions (in module) is suggested for utilization due to its advantages over the others. The choice of such a measure is substantiated by certain shortcomings of the conventional Wiener criterion, which is the basis for filters of the same name. In the first place, these are noncoordination with the human visual system mechanism and integral dependence on both the degree of resolution and the signaltonoise ratio. The two limiting cases of the solution are analyzed, which lead either to noncorrect ideal inverse filtering or to energy filtering having a rather low resolving power. <<back 
