Patent ID: 6038197
Filing Date: 2000-03-14
Classification: G01V

Abstract:
A method for inverting a seismic signal, comprising the steps of:representing an input seismic signal as an input vector i(t) of length m+n-1, an output seismic signal as an output vector o(t) of length m, and a finite impulse response filter as a solution vector u(t) of length n, satisfying a convolutional equationi(t)Xu(t)=o(t);calculating an m.times.n Toeplitz matrix T(t,.tau.) corresponding to i(t), satisfying a matrix equationT(t,.tau.).multidot.u(t)=o(t);transforming both sides of the matrix equation to the frequency domain, to generate a transformed equation;spectrally pruning both sides of the transformed equation, to generate a pruned equation; andsolving the pruned equation.