Seismic signal velocity filtering

Details Seismic signal velocity filtering Seismic signal velocity filtering

1988-05-06

1989-07-25

Moskowitz, Nelson

Communications, electrical: acoustic wave systems and devices

Seismic prospecting

Land-reflection type

367 43, 364421, 364422, G01V 140, G01V 128

Patent

active

048520683

ABSTRACT:
A method of velocity filtering seismic signals and an installation for implementing the method. A two-dimensional signal g(z,t) is available built up from a set of signals .sub.i (t) for I>i>n as produced by sound wave detectors located at different depths z.sub.1, . . . z.sub.n in a borehole in response to sound waves being emitted from a source as seismic waves, with said detected signals including upgoing waves and downgoing waves. In order to reinforce the upgoing waves (or conversely the downgoing waves) in the signal g(z,t), an operator A is applied recursively to said signal, where: A=1/2[Id+.epsilon..B.H.sub.t.D.sub.z ] where: Id is the identity operator; .epsilon.=+1(or -1); B is normalization factor whose value depends on the signal g(z,t) to which the operator A is applied; H.sub.t is the one-dimensional Hilbert operator relating to the variable t; and D.sub.z is a differentiation operator relating to the variable z.

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