| 摘要 |
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 gi(t) for 1<i<n as produced by sound wave detectors located at different depths z1, ..., zn in a borehole in response to sound waves being emitted from a source of 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.Ht.Dz] where: Id is the identity operator; epsilon = +1 (or -1); B is a normalization factor whose value depends on the signal g(z,t) to which the operator A is applied; Ht is the one-dimensional Hilbert operator relating to the variable t; and Dz is a differentiation operator relating to the variable z. |
