Wavelet transform-based high frequency continuation method
A wavelet transform and high-frequency technology, applied in the field of high-frequency continuation based on wavelet transform, can solve problems such as the inability to guarantee fidelity and signal-to-noise ratio, migration imaging and inversion, and the impact of reservoir description, etc., to achieve improved resolution The effect of high rate and high reliability
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[0046] Below in conjunction with accompanying drawing, the present invention is described in further detail:
[0047] The invention can effectively improve the resolution of pre-stack and post-stack data under the premise of protecting amplitude characteristics and signal-to-noise ratio, and provide high-quality basic data for high-resolution seismic imaging and fine reservoir interpretation.
[0048] The present invention provides a high-frequency continuation method for signal processing, and the specific implementation steps are:
[0049] (1) Classical wavelet transform
[0050] Let x(t) be a square-integrable function denoted as (x(t)∈L 2 (R)), is a function of the basic wavelet or mother wavelet (motherwavelet). but
[0051]
[0052] Called the wavelet transform of x(t). In the formula, a>0 is the scale factor, and τ is the reflection displacement, and its value can be positive or negative. The symbol represents the inner product, and its meaning is (the supers...
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