A Ghost Wave Suppression Method for Wave Equation Based on Taylor Expansion

Abstract

The invention relates to a wave equation ghost wave suppression method based on Taylor expansion. The wave equation ghost wave suppression method is characterized by comprising the steps of: (1) representing seismic data containing a ghost wave as superposition of a primary wave and the ghost wave, and acquiring a primary wave expression expressed by means of a ghost wave operator G; (2) subjecting the ghost wave operator G to Taylor expansion to obtain a primary wave expression expressed by means of a wave field extrapolation matrix F; (3) and calculating to obtain the wave field extrapolation matrix F, and substituting the wave field extrapolation matrix F into the primary wave expression in the step (2) to obtain a primary wave after ghost wave suppression. The ghost wave suppression can be widely applied to the field of ghost wave suppression of seismic data.

Description

technical field [0001] The invention relates to a wave equation ghost suppression method based on Taylor expansion, which belongs to the field of seismic data processing. Background technique [0002] During the seismic data acquisition process of offshore streamers, the streamers are generally placed at a certain depth below the sea level. Due to the strong reflection of the sea level, the streamer acquisition records have strong ghost reflections, resulting in the notch effect of the seismic data spectrum, which greatly affects the Data quality, seismic exploration generally refers to this kind of ghost reflection as ghost wave. Ghost waves are generally not well imaged and will cause a large amount of migration noise in the migration profile. Therefore, ghost wave suppression is a key link in data processing of offshore seismic exploration. [0003] In the past ten years, in order to effectively suppress ghost waves and obtain broadband seismic data, a series of ghost w...

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Problems solved by technology

These special acquisition methods are subject to many restrictions in the field operation conditions. For example, the difficulty of controlling the source and cables increases during the implementation of field acquisition, which leads to a significant increase in acquisition costs; (2) related to processing technology, the common method is to Wave suppression is regarded as an inversion problem and solved by least squares

Because there is a singularity problem in the direct inversion of the ghost wave operator, in order to stabilize the solution, the usual method is to carry out regularization constraints. However, due to the introduction of the regularization term in this method, the accuracy of ghost wave suppression is reduced, and the signal-to-noise ratio of the suppressed data lower

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