Down-Going Annihilation Operator for Water-Wave Seismic Imaging

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Solution Overview

Problem

Conventional seismic data processing methods, such as DDD and UDD, face limitations in accurately removing the water-wave from down-going data, leading to poor imaging, especially in shallow sections, due to assumptions about lateral shift invariance and receiver spacing.

Innovation Solution

The use of a down-going annihilation operator to derive a water-wave prediction by transforming the down-going wavefield and estimated water-wave into the plane-wave domain, followed by calculating the annihilation operator and transforming it back to the space-time domain, effectively reversing the polarity of the water-wave and attenuating it to improve imaging.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If down/down deconvolution (DDD) is used to calculate reflectivity, then the method can process seismic data, but the water-wave must be attenuated which leads to poor imaging in shallow sections and deep-water areas

Engineering Contradiction:
Improvereflectivity estimation accuracyVSAvoidimaging quality in shallow sections
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent extracts and removes the water-wave component from the down-going wavefield using an annihilation operator. By specifically targeting and eliminating the water-wave (which causes harmful interference in shallow sections), the method preserves the primary seismic signals while removing the detrimental effect, thus improving imaging quality in shallow and deep-water areas without sacrificing reflectivity estimation accuracy

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The annihilation operator serves as an intermediary tool that mediates between the down-going wavefield and the final reflectivity image. This operator selectively annihilates the water-wave component while preserving other seismic signals, enabling accurate reflectivity estimation without the need for manual water-wave attenuation and its associated imaging degradation

Inventive Principle:
Principle #24Intermediary (Mediator)

2Productivity

If conventional DDD method is used, then processing can be performed, but receiver spacing limitations reduce imaging quality

Engineering Contradiction:
Improvedata processing capabilityVSAvoidimaging precision with sparse receivers
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The annihilation operator method is self-sufficient in that it directly processes the down-going wavefield to remove water-waves without requiring additional data or complex preprocessing steps. This self-service capability allows the method to maintain high imaging precision even with sparse receiver spacing, as it does not rely on dense sampling to compensate for water-wave attenuation errors

Inventive Principle:
Principle #25Self-service

Data Source

PatentUS12613352B2Seismic data processing using a down-going annihilation operator
Publication Date: 2026.04.28 CGG SERVICES SAS
  • US12613352B2 patent drawing
  • US12613352B2 patent drawing
  • US12613352B2 patent drawing

AI summary

Methods and seismic data processing apparatuses use a down-going annihilation operator to generate an image from seismic data acquired over a water-covered subsurface formation. The down-going annihilation operator is derived using a down-going wavefield and an estimated water-wave extracted from the seismic data. The down-going annihilation operator may be derived in plane-wave domain.