Full-Waveform Inversion Deghosting for Marine Variable Depth Streamer Data
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Solution Overview
Problem
Existing deghosting methods for marine seismic data acquisition suffer from low accuracy and artifacts due to inaccuracies in ghost prediction, especially when using the Kirchhoff approximation for curved streamer receivers, which reduces the frequency bandwidth and imaging quality.
Innovation Solution
A method and system for full-waveform inversion deghosting using Lippmann-Schwinger equations to derive a new wave field extension operator, which is integrated into the Kirchhoff equation for accurate wave field extrapolation, and a ghost operator is calculated to separate primary reflections from ghost reflections, improving the accuracy of deghosted seismic data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If the Kirchhoff approximation is used for wave field extension with curved streamer receivers, then the calculation is simplified, but the predicted ghost has large error reducing deghosting accuracy
Solution Approach 1:
The patent transitions from the Kirchhoff approximation to the Lippmann-Schwinger integral equation, fundamentally changing the mathematical model parameters. This allows accurate handling of curved streamer geometries by properly accounting for wave field interactions with the curved receiver surface, thereby improving ghost prediction accuracy while maintaining computational feasibility through efficient numerical implementation.
2Stability of the object's composition
If the Kirchhoff integral is used for wave field extension with curved surface receivers, then the method remains consistent, but the predicted ghost has large error causing artifacts
Solution Approach 1:
The patent replaces the Kirchhoff integral equation with the Lippmann-Schwinger integral equation, substituting one mathematical framework with another that is better suited for the problem. The Lippmann-Schwinger equation properly handles the curved streamer geometry by incorporating the correct boundary conditions and wave field interactions, eliminating the large errors and artifacts produced by the Kirchhoff approximation while maintaining methodological rigor.
3Ease of operation
If traditional deghosting methods are used, then the process is simple, but the deghosted seismic data has low accuracy and is accompanied with artifacts
Solution Approach 1:
The patent introduces the Lippmann-Schwinger integral equation as an intermediary mathematical tool that bridges the gap between simple deghosting operations and accurate ghost prediction. By using this intermediate framework, the method achieves high accuracy in ghost prediction and deghosting results while maintaining a systematic and manageable computational approach, avoiding both oversimplification and excessive complexity.
Data Source
AI summary
A method, a system, and a device for full-waveform inversion deghosting for a marine variable depth streamer data acquisition are provided for solving existing problems that deghosted seismic data has low accuracy and is accompanied by artifacts due to a large error in ghost prediction. The provided method includes: acquiring seismic data, jointly solving Lippmann-Schwinger equations to obtain normal derivatives of an incident wave field and a wave field of a receiver surface, performing a wave field extrapolation by a Kirchhoff equation that includes only an integral on the receiver surface to obtain a wave field of a sea surface recorded by a horizontal streamer, calculating a ghost operator, and subjecting the ghosted wave field of the sea surface recorded by the horizontal streamer to full-waveform inversion deghosting to obtain deghosted seismic data. The provided method improves the accuracy and signal-to-noise ratio (SNR) of deghosted seismic data.