Angle-Dependent Filtering Operator for Seismic Inversion
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Solution Overview
Problem
Seismic inversion processes often produce backscattering artifacts due to cross-correlation between source and receiver wavefields, leading to inaccurate models of subterranean structures and slow convergence in inversion processes.
Innovation Solution
A filtering operator is computed based on the angle between the propagating directions of the source and back-propagated receiver wavefields, which is iteratively applied to reduce backscattering artifacts and improve the accuracy of the structural model by filtering out unwanted cross-correlations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional inversion processes are used without filtering, then the inversion can be performed with simpler computations, but backscattering artifacts are produced leading to inaccurate models
Solution Approach 1:
The patent extracts and removes the harmful backscattering artifact component from the inversion computation by introducing a filtering operator that selectively eliminates contributions from wavefields propagating in opposite directions, thereby obtaining a cleaner model without the artifact while maintaining the overall inversion framework
Solution Approach 2:
The filtering operator applies different weighting based on the local propagation direction of wavefields, using angle-dependent filtering to selectively remove backscattering contributions in specific directional ranges while preserving useful signal components in other directions
2Productivity
If conventional inversion processes are used without filtering, then the computation can be performed faster, but convergence is slow
Solution Approach 1:
The patent converts the harmful backscattering artifact into a useful directional filter by exploiting the angular information of the wavefields, transforming the problematic cross-correlation signal into a guiding mechanism for the filtering operator that accelerates convergence
3Measurement precision
If filtering operator is applied to remove backscattering artifacts, then model accuracy improves, but computational complexity increases
Solution Approach 1:
The filtering operator is implemented as an angle-dependent parameter modification in the inversion formula, changing the weighting parameters based on wavefield propagation angles to selectively remove artifacts while maintaining computational efficiency through analytical formulation
Data Source
AI summary
To perform inversion to produce a model of a structure, a filtering operator based at least on an angle between a propagating direction of a source wavefield and a propagating direction of a back-propagated receiver wavefield is computed. The filtering operator is used in performing the inversion to produce the model of the structure.