Parallel POCS Seismic Interpolation With Frequency-Band Thresholding

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Solution Overview

Problem

POCS interpolation algorithms for seismic data are computationally expensive and time-consuming, limiting their application to datasets that could benefit from improved efficiency and accuracy.

Innovation Solution

A parallelized POCS interpolation algorithm that thresholds across all frequency bands using maximum threshold values, significantly reducing the number of iterations required and enhancing accuracy in seismic data generation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional POCS interpolation algorithms are used for seismic data processing, then interpolation accuracy is improved, but computational cost and processing time increase significantly

Engineering Contradiction:

Improveinterpolation accuracyVSAvoidprocessing time

Core Design Contradiction:

Measurement precisionVSLoss of time

Solution Approach 1:

The patent segments the frequency spectrum into multiple bands and processes each band independently through parallel POCS interpolation operations. This segmentation allows the computational workload to be divided across multiple frequency bands, enabling parallel processing that reduces overall processing time while maintaining the accuracy benefits of POCS interpolation for each segment

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent performs preliminary thresholding of the seismic data in the frequency domain before applying the POCS interpolation algorithm. By pre-processing the data to identify and threshold significant frequency components, the algorithm converges faster during the iterative POCS process, reducing the number of iterations needed and thereby decreasing processing time while preserving interpolation accuracy

Inventive Principle:

Principle #10Preliminary action

2Measurement precision

If traditional POCS interpolation algorithms are used for seismic data processing, then interpolation accuracy is improved, but computational complexity increases

Engineering Contradiction:

Improveinterpolation accuracyVSAvoidcomputational complexity

Core Design Contradiction:

Measurement precisionVSDevice complexity

Solution Approach 1:

The patent divides the complex POCS interpolation problem into smaller sub-problems by segmenting the frequency spectrum into multiple bands. Each band is processed independently with its own simplified POCS iteration, reducing the computational complexity of each individual processing unit while the parallel combination of all bands achieves the overall interpolation accuracy

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent applies thresholding that retains only the most significant frequency components above a certain threshold, effectively performing a partial processing approach. By focusing computational resources on only the dominant frequency components rather than processing the entire spectrum with equal detail, the algorithm reduces computational complexity while maintaining sufficient interpolation accuracy for seismic data reconstruction

Inventive Principle:

Principle #16Partial or excessive action

Data Source

PatentEP4078245B1Enhanced projection on convex sets for interpolation and deblending

Publication Date: 2026.02.25 BP CORP NORTH AMERICA INC

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AI summary

Seismic data may provide valuable information with regard to the description such as the location and/or change of hydrocarbon deposits within a subsurface region of the Earth. The present disclosure generally discusses techniques that may be used by a computing system to interpolate or deblend data utilizing a projection on convex sets (POCS) interpolation algorithm. The utilized POCS interpolation algorithm operates in parallel for frequency of a set of frequencies of a seismic frequency spectrum.