Seismic Data Clock Drift Estimation With Nonlinear Modeling
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Solution Overview
Problem
Current methods for correcting clock drift in seismic data sampling assume a linear drift, which is not accurate, leading to significant errors in dating seismic data samples.
Innovation Solution
A method and system for estimating clock drift using non-linear polynomial equations, specifically of order 2 or 3, to accurately correct for clock drift in seismic data collection, applicable to various types of clocks, including quartz and atomic clocks, by measuring and applying polynomial laws to the clock's instantaneous frequency or phase.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If linear correction methods are used for clock drift, then the correction process is simple, but the dating precision of seismic data samples deteriorates
Solution Approach 1:
The patent changes the mathematical model parameter from linear to polynomial (order 2 or higher) to better represent the actual non-linear clock drift behavior. This parameter change in the correction function improves dating precision while maintaining reasonable computational complexity
Solution Approach 2:
The patent replaces the simple linear correction mechanism with a polynomial-based correction system that uses measured phase errors at different times to calculate drift coefficients, thereby substituting a more accurate mathematical model for the inadequate linear approach
2Measurement precision
If polynomial correction methods are used for clock drift, then the dating precision of seismic data samples is improved, but the correction process complexity increases
Solution Approach 1:
The patent applies polynomial correction of order 2 or higher, which provides sufficient accuracy for the application while avoiding excessive complexity. This partial application of higher-order correction achieves the needed precision without implementing unnecessarily complex high-order models
Solution Approach 2:
The patent uses feedback from measured phase errors at multiple time points to calculate drift coefficients, which are then applied to correct dating errors. This feedback mechanism enables accurate polynomial correction while maintaining a systematic and manageable correction process
Data Source
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AI summary
The method for estimating the drift over time of a physical operating parameter of a clock for dating seismic data samples associated with a seismic data collection node involves measuring (10) at least one quantity associated with the clock, at predetermined instants or during predetermined time periods, and applying (12), to this quantity, a predetermined non-linear law of variation of this quantity that depends on the values collected during the measurement step (10), so as to obtain an estimation of the drift over time of the physical operating parameter.