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Implementation of a Reference Interferometer for Nanodetection
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Spatial filtering in ambient noise interferometry.

Olivier Carrière1, Peter Gerstoft1, William S Hodgkiss1

  • 1Scripps Institution of Oceanography, University of California San Diego, La Jolla, California 92093-0238.

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Summary
This summary is machine-generated.

This study introduces matrix-based spatial filters to improve the extraction of the empirical Green's function from ocean noise cross-correlations. These filters effectively remove directional source biases and noise, enhancing seismic data analysis.

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Area of Science:

  • Geophysics
  • Seismology
  • Array Signal Processing

Background:

  • Empirical Green's function retrieval from noise cross-correlations is theoretically sound but practically challenging in oceanic environments due to non-diffuse noise conditions.
  • Directional sources in the ocean can introduce significant bias into the retrieved Green's function, limiting its accuracy for seismic imaging and monitoring.

Purpose of the Study:

  • To develop and validate matrix-based spatial filtering techniques for removing unwanted contributions in ambient noise cross-correlations.
  • To address the limitations of diffuse noise assumptions in oceanic seismic studies by mitigating directional source effects.
  • To enable robust passive seismic wavefield separation and noise rejection using array processing.

Main Methods:

  • Design and application of matrix-based spatial filters using both matrix least-squares with low-rank approximation and convex optimization approaches.
  • Development of filter design solutions tailored for linear and planar seismic arrays.
  • Testing filters on real-world ocean-bottom seismic data from a linear array and simulated data from a planar array.

Main Results:

  • Successfully attenuated discrete interferer contributions in real-data cross-correlations from a linear array.
  • Achieved passive upgoing/downgoing wavefield separation with planar arrays using simulated data.
  • Demonstrated efficient rejection of horizontally propagating noise in planar array simulations.
  • Investigated the influence of array size and frequency band on the performance of filtered cross-correlations.

Conclusions:

  • Matrix-based spatial filtering offers a robust method for improving empirical Green's function retrieval in realistic oceanic noise conditions.
  • These filtering techniques are effective in mitigating directional source biases and separating wavefields passively.
  • The developed methods enhance the reliability of seismic data analysis from ocean-based arrays.