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Rotation-Free Scalar Calibration of Cubic Magnetic Gradient Tensor Array Using Constant-Magnitude Magnetic Fields

Chen Wang1, Ziqiang Yuan1, Gaigai Liu1

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Summary
This summary is machine-generated.

This study introduces a rotation-free calibration for magnetic gradient tensor (MGT) arrays, improving accuracy and practicality. The new method significantly reduces calibration errors, offering a viable solution for large-scale MGT systems.

Keywords:
Helmholtz coil systemconstant-magnitude magnetic fieldfluxgate magnetometer arraymagnetic gradient tensor (MGT)pseudo-gradient suppression

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Area of Science:

  • Geophysics
  • Sensor Technology
  • Calibration Techniques

Background:

  • Accurate calibration is crucial for magnetic gradient tensor (MGT) array performance.
  • Traditional methods require mechanical rotation, which is impractical and costly for large-scale cubic MGT arrays.
  • Manual rotation introduces control difficulties and potential array-center offsets.

Purpose of the Study:

  • To propose a novel rotation-free scalar calibration framework for cubic MGT arrays.
  • To address the limitations of existing mechanical rotation-based calibration methods.
  • To develop a hierarchical algorithm for estimating sensor and array-level errors.

Main Methods:

  • Utilized a tri-axial Helmholtz coil system to generate magnetic fields with randomized orientations.
  • Implemented ambient magnetic drift compensation.
  • Developed a hierarchical calibration algorithm to identify intrinsic sensor errors and misalignment errors.

Main Results:

  • Achieved a 99.87% reduction in the joint tensor invariant CT, from 9.07×10³ nT/m to 11.51 nT/m.
  • Reduced the mean and RMS of the joint CT by 62.7% and 63.1% compared to rotation-based methods.
  • Demonstrated improved spatial consistency of the MGT array.

Conclusions:

  • The proposed rotation-free framework offers a practical and effective calibration solution for large-scale cubic MGT arrays.
  • This method overcomes the cost and practicality issues associated with mechanical rotation.
  • The enhanced accuracy and spatial consistency are vital for reliable MGT system performance.