Abstract

The magnetic gradient full-tensor measurement system is diverse, and the magnetometer array structure is complex. Aimed at the problem, seven magnetic gradient full-tensor measurement system models are studied in detail. The full-tensor measurement theories of the tensor measurement arrays are analyzed. Under the same baseline distance, the magnetic dipole model is used to simulate the measurement system. Based on different measurement systems, the paper quantitatively compares and analyzes the error of the structure. A more optimized magnetic gradient full-tensor measurement system is suggested. The simulation results show that the measurement accuracy of the planar measurement system is slightly higher than that of the stereo measurement system. Among them, the cross-shaped and square measurement systems have relatively smaller structural errors and higher measurement accuracy.

Highlights

  • Erefore, it is necessary to analyze and compare the magnetic gradient full-tensor measurement system to seek a more optimized system

  • This paper establishes the structural models of various magnetic gradient full-tensor measurement systems in detail

  • Magnetic Gradient Full-Tensor Measurement Elements e magnetic field is a vector field, and the spatial rate of change in each direction of the component is the tensor of magnetic gradient [17], which includes 9 elements in total

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Summary

Mathematical Problems in Engineering

The magnetic gradient full-tensor measurement systems constructed by the fluxgate magnetometer can be divided into two types. The configuration of the fluxgate magnetometer will have a great impact on the measurement of the magnetic gradient full tensor. It even directly affects the feasibility of measurement. Erefore, it is necessary to analyze and compare the magnetic gradient full-tensor measurement system to seek a more optimized system. Aiming at this problem, this paper establishes the structural models of various magnetic gradient full-tensor measurement systems in detail. E mag→netic gradient full tensor (G) of the magnetic field vector ( B ) can be shown as

Bzx Bzy Bzz
Bxx Bxy
Observation points
By Bx
Bx By
Square Regular tetrahedron shape
Conclusion
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