Magnetic dipole localization based on magnetic gradient tensor data at a single point

Yin, Gang; Zhang, Yingtang; Fan, Hongbo; Li, Zhining

doi:10.1117/1.jrs.8.083596

Cited by 35 publications

(12 citation statements)

References 13 publications

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“…As it has been mentioned in some literatures that EODA can be ignored when the observation distance is larger than three times the size of the magnetic object [8] [12][13] [14][15] [16], this paper focuses on the average dipole approximation error when ρ<3 or ρ=3, if the coil geometric size is used for normalization.…”

Section: Bquantify the Error Of Dipole Approximationmentioning

confidence: 99%

A Novel Design Method of Magnetic Dipole Simulator With High Fitting Accuracy

et al. 2022

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Dipole approximation is a common simplified method in magnetic field research, which is widely used in magnetic anomaly detection, control of magnetic device and magnetic field experiment. The accuracy of magnetic dipole approximation will determine the upper limit of related applications. Previous studies have shown that the dipole approximation of a typical magnetic dipole simulator (e.g., a solenoid coil) can lead to a positioning error of up to 50% in localization of magnetic object in near field. In order to solve this problem, this paper aims to design a coil structure that fits well with the standard magnetic dipole. Firstly, the structure of cylindrical solenoid with planar symmetry and rotational symmetry is optimized and analyzed. On this basis, a multi-layer solenoid structure with rotational symmetry and plane symmetry is proposed. Then, the coil structure is optimized by gradient descent method, taking the inner and outer radius, height, layer spacing and quantity of the solenoid as variables. Compared with the traditional coil, this coil structure can greatly reduce the error of dipole approximation, and has the advantages of large magnetic moment and small geometric size. Simulation results show that the positioning error percentage can be reduced to less than 0.2% when the new-type coil is tested in the same area.

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Section: Bquantify the Error Of Dipole Approximationmentioning

confidence: 99%

A Novel Design Method of Magnetic Dipole Simulator With High Fitting Accuracy

et al. 2022

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“…To compare the performance of the positioning, we also use the Euler inversion single-point the positioning method under the second-order magnetic tensor measurement proposed by Yin in [18] to solve the position vector of the magnetic dipole. The result is shown in figure 9.…”

Section: Simulationmentioning

confidence: 99%

“…It is possible for us to use the multi-point positioning method for magnetic object measurement [15][16][17], but the positioning accuracy is controlled by the heading line of surveys and requires extreme accuracy of the system orientation. Yin [18] constructed the relation formula between the first and second order tensor matrix and the position vector by deriving the Euler deconvolution equation, which eliminated the background field interference. This method requires the construction of a second-order tensor system, differential measurement of second-order tensor data is sensitive to measuring noise and sensor errors.…”

Section: Introductionmentioning

confidence: 99%

Magnetic object positioning method based on tensor spacial invariant relations

Shi

et al. 2020

Meas. Sci. Technol.

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We address the problem of extracting the position and the Euler angles of an underground object from measurements of the magnetic field above that object. The traditional Euler inversion positioning method requires us to make use of the high-order magnetic gradient tensor system and extract the second-order tensor data, but at the same time it will increase the sensitivity to errors and measurement noise, which reduces the positioning accuracy. To solve this problem, we propose a method that uses only first-order magnetic gradient tensor data and supplements the tensor spacial invariant relations to achieve a higher-precision positioning performance for magnetic object. We analyze the tensor invariants and the eigenvalues of the tensor matrix under a magnetic dipole source field, and derive two tensor spacial invariant relations: (1) the angle between magnetic moment and position vector is constant and can be represented by the tensor eigenvalues, and (2) the eigenvector of the absolute minimum eigenvalue is perpendicular to the magnetic moment and position vector, as well as the eigenvectors of remaining eigenvalues are coplanar to the magnetic moment and position vector. Hence, we compute a total four possible solutions of the position vector with respect to the four quadrants of a plane over the measuring center, and finally determine the true one based on the actual detection direction and measured magnetic field data. The results show that the proposed method has significantly higher detection accuracy and larger range under a same level noise condition than the Euler inversion positioning method. When positioning small-scale magnets (e.g. about 5 cm in diameter and 0.5 cm in thickness), we control the tri-axial coordinates accuracy with just the first-order magnetic gradient tensor system within 1 cm root mean square error.

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“…If the distance between the detection point and the magnetic source is greater than 2.5 times the size of the source, the magnetic source can be regarded as a magnetic dipole [13].…”

Section: Localization Algorithmmentioning

confidence: 99%

Drilling Localization and Error Analysis of Radial Horizontal Jet Drilling Based on Magnetic Gradient Tensor

et al. 2020

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To obtain the real-time drilling trajectory of radial horizontal jet drilling (RHJD), a magnetized nozzle localization method based on magnetic gradient tensor (MGT) is proposed. The MGT system consisting of five tri-axial magnetometers, a tri-axial accelerometer, and a tri-axial gyroscope are installed in the casing. The magnetized nozzle is made of a strong magnetic permanent magnet whose position can be obtained by measuring the MGT generated by itself at the measurement point. The simulation and experiment of the localization method are carried out, which show that the method has high accuracy. When the detection distance is 40 m, the error is only 0.07 m, which meets the requirements of engineering practice. The accuracy of the magnetometer, the baseline distance and the magnetization strength of the nozzle are the main factors affecting the localization error. This localization method can meet the requirements of positioning accuracy in practical engineering, which greatly avoids the drilling failure of RHJD and has a wide application prospect.

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Magnetic dipole localization based on magnetic gradient tensor data at a single point

Cited by 35 publications

References 13 publications

A Novel Design Method of Magnetic Dipole Simulator With High Fitting Accuracy

A Novel Design Method of Magnetic Dipole Simulator With High Fitting Accuracy

Magnetic object positioning method based on tensor spacial invariant relations

Drilling Localization and Error Analysis of Radial Horizontal Jet Drilling Based on Magnetic Gradient Tensor

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