The effect of rotatability of measuring directions design on the precision of the determination of the anisotropy of magnetic susceptibility: Mathematical model study

IF 2.4 3区地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS

Physics of the Earth and Planetary Interiors Pub Date : 2024-03-01 DOI:10.1016/j.pepi.2024.107159

František Hrouda , Josef Ježek , Martin Chadima

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Abstract

The precision of the measurement of the anisotropy of magnetic susceptibility (AMS) depends, in addition to other factors like accuracy of measurement of directional susceptibility and number of measuring directions, also on the orientation of the measuring design with respect to the specimen's anisotropy. The last factor can be characterized by rotatability coefficient of the measuring design. We investigated through mathematical modelling of measuring process the effect of the rotatability coefficient on the error in the determination of degree of AMS, shape factor and principal directions. The effect is conspicuous in strongly non-rotatable designs with low number of measuring directions. It decreases with increasing rotatability and with increasing number of measuring directions. In designs with high number of directions this effect is small, virtually negligible from the practical point of view.

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测量方向设计的可旋转性对磁感应强度各向异性测定精度的影响：数学模型研究

磁感应强度（AMS）各向异性的测量精度除了取决于定向磁感应强度测量精度和测量方向数量等其他因素外，还取决于测量设计相对于试样各向异性的方向。最后一个因素可以用测量设计的可旋转系数来表征。我们通过测量过程的数学模型研究了可旋转系数对确定 AMS 度、形状系数和主要方向误差的影响。如果测量设计是可旋转的，则对测量精度没有影响。如果设计是不可旋转的，则其影响取决于（不可）旋转的程度。在测量方向数量较少的不可旋转设计中，由于不可旋转性的影响，测量精度较差，而在测量方向数量较多的设计中，这种影响较小，从实际角度来看几乎可以忽略不计。

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来源期刊

Physics of the Earth and Planetary Interiors 地学天文-地球化学与地球物理

CiteScore

5.00

自引率

4.30%

发文量

审稿时长

18.5 weeks

期刊介绍： Launched in 1968 to fill the need for an international journal in the field of planetary physics, geodesy and geophysics, Physics of the Earth and Planetary Interiors has now grown to become important reading matter for all geophysicists. It is the only journal to be entirely devoted to the physical and chemical processes of planetary interiors. Original research papers, review articles, short communications and book reviews are all published on a regular basis; and from time to time special issues of the journal are devoted to the publication of the proceedings of symposia and congresses which the editors feel will be of particular interest to the reader.