Gravity Anomalies and the Corresponding Subterranean Mass Distributions

Tsuboi, Chûji

doi:10.2183/pjab1912.14.170

Cited by 16 publications

(10 citation statements)

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“…Tsuboi & Fuchida (1937) have investigated the error which arises when such line sources are in reality of finite length. They found that if the actual length I of the line sources is about four times the depth of burial d the error from the infinite length assumption is roughly 10 per cent.…”

Section: Discussion Of Resultsmentioning

confidence: 99%

“…Our model assumes that the observed magnetic anomaly field can be approximated by the field due to a buried uncorrelated magnetic line source distribution of infinite length. Tsuboi & Fuchida (1937) have investigated the error which arises when such line sources are in reality of finite length. They found that if the actual length I of the line sources is about four times the depth of burial d the error from the infinite length assumption is roughly 10 per cent.…”

Section: Discussion Of Resultsmentioning

confidence: 99%

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The Spectral Determination of Depths to Buried Magnetic Basement Rocks

Treitel¹,

Clement²,

Kaul³

1971

Geophysical Journal International

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The power spectrum of airborne magnetometer total intensity field profiles can be used to determine average depth values to buried magnetic rocks. These depths are established from the slope of the log-power spectrum at the lower end of the total wavenumber, or spatial frequency band. The method is based on the assumption that the magnetic effect of the basement surface can be simulated by an uncorrelated distribution of magnetic line sources, and is independent of the magnetic declination and inclination for straight-line profiles. Calculations carried out on profile data for an area in North-western Canada yielded good agreement with known basement depths.

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Section: Discussion Of Resultsmentioning

confidence: 99%

Section: Discussion Of Resultsmentioning

confidence: 99%

The Spectral Determination of Depths to Buried Magnetic Basement Rocks

Treitel¹,

Clement²,

Kaul³

1971

Geophysical Journal International

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“…As the bodies of wavelengths longer than 160 km are compensated by the isostasy due to the variation of the crustal thickness (Tsuboi and Yamaguchi, 1940;Hagiwara, 1967), the Bouguer gravity anomalies longer than 160 km in wavelength should be related with the undulation of the Moho boundary. The Moho boundary also has been assumed to be the magnetic boundary; the layer beneath the Moho boundary is nonmagnetic in general (Wasilewski et al, 1979).…”

Section: Estimation Of P/j Ratio At the Moho Boundarymentioning

confidence: 99%

Magnetic and Gravity Field Analyses of Izu-Ogasawara (Bonin) Arc and Their Tectonic Implications.

Ueda

1996

J. geomagn. geoelec

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The magnetic and gravity anomaly maps covering the Izu-Ogasawara arc are compiled using the MGD77 data measured by the Hydrographic Department of Japan (JHD). A magnetic basement map is also obtained by applying the three-dimensional inversion method. Characteristic features of the crust of the Izu-Ogasawara arc are made apparent from the view point of the magnetic, gravity and topographic features. Especially, the distribution of the magnetic bodies with low p/J ratio, which belong to the granitic rock of magnetite series, becomes apparent in the forearc area of the northern part of the IzuOgasawara arc. The magnetic anomalies of the Nisi-Sitito ridge are well explained by the normal magnetization of topographic highs. This feature suggests the N-S arrangement of the arc when it was formed. The bulk magnetization per unit area (km2) along the Quaternary volcanic front of the southern arc is about 2.4 times as large as that of the northern arc. These features can be explained by the narrow and stable location of the volcanic front in the southern arc, which is related with the steep gradient of the subducfing slab. The magnetic edge effect of the Moho boundary can be recognized in the western margin of the northern arc. However, this feature becomes vague in the southern arc. A tectonic model to explain the origin of the different characteristics between the northern and southern arcs is presented by assuming the long and stable state of the steep dip angle of the subducting slab in the southern arc under the N-S arrangement of the arc. The plausible origin of NE-and NNE-trending en-echelon ridge and trough morphology is also given in consistent with the tectonic framework mentioned above.

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“…However, the discretized approximation, the multisolutions, the instability calculation and the interpolation estimation are considered in this method (Fedi & Florio, 2002;Ivan, 1994;Leao & Silva, 1989;Novák et al, 2001). Another utilizes the linear multiplicative algorithm based on the convolution in the frequency domain (Dean, 1958;Hughes, 1942;Tomoda & Aki, 1955;Tsuboi & Fuchida, 1937). However, its frequency downward continuation factor should be filtered or regularized to diminish the amplifying impact (Abedi et al, 2013;Clarke, 1969;Ferguson, 1988;Huestis & Parker, 1979;Lima et al, 2013;Pašteka et al, 2012;Pawlowski, 1995;Sebera et al, 2015;Tikhonov et al, 1977;Zhang et al, 2016), and moreover, appropriate…”

Section: Introductionmentioning

confidence: 99%

Numerical Solutions of the Mean‐Value Theorem: New Methods for Downward Continuation of Potential Fields

Zhang

Lü

Yan

et al. 2018

Geophysical Research Letters

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Downward continuation can enhance small‐scale sources and improve resolution. Nevertheless, the common methods have disadvantages in obtaining optimal results because of divergence and instability. We derive the mean‐value theorem for potential fields, which could be the theoretical basis of some data processing and interpretation. Based on numerical solutions of the mean‐value theorem, we present the convergent and stable downward continuation methods by using the first‐order vertical derivatives and their upward continuation. By applying one of our methods to both the synthetic and real cases, we show that our method is stable, convergent and accurate. Meanwhile, compared with the fast Fourier transform Taylor series method and the integrated second vertical derivative Taylor series method, our process has very little boundary effect and is still stable in noise. We find that the characters of the fading anomalies emerge properly in our downward continuation with respect to the original fields at the lower heights.

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Gravity Anomalies and the Corresponding Subterranean Mass Distributions

Cited by 16 publications

References 0 publications

The Spectral Determination of Depths to Buried Magnetic Basement Rocks

The Spectral Determination of Depths to Buried Magnetic Basement Rocks

Magnetic and Gravity Field Analyses of Izu-Ogasawara (Bonin) Arc and Their Tectonic Implications.

Numerical Solutions of the Mean‐Value Theorem: New Methods for Downward Continuation of Potential Fields

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