The complete gravity gradient tensor derived from the vertical component of gravity: a Fourier transform technique

Mickus, Kevin L.; Hinojosa, Juan Homero

doi:10.1016/s0926-9851(01)00031-3

Cited by 84 publications

(52 citation statements)

References 14 publications

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“…Mickus and Hinojosa (2001) showed the following procedures: (1) apply a 2-D Fourier transformation to the gravity anomaly; (2) estimate the gravity potential by integration of the gravity anomaly in the Fourier domain; (3) calculate the gravity gradient components by secondorder derivatives of the potential in each direction; and (4) apply a 2-D Fourier inverse transformation to finally obtain all components of the tensor in the spatial domain.…”

Section: Gravity Anomaly and Gravity Gradient Tensormentioning

confidence: 99%

“…With the exception of some geothermal areas, gravity gradiometry survey has not been conducted thus far in central Kyushu. Therefore, we estimated the gravity gradient tensor by using calculations based on Mickus and Hinojosa (2001) to obtain the tensor from the gravity anomaly, which was used for this study. Figure 2 shows the residual Bouguer gravity anomaly map of which the first trend surface was removed from the original Bouguer gravity anomaly by using the least squares method in order to eliminate the effect of the subducting plate.…”

Section: Introductionmentioning

confidence: 99%

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Dip distribution of Oita–Kumamoto Tectonic Line located in central Kyushu, Japan, estimated by eigenvectors of gravity gradient tensor

Kusumoto

2016

Earth Planet Sp

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Abstract:We estimated the dip distribution of Oita-Kumamoto Tectonic Line located in central Kyushu, Japan, by using the dip of the maximum eigenvector of the gravity gradient tensor. A series of earthquakes in Kumamoto and Oita beginning on 14 April 2016 occurred along this tectonic line, the largest of which was M = 7.3. Because a gravity gradiometry survey has not been conducted in the study area, we calculated the gravity gradient tensor from the Bouguer gravity anomaly and employed it to the analysis. The general dip distribution of the Oita-Kumamoto Tectonic Line was found to be about 65° and tends to be higher towards its eastern end. In addition, we estimated the dip around the largest earthquake to be about 60° from the gravity gradient tensor. This result agrees with the dip of the earthquake source fault obtained by Global Navigation Satellite System data analysis.

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Section: Gravity Anomaly and Gravity Gradient Tensormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dip distribution of Oita–Kumamoto Tectonic Line located in central Kyushu, Japan, estimated by eigenvectors of gravity gradient tensor

Kusumoto

2016

Earth Planet Sp

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“…Then, by considering the symmetry of the tensor components and the derivative property of the Fourier transform, we have the following Fourier transform pairs [5]…”

Section: Full Tensor Gradient Of Gravitymentioning

confidence: 99%

“…Fourier transformed gravity components of g x , g y and g z respectively, while k x and k y are wave numbers with the following property [5],…”

Section: Full Tensor Gradient Of Gravitymentioning

confidence: 99%

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Full Tensor Gradient of Simulated Gravity Data for Prospect Scale Delineation

Grandis

Dahrin

2014

j.math.fund.sci.

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Abstract. Gravity gradiometry measurement allows imaging of anomalous sources in more detail than conventional gravity data. The availability of this new technique is limited to airborne gravity surveys using very specific instrumentation. In principle, the gravity gradients can be calculated from the vertical component of the gravity commonly measured in a ground-based gravity survey. We present a calculation of the full tensor gradient (FTG) of the gravity employing the Fourier transformation. The calculation was applied to synthetic data associated with a simple block model and also with a more realistic model. The latter corresponds to a 3D model in which a thin coal layer is embedded in a sedimentary environment. Our results show the utility of the FTG of the gravity for prospect scale delineation.

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Interpretation of Potential Field Tensor Data Using the Tensor Local Wavenumber Method and Comparison with the Conventional Local Wavenumber Method

Ma¹,

Du²,

Li³

2012

Chinese J of Geophysics

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Measurements of potential field tensors (PFT) have been widely used in geophysical exploration because of the advantages of big capacity, high-precision, and low noise. In this paper, we suggest using tensor local wavenumber (TLW) to interpret potential field tensor data. We firstly define the tensor local wavenumber, and then derive the inversion formula based on the tensor local wavenumber. The TLW method does not require any prior information about the nature of the source to estimate location parameters, and then the nature of the source can be obtained by the source location parameters. The effectiveness of the TLW method is demonstrated using theoretical potential field data, and we compare it with the conventional local wavenumber (CLW) method. Our work shows that the inversion results of the TLW method are more accurate. Especially in the case that observational points are distributed unreasonably, the TLW method still can yield accurate results. At last, we applied the TLW method to a gravity data example in Texas, USA, and inversion results are consistent with previous work.

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The complete gravity gradient tensor derived from the vertical component of gravity: a Fourier transform technique

Cited by 84 publications

References 14 publications

Dip distribution of Oita–Kumamoto Tectonic Line located in central Kyushu, Japan, estimated by eigenvectors of gravity gradient tensor

Dip distribution of Oita–Kumamoto Tectonic Line located in central Kyushu, Japan, estimated by eigenvectors of gravity gradient tensor

Full Tensor Gradient of Simulated Gravity Data for Prospect Scale Delineation

Interpretation of Potential Field Tensor Data Using the Tensor Local Wavenumber Method and Comparison with the Conventional Local Wavenumber Method

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