Curvature of the equipotential surface, gravity potential, field and gradient anomalies

Xiong, Lin; Cevallos, Carlos

doi:10.1190/segam2013-0379.1

Cited by 5 publications

(4 citation statements)

References 4 publications

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“…As a consequence, gravity gradients enable a better imaging of the gravity signal caused by geological structures close to the surface. Furthermore, the directionality of the derivatives in the GGT makes them sensitive to the geometrical structure of the gravitational field [19] and, indirectly, of the causative bodies [20,21]. This comes from the fact that a directional derivative enhances mass structures elongated in the orthogonal direction.…”

Section: Advantages Of the Ggt Measurementmentioning

confidence: 99%

Ultra-sensitive electrostatic planar acceleration gradiometer for airborne geophysical surveys

Douch

Christophe

Foulon

et al. 2014

Meas. Sci. Technol.

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We propose a new concept of gravity gradiometer, GREMLIT, for the determination of the spatial derivatives of gravitational acceleration during airborne surveys. The core of this instrument is the acceleration gradiometer composed of four ultra-sensitive electrostatic planar accelerometers, inheriting from technologies developed for the GRACE and GOCE satellite gravity missions. Data from these missions have greatly improved our knowledge of the Earth’s gravity field and its time variations. However, resolving wavelengths of a few 10 km or less, beyond the reach of the satellite resolution, is of utmost importance to study a number of crustal geophysical processes and geological structures. We first present the benefits for a new gravity gradiometer, then we describe the planar acceleration gradiometer, which put together with three orthogonal gyroscopes, constitutes the gravity gradiometer GREMLIT. The acceleration gradiometer enables measurement at one point of the horizontal spatial derivatives of the acceleration horizontal components. We explain the measurement principle and describe the computation of the gravity gradients along with the necessary ancillary measurements. From a detailed error budget analysis of the accelerometers, an expected spectral sensitivity below is found in the [10−3, 0.2] Hz measurement bandwidth. To maintain such performance in flight, we finally discuss the adaptation of the acceleration gradiometer to the turbulent airborne environment. To limit the saturation of the accelerometers, we propose to cancel the common-mode output of the acceleration gradiometer by integrating the instrument on a double-gimbal platform controlled by the common-mode. We demonstrate on a real case study that with such a solution, it is technically possible to prevent the saturation of the accelerometers at least 95% of the time and it is not damaging to the airborne survey.

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Section: Advantages Of the Ggt Measurementmentioning

confidence: 99%

Ultra-sensitive electrostatic planar acceleration gradiometer for airborne geophysical surveys

Douch

Christophe

Foulon

et al. 2014

Meas. Sci. Technol.

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“…In this contribution, we utilize the interesting properties of the gravitational effect's curvature. There are, already, several contributions, using the properties of the curvatures in the potential data interpretation (Schmidt and Götze, 2003;Phillips et al, 2007;Li and Cevallos, 2013;Cevallos et al, 2013;Li, 2015 a.o. ), but based on our knowledge, none of them is focused on the inclined step's slope estimation problem.…”

Section: Introductionmentioning

confidence: 99%

Normal vs. reverse fault – the example of curvature's usage on gravimetric data

Karcol

Pašteka

2020

Contrib. Geophys. Geod.

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The gravitational effects caused by normal and reverse faults are very close to each other, both in amplitude and in the shape. We demonstrate the usage of the first curvature as a tool for the setting the slope orientation without the additional geological information. The curvature is calculated not only for the measured data, but for their upward continuation, too. This step helps to lower instability of the curvature computation and is important in the interpretation of the resultant curvature as well. We applied this method on the synthetic test and on the real regional gravimetric data as well. The results show the method could be useful step before the density modelling process and generally during qualitative interpretation in applied gravimetry.

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“…Curvatures of equipotential surfaces and their application to gravity gradiometry are well known; they are a function of the gravity and the gravity gradients and can be applied to interpret gravity gradients in geophysical applications (Cevallos et al, 2013;Chowdhury and Cevallos, 2013;Li and Cevallos, 2013;Cevallos, 2014;Li, 2015).…”

Section: Introductionmentioning

confidence: 99%

Interpreting the direction of the gravity gradient tensor eigenvectors: The main tidal force and its relation to the curvature parameters of the equipotential surface

Cevallos¹

2016

ASEG Extended Abstracts

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Rotating the gravity gradient tensor about a vertical axis by an appropriate angle allows one to express its components as functions of the curvatures of the equipotential surface. The description permits the identification of the gravity gradient tensor as the Newtonian tidal tensor and part of the tidal potential. The identification improves the understanding and interpretation of gravity gradient data. With the use of the plunge of the eigenvector associated with the largest eigenvalue or plunge of the main tidal force, it is possible to estimate the location and depth of buried gravity sources; this is illustrated in model data and applied to FALCON airborne gravity gradiometer data from the Canning Basin, Australia.

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Curvature of the equipotential surface, gravity potential, field and gradient anomalies

Cited by 5 publications

References 4 publications

Ultra-sensitive electrostatic planar acceleration gradiometer for airborne geophysical surveys

Ultra-sensitive electrostatic planar acceleration gradiometer for airborne geophysical surveys

Normal vs. reverse fault – the example of curvature's usage on gravimetric data

Interpreting the direction of the gravity gradient tensor eigenvectors: The main tidal force and its relation to the curvature parameters of the equipotential surface

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