The effect of topography in calculating the atmospheric correction in gravimetry

Mikuška, Ján; Marušiak, Ivan; Pašteka, Roman; Beňo, Juraj; Karcol, Roland

doi:10.1190/1.3063762

Cited by 10 publications

(10 citation statements)

References 8 publications

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“…This procedure is described in greater detail by Mikusˇka et al (2006). The closed analytical solution for the gravitational contribution of an elementary atmospheric volume (i.e., the vertical component of its attraction) is (Mikusˇka et al 2008)…”

Section: Methodsmentioning

confidence: 99%

“…The values of atmospheric density based on the United States Standard Atmosphere 1976 (USSA76) model (NOAA, NASA & USAF, 1976) are conventionally used in computing the atmospheric corrections on gravity and the geoid (e.g., Nova´k & Grafarend 2006;Mikusˇka et al 2008;Eshagh & Sjo¨berg 2009;Tenzer et al 2009). This static model assumes only the radial atmospheric density distribution, while temporal and lateral atmospheric density variations are disregarded.…”

Section: Methodsmentioning

confidence: 99%

“…This concept is used later by a number of authors. We refer readers specifically to the studies of Sjo¨berg (1993Sjo¨berg ( , 1999Sjo¨berg ( , 2001Sjo¨berg ( , 2006, Sjo¨berg & Nahavandchi (1999, 2000, Ramillien (2002), Nahavandchi (2004), Nova´k & Grafarend (2006), Tenzer et al (2006, 2009), Mikusˇka et al (2008 and Eshagh & Sjo¨berg (2009).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Computation of the atmospheric gravity correction in New Zealand

Tenzer

Mikuška

Marušiak

et al. 2010

New Zealand Journal of Geology and Geophysics

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The proper treatment and the accurate modelling of atmospheric gravity correction and other environmental effects on gravity measurements are indispensable in precise gravimetric applications such as detailed gravity surveys, micro-gravimetry and other geophysical studies which require high accuracy. In this study we apply a novel approach to compute the atmospheric gravity correction. This approach is based on an analytical integration which utilises a newly derived closed expression for the gravitational effect of a truncated spherical shell having a density varying in the radial direction. The atmospheric gravity correction is evaluated as the atmospheric component of the normal gravity at the computation point from which the gravitational effect of the topography-bounded atmosphere is subtracted. The gravitational effect of the topography-bounded atmosphere is computed by volumetric integration over atmospheric masses, considering topography as the lower atmospheric bound. This new approach is applied to compute the atmospheric gravity correction in New Zealand. The numerical results reveal that the gravitational effect of the topography-bounded atmosphere varies from (0.009 mGal (offshore) up to 0.203 mGal (in the region of Mt Cook). The corresponding values of the atmospheric gravity correction vary between 0.671 and 0.884 mGal. We also demonstrate that the errors in computed values of the atmospheric gravity correction exceed Â0.1 mGal when disregarding topography as the lower atmospheric bound.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computation of the atmospheric gravity correction in New Zealand

Tenzer

Mikuška

Marušiak

et al. 2010

New Zealand Journal of Geology and Geophysics

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“…The effects of topographic and bathymetric masses beyond the 166.7 km range were determined by approach of Mikuška et al (2006), but have not been finally included in the resultant presented field due to their small value range; δg atm (P ) is atmospheric correction for atmospheric masses bounded from below by topography (Mikuška et al, 2008).…”

Section: Methodology Of Complete Bouguer Anomaly Field Determinationmentioning

confidence: 99%

High resolution Slovak Bouguer gravity anomaly map and its enhanced derivative transformations: new possibilities for interpretation of anomalous gravity fields

Pašteka

Zahorec

Kušnirák

et al. 2017

Contributions to Geophysics and Geodesy

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Abstract:The paper deals with the revision and enrichment of the present gravimetric database of the Slovak Republic. The output of this process is a new version of the complete Bouguer anomaly (CBA) field on our territory. Thanks to the taking into account of more accurate terrain corrections, this field has significantly higher quality and higher resolution capabilities. The excellent features of this map will allow us to re-evaluate and improve the qualitative interpretation of the gravity field when researching the structural and tectonic geology of the Western Carpathian lithosphere. In the contribution we also analyse the field of the new CBA based on the properties of various transformed fields -in particular the horizontal gradient, which by its local maximums defines important density boundaries in the lateral direction. All original and new transformed maps make a significant contribution to improving the geological interpretation of the CBA field. Except for the horizontal gradient field, we are also interested in a new special transformation of TDXAS, which excellently separates various detected anomalies of gravity field and improves their lateral delimitation.

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“…There can be several applications of such a solution, such as compartment-bycompartment calculation of the Earth's atmosphere effect when the topography is taken into consideration (Mikuška et al, 2008), compartment-by-compartment calculation of the bathymetric correction or estimating the effects of deep seated density inhomogeneity effects on a planetary scale. For instance, in the case of (normal) atmosphere, we can well describe its density distribution by a polynomial of 5th degree of variable ρ and directly calculate its gravitation effect, as carried out below.…”

Section: Introductionmentioning

confidence: 99%

Gravitational attraction and potential of spherical shell with radially dependent density

Karcol

2011

Stud Geophys Geod

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Solutions to the direct problem in gravimetric interpretation are well-known for wide class of source bodies with constant density contrast. On the other hand, sources with non-uniform density can lead to relatively complicated formalisms. This is probably why analytical solutions for this type of sources are rather rare although utilization of these bodies can sometimes be very effective in gravity modeling. I demonstrate an analytical solution to that problem for a spherical shell with radial polynomial density distribution, and illustrate this result when applied to a special case of 5th degree polynomial. As a practical example, attraction of the normal atmosphere is calculated.

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The effect of topography in calculating the atmospheric correction in gravimetry

Cited by 10 publications

References 8 publications

Computation of the atmospheric gravity correction in New Zealand

Computation of the atmospheric gravity correction in New Zealand

High resolution Slovak Bouguer gravity anomaly map and its enhanced derivative transformations: new possibilities for interpretation of anomalous gravity fields

Gravitational attraction and potential of spherical shell with radially dependent density

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