On inversion of the second- and third-order gravitational tensors by Stokes' integral formula for a regional gravity recovery
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43933108" target="_blank" >RIV/49777513:23520/17:43933108 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11200-016-0831-7" target="_blank" >http://dx.doi.org/10.1007/s11200-016-0831-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11200-016-0831-7" target="_blank" >10.1007/s11200-016-0831-7</a>
Alternative languages
Result language
angličtina
Original language name
On inversion of the second- and third-order gravitational tensors by Stokes' integral formula for a regional gravity recovery
Original language description
A regional recovery of the Earth’s gravity field from satellite observables has become particularly important in various geoscience studies in order to better localize stochastic properties of observed data, while allowing the inversion of a large amount of data, collected with a high spatial resolution only over the area of interest. One way of doing this is to use observables, which have a more localized support. As acquired in recent studies related to a regional inversion of the Gravity field and steady-state Ocean Circulation Explorer (GOCE) data, the satellite gravity-gradient observables have a more localized support than the gravity observations. Following this principle, we compare here the performance of the second- and third-order derivatives of the gravitational potential in context of a regional gravity modeling, namely estimating the gravity anomalies. A functional relation between these two types of observables and the gravity anomalies is formulated by means of the extended Stokes’ integral formula (or more explicitly its second- and third-order derivatives) while the inverse solution is carried out by applying a least-squares technique and the ill-posed inverse problem is stabilized by applying Tikhonov’s regularization. Our results reveal that the third-order radial derivatives of the gravitational potential are the most suitable among investigated input data types for a regional gravity recovery, because these observables preserve more information on a higher-frequency part of the gravitational spectrum compared to the vertical gravitational gradients. We also demonstrate that the higher-order horizontal derivatives of the gravitational potential do not necessary improve the results. We explain this by the fact that most of the gravity signal is comprised in its radial component, while the horizontal components are considerably less sensitive to spatial variations of the gravity field.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10500 - Earth and related environmental sciences
Result continuities
Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia Geophysica et Geodaetica
ISSN
0039-3169
e-ISSN
—
Volume of the periodical
61
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
16
Pages from-to
453-468
UT code for WoS article
000406827400004
EID of the result in the Scopus database
2-s2.0-84996956128