Downward continuation of gravitational field quantities to an irregular surface by spectral weighting

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43958635" target="_blank" >RIV/49777513:23520/20:43958635 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s00190-020-01384-6" target="_blank" >https://link.springer.com/article/10.1007/s00190-020-01384-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00190-020-01384-6" target="_blank" >10.1007/s00190-020-01384-6</a>

Result language

angličtina

Original language name

Downward continuation of gravitational field quantities to an irregular surface by spectral weighting

Original language description

In geophysical and geodetic studies, gravity inversion is typically performed such that observed gravity values are first continued downward onto a regular (planar, spherical or spheroidal) surface by solving an inverse integral transform, which originates from a classical solution to the first boundary-value problem in potential theory. A typical example is continuing gravity observed at the topographic surface down to the mean sea level (geoid). Nowadays, gravity-dedicated satellite missions and aerial gravimetry provide gravity data above the topographic surface in addition to classical terrestrial gravity observations. For specific purposes (such as gravity data combination and validation, or quasigeoid determination), satellite and aerial gravity observations have to be continued to the irregular topographic surface. In this study, we address this issue by formulating a functional model for a spectral downward continuation of selected gravitational field quantities to an irregular topographic surface. Moreover, we generalize this functional model to allow for transformation between different types of gravitational field quantities. In particular, we derive spectral weights for estimation of the disturbing potential or disturbing/anomalous gravity at the Earth’s surface by combining the first-, second- and third-order radial gradients of the disturbing potential (disturbing gradients). The correctness of the developed combined spectral estimator is verified in a closed-loop test based on synthetic satellite disturbing gradients. The combined spectral estimator is applied to simulated satellite disturbing gradients polluted by a realistic Gaussian noise. Results of the numerical experiments show that the combined spectral estimator puts the highest importance on the least polluted disturbing gradient, while the contribution of the least accurate disturbing gradient is negligible. An important advantage of this spectral combination method is that no matrix inversion with numerical instabilities requiring regularization is needed.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10508 - Physical geography

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Geodesy

ISSN

0949-7714

e-ISSN

—

Volume of the periodical

94

Issue of the periodical within the volume

7

Country of publishing house

DE - GERMANY

Number of pages

26

Pages from-to

1-26

UT code for WoS article

000551814400002

EID of the result in the Scopus database

2-s2.0-85087666532