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Upward and downward statistical continuities [PDF]

open access: yesFilomat, 2015
A real valued function f defined on a subset E of R, the set of real numbers, is statistically upward (resp. downward) continuous if it preserves statistically upward (resp. downward) half quasi-Cauchy sequences; A subset E of R, is statistically upward (resp. downward) compact if any sequence of points in E has a statistically upward (resp.
openaire   +2 more sources

Velocity continuation in the downward continuation approach to seismic imaging [PDF]

open access: yesGeophysical Journal International, 2009
SUMMARY One way of developing a wave-equation approach to seismic imaging is based on the concept of downward continuation of observed surface reflection data. Seismic imaging is typically based on the single scattering approximation, and assumes the knowledge of a smooth background model in which the mentioned downward continuation is carried out ...
Anton A. Duchkov, Maarten V. de Hoop
openaire   +1 more source

Stable downward continuation of the gravity potential field implemented using deep learning

open access: yesFrontiers in Earth Science, 2023
Downward continuation (DC) of the gravity potential field is an important approach used to understand and interpret the density structure and boundary of anomalous bodies.
Honglei Li   +11 more
doaj   +1 more source

Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain

open access: yesGeodesy and Geodynamics, 2015
Downward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation ...
Xiaogang Liu   +3 more
doaj   +1 more source

Depth Estimation of Potential Field by Using a New Downward Continuation Based on the Continued Fraction in Space Domain

open access: yesEarth and Space Science, 2021
Depth estimation of potential field data is a powerful tool for geologic source interpretation. It can be implemented by using downward continuation method based on a normalized algorithm.
Wenna Zhou, Chong Zhang, Dailei Zhang
doaj   +1 more source

Matlab tool REGCONT2: effective source depth estimation by means of Tikhonov’s regularized downwards continuation of potential fields

open access: yesContributions to Geophysics and Geodesy, 2018
Transformation based on downward continuation of potential fields is an important tool in their interpretation – depths of shallowest important sources can be determined by means of stable downward continuation algorithms.
Roman PAŠTEKA   +2 more
doaj   +1 more source

A numerical test of the topographic bias

open access: yesJournal of Geodetic Science, 2018
In 1962 A. Bjerhammar introduced the method of analytical continuation in physical geodesy, implying that surface gravity anomalies are downward continued into the topographic masses down to an internal sphere (the Bjerhammar sphere).
Sjöberg L.E., Joud M.S.S.
doaj   +1 more source

Far-zone contributions of airborne gravity anomalies' upward/downward continuation

open access: yesGeodesy and Geodynamics, 2016
Airborne gravimetry has become a vital technique in local gravity field approximation, and upward/downward continuation of gravity data is a key process of airborne gravimetry.
Boyang Zhou   +3 more
doaj   +1 more source

Spectral methods in gravity inversion: the geopotential field and its derivatives

open access: yesAnnals of Geophysics, 1997
The 3D spectral analysis of the gravitational potential field for a given mass distribution is studied. The derived quantities, the gravitational force field and the gravity gradient tensor are computed in frequency space.
C. Braitenberg, M. Zadro
doaj   +1 more source

Parallel Algorithms for Solving Inverse Gravimetry Problems: Application for Earth’s Crust Density Models Creation

open access: yesMathematics, 2021
The paper describes a method of gravity data inversion, which is based on parallel algorithms. The choice of the density model of the initial approximation and the set on which the solution is sought guarantees the stability of the algorithms. We offer a
Petr Martyshko   +2 more
doaj   +1 more source

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