Upward/downward continuation of gravity gradients for precise geoid determination

2006 ◽  
Vol 41 (1) ◽  
pp. 21-30 ◽  
Author(s):  
Gy Tóth ◽  
L Földvári
Geophysics ◽  
1954 ◽  
Vol 19 (1) ◽  
pp. 71-75 ◽  
Author(s):  
César A. Trejo

Comparing calculated and exact values in an ideal example, it is shown that Peters’ proposed method of downward continuation of gravity is far less suitable than a combination of Peters’ procedure for upward continuation and a finite differences method for downward continuation. It is shown also how Peters’ method can be substantially improved by considering only the closest values in the downward step of a continuation process.


2019 ◽  
Vol 23 (4) ◽  
pp. 331-338
Author(s):  
Yang Wang ◽  
Jun Li ◽  
Xuben Wang ◽  
Xingxiang Jian

Through the regularization downward continuation of gravity and magnetic anomalies, the depth of the field source can be solved. However, due to the Gibbs effect, the horizontal resolving power of the field source is poor. In view of this, based on the depth of field source established by regularization downward continuation, this paper proposes a physical property parameter inversion method based on iterative continuation and anomaly separation, which can effectively improve the inversion accuracy of superimposed anomaly physical parameters, and provide a new idea for solving the physical parameters of superposition gravity and magnetic anomalies.


2021 ◽  
Author(s):  
Ilias N. Tziavos ◽  
Dimitrios A. Natsiopoulos ◽  
Georgios S. Vergos ◽  
Eleftherios A. Pitenis ◽  
Elisavet G. Mamagiannou

<p>Within the GeoGravGOCE project, funded by the Hellenic Foundation for Research Innovation, one of the main goals is the investigation of downward continuation schemes for the GOCE Satellite Gravity Gradiometry (SGG) data. It is well known that once the original SGG observations have been filtered to the GOCE Measurement Band Width (MBW), in order to remove noise and long-wavelength correlated errors, a crucial point for gravity field and geoid determination refers to the combination of GOCE data with local gravity field information. One possible way to exploit GOCE data is to use them in a Spherical Harmonic Synthesis (SHS) to derive a GOCE-only and/or a combined Global Geopotential Model. Our aim is to overcome the inherent smoothing of SHS and use directly the SGG data in order to investigate their contribution to regional gravity field and geoid determination. For that, methods based on the input-output-system-theory (IOST) are used for the combination of heterogeneous data at the Earth’s surface and at the satellite altitude or a mean sphere. The GOCE Level 2 gradients are first processed, transformed and reduced to a mean orbit using the IOST methods and then are downward continued to the Earth’s surface with an iterative Monte Carlo method (simulated annealing - SA). In this work we present the theoretical background of the proposed methodology and key-concepts for its implementation.</p>


2005 ◽  
Vol 48 (1) ◽  
pp. 74-80 ◽  
Author(s):  
Jin-Sheng NING ◽  
Hai-Hong WANG ◽  
Zhi-Cai LUO

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