Assessment of three numerical solution strategies for gravity field recovery from GOCE satellite gravity gradiometry implemented on a parallel platform

2002 ◽  
Vol 76 (8) ◽  
pp. 462-474 ◽  
Author(s):  
R. Pail ◽  
G. Plank
Keyword(s):  
Numerical Solution ◽  
Gravity Field ◽  
Gravity Gradiometry ◽  
Satellite Gravity Gradiometry ◽  
Satellite Gravity ◽  
Solution Strategies ◽  
Gravity Field Recovery ◽  
Parallel Platform ◽  
Goce Satellite

scholarly journals Comparison of numerical solution strategies for gravity field recovery from GOCE SGG observations implemented on a parallel platform

2003 ◽  
Vol 1 ◽  
pp. 39-45 ◽  
Author(s):  
R. Pail ◽  
G. Plank
Keyword(s):  
Parallel Computing ◽  
Gravity Field ◽  
Gravity Gradiometry ◽  
Satellite Gravity Gradiometry ◽  
Satellite Gravity ◽  
Solution Strategies ◽  
Beowulf Cluster ◽  
Gravity Field Recovery ◽  
Noise Characteristics ◽  
Parallel Platform

Abstract. The recovery of a full set of gravity field parameters from satellite gravity gradiometry (SGG) is a huge numerical and computational task. In practice, parallel computing has to be applied to estimate the more than 90 000 harmonic coefficients parameterizing the Earth’s gravity field up to a maximum spherical harmonic degree of 300. Three independent solution strategies, i.e. two iterative methods (preconditioned conjugate gradient method, semi-analytic approach) and a strict solver (Distributed Non-approximative Adjustment), which are operational on a parallel platform (‘Graz Beowulf Cluster’), are assessed and compared both theoretically and on the basis of a realistic-as-possible numerical simulation, regarding the accuracy of the results, as well as the computational effort. Special concern is given to the correct treatment of the coloured noise characteristics of the gradiometer. The numerical simulations show that there are no significant discrepancies among the solutions of the three methods. The newly proposed Distributed Nonapproximative Adjustment approach, which is the only one of the three methods that solves the inverse problem in a strict sense, also turns out to be a feasible method for practical applications.Key words. Spherical harmonics – satellite gravity gradiometry – GOCE – parallel computing – Beowulf cluster

Gravity Anomaly Computed by GOCE Data in Northeastern Margin of Tibetan Plateau

2011 ◽  
Vol 117-119 ◽  
pp. 1461-1464
Author(s):  
Hai Jun Xu ◽  
Yong Zhi Zhang ◽  
Hu Rong Duan
Keyword(s):  
Tibetan Plateau ◽  
Gravity Anomaly ◽  
Gravity Gradient ◽  
Gravity Gradiometry ◽  
Satellite Gravity Gradiometry ◽  
Satellite Gravity ◽  
Strong Earthquakes ◽  
Gradient Zone ◽  
Regional Tectonic ◽  
Goce Satellite

In this paper, gravity anomaly in northeastern margin of Tibetan Plateau (90ºand 110º E, 28ºand 42º N) is computed using satellite gravity gradiometry data from GOCE satellite. The computed gravity anomaly is compared with the topographical data and location of some strong earthquakes in this region. The result shows that gravity anomaly has good conformity with the regional tectonic distribution and strong earthquake usually occurred in the steep gravity gradient zone.

scholarly journals On the joint inversion of SGG and SST data from the GOCE mission

2003 ◽  
Vol 1 ◽  
pp. 87-94 ◽  
Author(s):  
P. Ditmar ◽  
P. Visser ◽  
R. Klees
Keyword(s):  
Gravity Field ◽  
Joint Inversion ◽  
Normal Matrix ◽  
Nuisance Parameters ◽  
Design Matrix ◽  
Explicit Computation ◽  
Gravity Gradiometry ◽  
Satellite Gravity Gradiometry ◽  
Satellite Gravity ◽  
Earth’S Gravity Field

Abstract. The computation of spherical harmonic coefficients of the Earth’s gravity field from satellite-to-satellite tracking (SST) data and satellite gravity gradiometry (SGG) data is considered. As long as the functional model related to SST data contains nuisance parameters (e.g. unknown initial state vectors), assembling of the corresponding normal matrix must be supplied with the back-substitution operation, so that the nuisance parameters are excluded from consideration. The traditional back-substitution algorithm, however, may result in large round-off errors. Hence an alternative approach, back-substitution at the level of the design matrix, is implemented. Both a stand-alone inversion of either type of data and a joint inversion of both types are considered. The conclusion drawn is that the joint inversion results in a much better model of the Earth’s gravity field than a standalone inversion. Furthermore, two numerical techniques for solving the joint system of normal equations are compared: (i) the Cholesky method based on an explicit computation of the normal matrix, and (ii) the pre-conditioned conjugate gradient method (PCCG), for which an explicit computation of the entire normal matrix is not needed. The comparison shows that the PCCG method is much faster than the Cholesky method.Key words. Earth’s gravity field, GOCE, satellite-tosatellite tracking, satellite gravity gradiometry, backsubstitution

scholarly journals Efficient GOCE satellite gravity field recovery based on least-squares using QR decomposition

2007 ◽  
Vol 82 (4-5) ◽  
pp. 207-221 ◽  
Author(s):  
Oliver Baur ◽  
Gerrit Austen ◽  
Jürgen Kusche
Keyword(s):  
Least Squares ◽  
Gravity Field ◽  
Qr Decomposition ◽  
Satellite Gravity ◽  
Gravity Field Recovery ◽  
Goce Satellite

scholarly journals Spatially Restricted Integrals in Gradiometric Boundary Value Problems

2009 ◽  
Vol 44 (4) ◽  
pp. 131-148 ◽  
Author(s):  
M. Eshagh
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Legendre Functions ◽  
Gravity Gradiometry ◽  
Satellite Gravity Gradiometry ◽  
Satellite Gravity ◽  
Earth’S Gravity Field ◽  
Associated Legendre Functions ◽  
Tensor Spherical Harmonics ◽  
Slepian Functions

Spatially Restricted Integrals in Gradiometric Boundary Value ProblemsThe spherical Slepian functions can be used to localize the solutions of the gradiometric boundary value problems on a sphere. These functions involve spatially restricted integral products of scalar, vector and tensor spherical harmonics. This paper formulates these integrals in terms of combinations of the Gaunt coefficients and integrals of associated Legendre functions. The presented formulas for these integrals are useful in recovering the Earth's gravity field locally from the satellite gravity gradiometry data.

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