Interpretation of CHAMP magnetic anomaly data over the Pannonian Basin region using lower altitude horizontal gradient data

Taylor, P. T.; Kis, K.I.; Wittmann, G.

doi:10.1007/s40328-013-0026-4

Cited by 5 publications

(4 citation statements)

References 5 publications

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“…The inversion procedures are discussed [5] and [6]. The Laplacian and Gaussian model parameter distributions and the effect of regularization are presented [5] [6] and [7] showed the calculation of horizontal gradients and their interpretation, [8] pointed out that the source of the global magnetic anomalies was in the lithosphere. They applied the CHAMP magnetic measurements for their interpretation.…”

Section: Introductionmentioning

confidence: 99%

Interpretation of the Magnetic Measurements of the Swarm-A Satellite over Central Europe

Pt¹,

Ki²,

Toronyi³

et al. 2019

Int J Astronaut Aeronautical Eng

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Our paper discusses the determination of total magnetic field anomalies derived from the Swarm-A satellite data; one of two low orbiting satellites of the three Swarm formations. This procedure requires several modifications. The first step is the conversion of the measured CDF data to the ASCII format. This step is followed for the selection of the data with K p index ≤ 1 +. The anomalies are determined by the removal of the IGRF from the resulting satellite data. There are two Swarm-A data sets descending (6000) orbits and ascending (5688) orbits. For our study the descending orbits were used. The calculations next step is to difference of the two-dimensional linear field Figure 3 fitted to the Swarm-A anomalies and the anomalies given in Figure 2. These anomalies are filtered by Gaussian low-pass filter. The last step of the corrections is the remove the direct component, zero spatial frequency, from the descending orbits. The anomalies and their vertical gradients are qualitatively interpreted over Central Europe and the Pannonian Basin.

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Section: Introductionmentioning

confidence: 99%

Interpretation of the Magnetic Measurements of the Swarm-A Satellite over Central Europe

Pt¹,

Ki²,

Toronyi³

et al. 2019

Int J Astronaut Aeronautical Eng

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“…Therefore, scientists, to increase their knowledge about the Earth's gravity field and mass variation, applied some mathematical techniques. Spherical cap harmonic analysis (SCHA) is a mathematical technique widely used to precisely estimate the Earth's magnetic field [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. Therefore, the solution of the Laplace equation for the boundary value problem over the spherical cap can be expressed as follows [37]:…”

Section: Spherical Cap Harmonics Analysismentioning

confidence: 99%

“…The RMSE and the mean value of the difference between the radial component obtained from the SCHA model and the radial component from the GFO Level 2 model on the Earth's surface are computed using ( 27) and (28).…”

Section: 𝑅𝑀𝑆𝐸 = ∑ (𝐿𝐺𝐷 − 𝐿𝐺𝐷 ) 𝑁mentioning

confidence: 99%

Antarctic Time-Variable Regional Gravity Field Model Derived from Satellite Line-of-Sight Gravity Differences and Spherical Cap Harmonic Analysis

2023

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This study focuses on the development of a time-variable regional geo-potential model for Antarctica using the spherical cap harmonic analysis (SCHA) basis functions. The model is derived from line-of-sight gravity difference (LGD) measurements obtained from the GRACE-Follow-On (GFO) mission. The solution of a Laplace equation for the boundary values over a spherical cap is used to expand the geo-potential coefficients in terms of Legendre functions with a real degree and integer order suitable for regional modelling, which is used to constrain the geo-potential coefficients using LGD measurements. To validate the performance of the SCHA, it is first utilized with LGD data derived from a L2 JPL (Level 2 product of the Jet Propulsion Laboratory). The obtained LGD data are used to compute the local geo-potential model up to Kmax = 20, corresponding to the SH degree and order up to 60. The comparison of the radial gravity on the Earth’s surface map across Antarctica with the corresponding radial gravity components of the L2 JPL is carried out using local geo-potential coefficients. The results of this comparison provide evidence that these basis functions for Kmax = 20 are valid across the entirety of Antarctica. Subsequently, the analysis proceeds using LGD data obtained from the Level 1B product of GFO by transforming these LGD data into the SCHA coordinate system and applying them to constrain the SCHA harmonic coefficients up to Kmax = 20. In this case, several independent LGD profiles along the trajectories of the satellites are devised to verify the accuracy of the local model. These LGD profiles are not employed in the inverse problem of determining harmonic coefficients. The results indicate that using regional harmonic basis functions, specifically spherical cap harmonic analysis (SCHA) functions, leads to a close estimation of LGD compared to the L2 JPL. The regional harmonic basis function exhibits a root mean square error (RMSE) of 3.71 × 10−4 mGal. This represents a substantial improvement over the RMSE of the L2 JPL, which is 6.36 × 10−4 mGal. Thus, it can be concluded that the use of local geo-potential coefficients obtained from SCHA is a reliable method for extracting nearly the full gravitational signal within a spherical cap region, after validation of this method. The SCHA model provides significant realistic information as it addresses the mass gain and loss across various regions in Antarctica.

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“…We have made several geologic/tectonic interpreted of satellite magnetic anomalies see [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Inversion of Magnetic Measurements of the Swarm A Satellite of the Bangui Magnetic Anomaly

Ki¹,

Pt²,

Toronyi³

et al. 2021

Int J Magnetics Electromagnetism

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We wanted to make a satellite altitude magnetic anomaly map of the large magnetic anomaly in the Central African Republic, the Bangui magnetic anomaly, with data from the Swarm satellites. In the first part of our study, we summarize the earlier investigations and their interpretation. In the second we discuss our data processing applied to produce a magnetic anomaly map. We used the IGRF 12 th to remove the long-wavelength regional anomalies. We will use an inverse procedure, which always requires a solution of the direct problem, and a horizontal polygonal prism given in the Descartes coordinate system. For this, reason the total magnetic anomaly was transformed into the Descartes coordinate system. The magnetization and its direction were used from our previous paper. The inverse problem is solved by the Simplex procedure. Our selected polygon has 14 geometrical parameters however, the inverse problem that is the numerical determination of the minimum problem is solved in the 14 dimensions. The result of our inverse problem was the 12 horizontal coordinates and the two upper and lower data of the polygon. The origin of the Bangui anomaly has been discussed in several scientific reports, either as a deep crustal tectonic feature or the result of a large external impactor. However, according to our inversion computations we cannot make any unambiguous finding for the origin of this feature. The inaccuracy in our total anomaly map is given by the Gaussian error propagation.

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Interpretation of CHAMP magnetic anomaly data over the Pannonian Basin region using lower altitude horizontal gradient data

Cited by 5 publications

References 5 publications

Interpretation of the Magnetic Measurements of the Swarm-A Satellite over Central Europe

Interpretation of the Magnetic Measurements of the Swarm-A Satellite over Central Europe

Antarctic Time-Variable Regional Gravity Field Model Derived from Satellite Line-of-Sight Gravity Differences and Spherical Cap Harmonic Analysis

Inversion of Magnetic Measurements of the Swarm A Satellite of the Bangui Magnetic Anomaly

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