Euler deconvolution of gravity anomalies from thick contact/fault structures with negative structural index

2009 ◽  
Author(s):  
Petar Stavrev ◽  
Alan Reid
Keyword(s):  
Gravity Anomalies ◽  
Euler Deconvolution ◽  
Structural Index ◽  
Fault Structures

Euler deconvolution of gravity anomalies from thick contact/fault structures with extended negative structural index

Geophysics ◽  
2010 ◽  
Vol 75 (6) ◽  
pp. I51-I58 ◽  
Author(s):  
Petar Stavrev ◽  
Alan Reid
Keyword(s):  
Field Data ◽  
Gravity Anomalies ◽  
Potential Fields ◽  
Contact Structures ◽  
Euler Deconvolution ◽  
Structural Index ◽  
Infinite Slab ◽  
Fault Structures ◽  
Structural Indices ◽  
Analytical Expressions

The concept of extended Euler homogeneity of potential fields is examined with respect to all variables of length dimension in their analytical expressions. This reveals the possible existence of positive degrees of homogeneity or corresponding negative structural indices considered as extensions of the Thompson’s structural indices in Euler deconvolution. This approach is implemented for a contact gravity model, represented by a 2D semi-infinite slab with large thickness relative to its depth. Applying Euler deconvolution on synthetic and field data indicates that the positive degree of homogeneity, i.e., the extended negative structural index, is the appropriate one for the inversion of gravity anomalies from contact structures.

CHARACTERIZATION OF THE POTIGUAR RIFT STRUCTURE BASED ON EULER DECONVOLUTION

2014 ◽  
Vol 32 (1) ◽  
pp. 109 ◽  
Author(s):  
Rafael Saraiva Rodrigues ◽  
David Lopes de Castro ◽  
João Andrade dos Reis Júnior
Keyword(s):  
Potential Field ◽  
Window Size ◽  
Gravity Anomalies ◽  
Euler Deconvolution ◽  
Structural Index ◽  
Potential Field Data ◽  
3D Euler Deconvolution ◽  
Maximum Tolerance ◽  
Para Determinar ◽  
Spatial Window

ABSTRACT. The Euler deconvolution is a semi-automatic interpretation method of potential field data that can provide accurate estimates of horizontal position and depth of causative sources. In this work we show the application of 3D Euler Deconvolution in gravity and magnetic maps to characterize the rift structures of the Potiguar Basin (Rio Grande do Norte and Ceará States, Brazil) using the structural index as a main parameter, which represents an indicator of the geometric form of the anomalous sources. The best results were obtained with a structural index equal to zero (for residual gravity anomalies) and 0.5 (for magnetic anomalies reduced to the pole), a spatial window size of 10 km, which is used to determine the area that should be used in the Euler Deconvolution calculation, and maximum tolerance of error ranging from 0 to 7%. This parameter determines which solutions are acceptable. The clouds of Euler solutions allowed us to characterize the main faulted limits of the Potiguar rift, as well as its depth, dip and structural relations with the Precambrian basement. Keywords: Euler deconvolution, potential field, structural index, Potiguar rift.    RESUMO. A deconvolução de Euler é um método de interpretação semiautomático de dados de métodos potenciais, capaz de fornecer uma estimativa da posição horizontal e da profundidade de fontes anômalas. Neste trabalho, mostraremos a aplicação da deconvolução de Euler 3D em mapas gravimétricos e magnéticos para caracterizar as estruturas rifte da Bacia Potiguar (RN/CE), utilizando como principal parâmetro o índice estrutural, que representa um indicador da forma geométrica da fonte anômala. Os melhores resultados foram obtidos com um índice estrutural igual a zero (para as anomalias gravimétricas residuais) e 0,5 (para as anomalias magnéticas reduzidas ao polo), tamanho da janela espacial igual a 10 km, que ´e utilizada para determinar a área que deve ser usada para o cálculo da deconvolução de Euler, e tolerância máxima do erro variando de 0 a 7%, que determina quais soluções são aceitáveis. As nuvens de soluções de Euler nos permitiram caracterizar os principais limites falhados do rifte Potiguar, bem como suas profundidades, mergulho e relações estruturais com o embasamento Pré-cambriano. Palavras-chave: deconvolução de Euler, métodos potenciais, índice estrutural, rifte Potiguar.

PENCIRIAN SESAR-SESAR MAJOR DI SEKITAR SEMENANJUNG MALAYSIA BERDASARKAN TEKNIK SATELIT GRAVITI

2018 ◽  
Vol 80 (2) ◽  
Author(s):  
Nurul Fairuz Diyana Bahrudin ◽  
Umar Hamzah
Keyword(s):  
Gravity Data ◽  
Gravity Anomalies ◽  
Peninsular Malaysia ◽  
Gravity Inversion ◽  
Kuala Lumpur ◽  
Euler Deconvolution ◽  
Satellite Gravity ◽  
3D Euler Deconvolution ◽  
Major Fault ◽  
Fault Structures

Major fault structures of Peninsular Malaysia were interpreted by satellite gravity data obtained from EGM2008. Filtering including THD, TVD, TDR, TDX and Euler Deconvolution inversion techniuques were applied to the data and successfully delineated the major faults especially located in the area separating the granite and sedimentary rock such as Bok Bak, Kuala Lumpur, Bukit Tinggi and Lebir faults. The main finding of this research is the boundary separating the western and eastern belt of Peninsular Malaysia namely the Bentong-Raub Suture by the abrupt changes of gravity anomalies between the two belts. The average depths and dips of Kuala Lumpur, Bukit Tinggi and Seremban faults were estimated by gravity inversion 3D Euler Deconvolution. 

Estimating the nature and the horizontal and vertical positions of 3D magnetic sources using Euler deconvolution

Geophysics ◽  
2013 ◽  
Vol 78 (6) ◽  
pp. J87-J98 ◽  
Author(s):  
Felipe F. Melo ◽  
Valeria C. F. Barbosa ◽  
Leonardo Uieda ◽  
Vanderlei C. Oliveira Jr. ◽  
João B. C. Silva
Keyword(s):  
Synthetic Data ◽  
Real Data ◽  
Angular Coefficient ◽  
Coefficient Estimates ◽  
Euler Deconvolution ◽  
Structural Index ◽  
Vertical Coordinate ◽  
Base Level ◽  
The One ◽  
Inclined Planes

We have developed a new method that drastically reduces the number of the source location estimates in Euler deconvolution to only one per anomaly. Our method employs the analytical estimators of the base level and of the horizontal and vertical source positions in Euler deconvolution as a function of the [Formula: see text]- and [Formula: see text]-coordinates of the observations. By assuming any tentative structural index (defining the geometry of the sources), our method automatically locates plateaus, on the maps of the horizontal coordinate estimates, indicating consistent estimates that are very close to the true corresponding coordinates. These plateaus are located in the neighborhood of the highest values of the anomaly and show a contrasting behavior with those estimates that form inclined planes at the anomaly borders. The plateaus are automatically located on the maps of the horizontal coordinate estimates by fitting a first-degree polynomial to these estimates in a moving-window scheme spanning all estimates. The positions where the angular coefficient estimates are closest to zero identify the plateaus of the horizontal coordinate estimates. The sample means of these horizontal coordinate estimates are the best horizontal location estimates. After mapping each plateau, our method takes as the best structural index the one that yields the minimum correlation between the total-field anomaly and the estimated base level over each plateau. By using the estimated structural index for each plateau, our approach extracts the vertical coordinate estimates over the corresponding plateau. The sample means of these estimates are the best depth location estimates in our method. When applied to synthetic data, our method yielded good results if the bodies produce weak- and mid-interfering anomalies. A test on real data over intrusions in the Goiás Alkaline Province, Brazil, retrieved sphere-like sources suggesting 3D bodies.

Correct structural index defined by base level estimates in Euler deconvolution

2017 ◽  
Author(s):  
Felipe Ferreira de Melo ◽  
Valeria Cristina Ferreira Barbosa
Keyword(s):  
Euler Deconvolution ◽  
Structural Index ◽  
Base Level

Effects of low-pass filtering on the calculated structural index from magnetic data

Geophysics ◽  
2011 ◽  
Vol 76 (4) ◽  
pp. L23-L28 ◽  
Author(s):  
Kristofer Davis ◽  
Yaoguo Li ◽  
Misac N. Nabighian
Keyword(s):  
Magnetic Data ◽  
Cutoff Wavelength ◽  
Euler Deconvolution ◽  
Structural Index ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Source Type ◽  
A Value ◽  
Low Pass ◽  
Unexploded Ordnance Detection

Euler and extended Euler deconvolution applications use an assumed structural index (SI) or calculate the SI, respectively, for magnetic anomaly data within a specified window. The structural index depends on the source type: specifically, the rate at which the field produced by the source decays. We have examined the effects that the application of low-pass filtering to magnetic data has on estimating the SI. Using a simple low-pass filter, we derived the SI for filtered-field solutions directly over, and away from, a target based on the magnetic potential of a vertical dipole [Formula: see text]. We validated this approach by applying extended Euler deconvolution to synthetic and field examples. In general, filtered magnetic data will decrease the numerically determined SI to a value lower than the theoretical one. The slope and cutoff wavelength of the filter directly affect the estimated SI solutions. The results prove that one must take into account filtering for the application of Euler deconvolution to locate dipole anomalies for unexploded ordnance detection.

Scattering, symmetry, and bias analysis of source‐position estimates in Euler deconvolution and its practical implications

Geophysics ◽  
2001 ◽  
Vol 66 (4) ◽  
pp. 1149-1156 ◽  
Author(s):  
J. B. C. Silva ◽  
V. C. F. Barbosa ◽  
W. E. Medeiros
Keyword(s):  
Vertical Position ◽  
Lower Sensitivity ◽  
Horizontal Position ◽  
Euler Deconvolution ◽  
Structural Index ◽  
Bias Analysis ◽  
Data Noise ◽  
Data Window ◽  
Symmetry Properties ◽  
Window Position

Despite being widely used, Euler deconvolution has received little attention in its theoretical aspects. We obtain analytical estimators [Formula: see text] and [Formula: see text] for the horizontal [Formula: see text] and the vertical [Formula: see text] source positions, which are the parameters to be estimated when the structural index is assigned a tentative value. By analyzing the estimators’ properties, we show two things. (1) Scattering of the alternative solutions associated with different data window positions has two components: data noise and the use of a wrong tentative value for the structural index, (2) The differences [Formula: see text] and [Formula: see text], as a function of the data window position, exhibit antisymmetric and symmetric behaviors, respectively, about [Formula: see text] when the magnetization and the geomagnetic field inclinations are 90°, 0°, or 45°. For intermediate inclinations there is a moderate departure from the symmetry properties. This analysis shows that the criterion for determining the structural index as the tentative value producing the smallest solution scattering is theoretically sound but occasionally fails in practice because data noise also contributes to solution scattering. In addition, the lower sensitivity of the averages of estimates of the horizontal position (as compared with the vertical position) occurs because [Formula: see text] displays an antisymmetric behavior with respect to the true horizontal position while the estimates of the vertical position display a symmetric behavior with respect to the same point.

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