1975
DOI: 10.1190/1.1440593
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Spectral Analysis of Gravity and Magnetic Anomalies Due to Two‐dimensional Structures

Abstract: The expressions for the spectra of both gravity and magnetic anomalies due to a two‐dimensional structure consist of (except for a factor) sums of exponentials. The exponents of these exponentials are functions of frequency and the locations of the corners of the polygonal cross‐section of the structure. Two computationally feasible methods for determining the exponents from a given spectrum are described in this paper; they are essentially based on the generation of a system of linear equations. The unknown c… Show more

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Cited by 152 publications
(69 citation statements)
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“…This approach is known as the centroid depth method (Bansal et al, 2011). Bhattacharyya and Leu (1975) derived the equations for calculating the centroid and top depths for 2D structures with arbitrary polygon cross-sections, and Okubo et al (1985) suggested that the same equations are applicable to any 3D shaped bodies. The DBMS can be calculated as follows.…”
Section: Centroid Depth Methods For Calculating Dbms 221 Random Magmentioning
confidence: 99%
“…This approach is known as the centroid depth method (Bansal et al, 2011). Bhattacharyya and Leu (1975) derived the equations for calculating the centroid and top depths for 2D structures with arbitrary polygon cross-sections, and Okubo et al (1985) suggested that the same equations are applicable to any 3D shaped bodies. The DBMS can be calculated as follows.…”
Section: Centroid Depth Methods For Calculating Dbms 221 Random Magmentioning
confidence: 99%
“…It has been used extensively by many authors, namely [14] [15] [16]. The finite discrete Fourier transform is given by the equation:…”
Section: Spectral Analysismentioning
confidence: 99%
“…For this purpose, we used the spectral analysis technique first implemented by Spector & Grant (1970) and widely used thereafter (e.g. Bhattacharyya & Leu 1975;Studinger et al 1997;Ates & Kearey 2000;Gómez-Ortiz et al 2011). In this technique, the power spectrum of the gravity data is usually plotted against the angular frequency and the major density variation zones are interpreted from the slopes of the linear segments.…”
Section: Power Spectrum Analysis Of the Gravity Datamentioning
confidence: 99%