Magnetic interpretation in 3‐D using Euler deconvolution

Reid, Alan; Allsop, J. M.; Granser, Harold; Millet, Anthony J.; Somerton, I. W.

doi:10.1190/1.1892190

Cited by 7 publications

(7 citation statements)

References 2 publications

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“…There is a common fallacy, that "the SI for a fault is zero". Reid et al (1990) showed that an SI of zero could be used for a contact (faulted or not) of infinite depth extent. A modified form of the Euler equation (Equation 1) was necessary.…”

Section: Discussionmentioning

confidence: 99%

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Euler magnetic structural index of a thin‐bed fault

Reid

2003

GEOPHYSICS

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Section: Discussionmentioning

confidence: 99%

“…Euler deconvolution (Thompson, 1982;Reid et al, 1990) has come into wide use as an aid to interpreting profile or gridded magnetic survey data. It provides automatic estimates of source location and depth.…”

Section: Introductionmentioning

confidence: 99%

Euler magnetic structural index of a thin‐bed fault

Reid

2003

GEOPHYSICS

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“…Recently, Euler deconvolution (Thompson 1982; Reid et al 1990) has come into wide use as an aid to model gravity/magnetic data, whether along profiles or on grids, and to configure and locate causative sources of the recorded anomalies. Unlike earlier inversion methods, the Euler deconvolution technique requires no former knowledge of the source body except for an index describing its geometrical configuration.…”

Section: Introductionmentioning

confidence: 99%

Modelling magnetic anomalies of solid and fractal bodies with defined boundaries using the finite cube elements method

Mostafa¹

2009

Geophysical Journal International

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S U M M A R YThe finite cube elements method (FCEM) is a numerical tool designed for modelling gravity anomalies and estimating structural index (SI) of solid and fractal bodies with defined boundaries, tilted or in normal position and with variable density contrast. In this work, we apply FCEM to modelling magnetic anomalies and estimating SI of bodies with non-uniform magnetization having variable magnitude and direction.In magnetics as in gravity, FCEM allows us to study the spatial distribution of SI of the modelled bodies on contour maps and profiles. We believe that this will impact the forward and inverse modelling of potential field data, especially Euler deconvolution.As far as the author knows, this is the first time that gravity and magnetic anomalies, as well as SI, of self similar fractal bodies such as Menger sponges and Sierpinsky triangles are calculated using FCEM. The SI patterns derived from different order sponges and triangles are perfectly overlapped. This is true for bodies having variable property distributions (susceptibility or density contrast) under different field conditions (in case of magnetics) regardless of their orientation and depth of burial. We therefore propose SI as a new universal fractal-orderinvariant measure which can be used in addition to the fractal dimensions for formulating potential field theory of fractal objects.

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“…The classical inversion of potential field data dates back to the application of geophysical prospecting. Recently, Euler deconvoloution (Thompson 1982; Reid et al 1990) has come into wide use as an aid to model gravity/magnetic data, whether along profiles or on grids, and to configure and locate causative sources of the recorded anomalies. Unlike earlier inversion methods, the Euler deconvolution technique requires no former knowledge of the source body except an index describing its geometrical configuration.…”

Section: Introductionmentioning

confidence: 99%

Finite cube elements method for calculating gravity anomaly and structural index of solid and fractal bodies with defined boundaries

Mostafa¹

2008

Geophysical Journal International

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S U M M A R YIn this paper, we present the finite cube elements method (FCEM); a novel numerical tool for calculating the gravity anomaly g and structural index SI of solid models with defined boundaries and variable density distributions, tilted or in normal position (e.g. blocks, faulted blocks, cylinders, spheres, hemispheres, triaxial ellipsoids). Extending the calculation to fractal objects, such as Menger sponges of different orders and bodies defined by polyhedrons, demonstrates the robustness of FCEM. In addition, approximating the cube element by a sphere of equal volume makes the calculation of gravitation and related derivatives much simpler. In gravity modelling of a sphere, cubes with edges of 100 m and 200 m achieve a good compromise between running time and overall error.Displaying the distribution of SI of the studied models on contour maps and profiles will have a strong impact on the forward and inverse modelling of potential field data, especially for Euler deconvolution.For Menger sponges, plots of gravity elements g and its derivatives show similar patterns independent of fractal order. Moreover, both the pattern and magnitude of SI are independent of fractal order, allowing the use of SI as a new invariant measure for fractal objects. However, SI pattern and magnitude strongly depend on the depth to the buried bodies as do other elementsIn this study, we also present a new type of plot; the structural index against distance variation diagrams from which we extract the three critical SI (CSI) values, one per axis. The inversion of gravity anomaly data at CSI values gives the optimal mean location of the buried body.

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Magnetic interpretation in 3‐D using Euler deconvolution

Cited by 7 publications

References 2 publications

Euler magnetic structural index of a thin‐bed fault

Euler magnetic structural index of a thin‐bed fault

Modelling magnetic anomalies of solid and fractal bodies with defined boundaries using the finite cube elements method

Finite cube elements method for calculating gravity anomaly and structural index of solid and fractal bodies with defined boundaries

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