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Journal ArticleDOI

Continuation of potential fields between arbitrary surfaces

R. O. Hansen, +1 more
- 01 Jun 1984 - 
- Vol. 49, Iss: 6, pp 787-795
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TLDR
In this article, an equivalent source algorithm is described for continuing either one-dimensional or two-dimensional potential fields between arbitrary surfaces, where the dipole surface is approximated as a set of plane faces with constant moments over each face.
Abstract
An equivalent source algorithm is described for continuing either one‐ or two‐dimensional potential fields between arbitrary surfaces. In the two‐dimensional case, the dipole surface is approximated as a set of plane faces with constant moments over each face. In the one‐dimensional case, the plane faces of the dipole surface reduce to straight line segments. Application of the algorithm to model and field examples of aeromagnetic data shows the method to be effective and accurate even when the terrain has strong topographic relief and is composed of highly magnetic volcanic rocks.

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Citations
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The historical development of the magnetic method in exploration

TL;DR: The magnetic method is the primary exploration tool in the search for minerals, oil and gas, geothermal resources, and groundwater, and for a variety of other purposes such as natural hazards assessment, mapping impact structures, and engineering and environmental studies as discussed by the authors.
Journal ArticleDOI

Magnetic anomaly interpretation across the southern central Andes (32°–34°S): The role of the Juan Fernández Ridge in the late Tertiary evolution of the margin

TL;DR: In this paper, the authors integrated both magnetic and terrestrial magnetometer data to study the tectonic structure of the convergent margin of Chile between 32°-34°S. Three magnetic domains have been identified: oceanic, continental margin and subaerial.
Journal ArticleDOI

Timing and geometry of early Gondwana breakup

TL;DR: In this paper, aeromagnetic data collected along the East Antarctic coast during five seasons were used to provide new constraints on the timing and geometry of the early Gondwana break-up.
Journal ArticleDOI

Historical development of the gravity method in exploration

TL;DR: The gravity method was the first geophysical technique to be used in oil and gas exploration and has continued to be an important and sometimes crucial constraint in a number of exploration areas as discussed by the authors.
Journal ArticleDOI

A scattered equivalent-source method for interpolation and gridding of potential-field data in three dimensions

Lindrith Cordell
- 01 Apr 1992 - 
TL;DR: In this article, the inverse distance Newtonian potential function is used to interpolate geophysical data observed at scattered discrete points in three dimensions by relating the point data to a continuous function of equivalent discrete point sources, located beneath some of the data points at a depth proportional to distance to the nearest neighboring data point.
References
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Journal ArticleDOI

Reduction of magnetic and gravity data on an arbitrary surface acquired in a region of high topographic relief

B. K. Bhattacharyya, +1 more
- 01 Dec 1977 - 
TL;DR: In this paper, it is shown that the analytical relationship between the total magnetic field or the gravity effect and equivalent magnetization or density on an arbitrary observational surface is given by a Fredholm integral equation of the second kind.
Journal ArticleDOI

Equivalent Sources Used As An Analytic Base For Processing Total Magnetic Field Profiles

TL;DR: A line-of-dipoles distribution, obtained by solving the linear inverse problem, provides an analytic base for computing the following quantities from an observed field: first and second vertical derivative fields, upward-and downward-continued fields, field reduced to the pole, amplitude spectrum of the field, and band-passed field.
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Reduction Of Unevenly Spaced Potential Field Data To A Horizontal Plane By Means Of Finite Harmonic Series

TL;DR: In this article, a method is developed for reducing to a common level gravity or magnetic anomaly data observed at unevenly spaced stations at various elevations above a reference plane, effected by means of finite harmonic series approximations in which the coefficients are determined by matrix methods and least squares.