Mining Geology
Print ISSN : 0026-5209
Some mathematical methods used in mineral exploration
Tetsuya SHOJI
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JOURNAL FREE ACCESS

1985 Volume 35 Issue 190 Pages 105-118

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Abstract

The effective exploration needs to get the geological data swiftly, and to analyze them quickly. The computer is the most powerful tool for this purpose. The followings are presented in this paper.
(1) The plane perpendicular to a folding axis has been calculated from bedding data (poles of bedding planes) by the least square method. The deviation of poles from the fitted plane gives the irregularity of the folding in a quantitative sense.
(2) The statistical analyses have proved that the low Na2O is good indicater to detect an alteration zone in geothermal fields as well as an exploration area of kuroko-type ore deposits.
(3) The geostatistical method has been applied to the analysis of an fumarole activity, and revealed the geological structure, and given a reliable heat flow in the area.
(4) A color graphic display is powerful to recognize an assay pattern. It can show the relation among three elements on a two dimensional space.
(5) A computer algorism, by which the direction of principal stress axes are estimated from a fracture pair, makes the analysis of stress filed easy.
(6) An algorism to determine the monoclinal structure has been also presented. A couple of new aspects, allowance and uncertainity, are necessary for the determination.
(7) A handheld computer is available to describe and to resistrate rock samples or drilling cores at an explaration site.
For the more effective exploration, we must develop techniques of on-line measurements of geochemical, geological and petrological data, of operation researches on the exploration system, and of computer graphics including geological aspects.

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