THE DETERMINATION OF THE LONG DIMENSION OF CONDUCTING ORE BODIES

Geophysics ◽  
1956 ◽  
Vol 21 (2) ◽  
pp. 470-477
Author(s):  
A. R. Clark
Keyword(s):  
The Body ◽  
Prolate Spheroidal ◽  
Current Electrode ◽  
Laplace's Equation ◽  
Conducting Body ◽  
Resistivity Profile ◽  
Ore Bodies ◽  
Prolate Spheroidal Coordinates ◽  
Spheroidal Coordinates

A solution of Laplace’s equation in prolate spheroidal coordinates has been used to show that the resistivity profile obtained, when one current electrode is in the conducting body, may be used to obtain an estimate of the extent of the body along the long axis. The theoretical and experimental curves from a dipping conductor are compared.

Convective and Microwave Drying of Prolate Spheroidal Solids: Modeling and Simulation

2019 ◽  
Vol 391 ◽  
pp. 233-238
Author(s):  
E. Gomes da Silva ◽  
E. Santana de Lima ◽  
W.M. Paiva Barbosa de Lima ◽  
A.G. Barbosa de Lima ◽  
J.J. Silva Nascimento ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Heat Balance ◽  
Diffusion Theory ◽  
Microwave Drying ◽  
Drying Process ◽  
Balance Equations ◽  
Prolate Spheroidal ◽  
Moisture Migration ◽  
Prolate Spheroidal Coordinates ◽  
Spheroidal Coordinates

This paper focuses some fundamental aspects of combined convective and microwave drying of prolate spheroidal solids. A transient mathematical modeling based on the diffusion theory (mass and heat balance equations) written in prolate spheroidal coordinates was derived and the importance of this procedure on the analysis of the drying process of wet porous solid, is also presented. Results pointed to the behavior of the moisture migration and heating of the solid with different aspect ratio. Solids with higher area/volume relationships dry and heat faster.

THE DETERMINATION OF AN INFINITE INCLINED DIKE FROM THE RESULTS OF GRAVITY AND MAGNETIC SURVEYS

Geophysics ◽  
1948 ◽  
Vol 13 (3) ◽  
pp. 437-442 ◽  
Author(s):  
Laszlo Egyed
Keyword(s):  
Magnetic Susceptibility ◽  
Magnetic Anomaly ◽  
The Body ◽  
Gravitational Gradient ◽  
Ore Bodies ◽  
Gravity And Magnetic ◽  
Anomalous Density

The equations are given for the gravitational gradient and curvature, and for the horizontal and vertical components of the magnetic anomaly for ore bodies of the Kursk type. It is then shown how from these equations the depth, width of crest, angle of dip, anomalous density and magnetic susceptibility of the body may be determined.

Induced polarization in disseminated sulfide ores containing elongated mineralization

Geophysics ◽  
1981 ◽  
Vol 46 (9) ◽  
pp. 1258-1268 ◽  
Author(s):  
J. Wong ◽  
D. W. Strangway
Keyword(s):  
Electric Fields ◽  
Effective Conductivity ◽  
Dipole Moments ◽  
Two Component System ◽  
Prolate Spheroidal ◽  
Helmholtz Equations ◽  
Electrochemical Charge Transfer ◽  
Electrochemical Model ◽  
Prolate Spheroidal Coordinates ◽  
Spheroidal Coordinates

A disseminated sulfide ore is represented by a two‐component system in which metallically conducting prolate spheroidal particles (simulating elongated mineralization) are randomly scattered throughout an electrolytic host. The Helmholtz equations describing the spatial and frequency dependence of anions and cations in the electrolyte near the surface of a particle are solved in prolate spheroidal coordinates. Expressions for the frequency‐dependent dipole moment induced on the particle by external electric fields transverse or parallel to the long axis of the particle are found by examining boundary conditions related to electrochemical charge transfer between the metallic particle and the electrolyte. The dipole moments of individual particles can be used to determine the effective conductivity spectrum of the mixture as a whole via the simple Maxwell formula or a novel recursive calculation which is accurate for large‐volume fractions of particles. Examples of conductivity spectra from this electrochemical model incorporating elongated particles are presented, and comparison of results with appropriate experimental data indicates good agreement.

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