SOME STUDIES RELATING TO NONUNIQUENESS IN GRAVITY AND MAGNETIC INVERSE PROBLEMS

作者: Mahboub Al‐Chalabi

DOI: 10.1190/1.1440219

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摘要: Polygonal models which are of uniform density or magnetization contrast and contain no cavities sufficient to ensure the uniqueness solutions in gravity magnetic problems. Nonuniqueness is then attributed a number other factors discussed detail. We study problem nonuniqueness using mainly parameter hyperspace ambiguity takes form scatter local minima continuous domain bounded by contour whose value determined amplitude observational errors. The possible being examined contained region would have unique solution under exact conditions decreases extent as causing decrease. Thus, favorable conditions, large degree may occur. By starting search from good initial point based on all available information, we obtain satisfactory without specifying any parameters defining model. Different...

参考文章(9)
L. L. Nettleton, Geophysical prospecting for oil ,(1940)
H. H. Rosenbrock, An Automatic Method for Finding the Greatest or Least Value of a Function The Computer Journal. ,vol. 3, pp. 175- 184 ,(1960) , 10.1093/COMJNL/3.3.175
M. H. P. Bott, A SIMPLE CRITERION FOR INTERPRETING NEGATIVE GRAVITY ANOMALIES GEOPHYSICS. ,vol. 27, pp. 376- 381 ,(1962) , 10.1190/1.1439026
R. A. SMITH, SOME DEPTH FORMULAE FOR LOCAL MAGNETIC AND GRAVITY ANOMALIES Geophysical Prospecting. ,vol. 7, pp. 55- 63 ,(1959) , 10.1111/J.1365-2478.1959.TB01453.X
D. S. Parasnis, Principles of applied geophysics Gff. ,vol. 84, pp. 534- 535 ,(1962) , 10.1080/11035896209447317
D. C. Skeels, AMBIGUITY IN GRAVITY INTERPRETATION GEOPHYSICS. ,vol. 12, pp. 43- 56 ,(1947) , 10.1190/1.1437295
The Determination of the Masses Necessary to Produce a Given Gravitational Field Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 194, pp. 332- 347 ,(1948) , 10.1098/RSPA.1948.0084