Journal of Jilin University(Earth Science Edition) ›› 2015, Vol. 45 ›› Issue (3): 934-940.doi: 10.13278/j.cnki.jjuese.201503302

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Analysis of the Potential Field Downward Continuation Iteration Method

Yu Dewu, Gong Shengping   

  1. Institute of Geophysical & Geochemical Exploration, Chinese Academy of Geological Sciences, Langfang 065000, Hebei, China
  • Received:2014-06-25 Published:2015-05-26

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Abstract:

The substance of the potential field downward continuation iteration method is an operating process of "upward continuation rather than downward continuation" based on the criterion of "iteration result tend to be the observation data". We have analyzed the operational mechanism of the method by chasing its operation routine, and obtained the dynamic rule of the data flow in spatial domain. It turned out that the iteration method for a downward continuation leads to an upward continuation of the potential field on the individual levels. The relationship between the iteration period n and the height h of the upward continuation is n~(n+1)h.Shown in an alternating serie of satisfying Leibniz theorem to each iteration result in spatial domain, the convergence of this method is obtained. The convergence can also be verified by using the criterion of minimizing the difference between measured value and calculated data. The mathematical reasoning and numerical computation results show that an initial value of the iteration method can be arbitrary. Also, we have studied the effect of the iteration tolerance criterion, and pointed out the possibility that a tolerance might never be satisfied in practice if the criterion is not fitted.

Key words: potential field, downward continuation, convergence, spatial domain, iteration method, frequency domain, fast Fourier transformation (FFT)

CLC Number: 

  • P631.2

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