Geophysics and Geophysical Exploration (지구물리와물리탐사)

Korean Society of Earth and Exploration Geophysicists (한국지구물리·물리탐사학회)
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Extension for Downward Continuation of the Method of "Upward Continuation of Potential Field on Spherical Patch Area"

"구면부분지역에서 퍼텐셜마당의 상향연속"의 하향연속 확장적용

  • Received : 2012.12.18
  • Accepted : 2013.01.31
  • Published : 2013.02.28
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Abstract

We formerly reported a new method for the upward continuation of potential field on spherical patch area including Earth's curvature, which has been neglected in most studies on rectangular area with flat Earth assumption. This new method is applicable to downward continuation as well by only assigning corresponding value for the ratio of two radii; $r_2/r_1$, i.e., target radius $r_2$ versus datum radius $r_1$. In addition, the inherent problem of this method due to spherical surface geometry is described, and its one possible remedy is given.

우리는 구면일부지역에서의 퍼텐셜마당에 대하여 구면의 곡률을 고려하는 새로운 상향연속방법을 이전에 보고하였다. 그런데, 이 방법은 실제로 $r_2/r_1$의 비율(즉, 목표면의 반경 $r_2$ 대 자료면의 반경 $r_1$) 만을 달리함으로써 하향연속에도 그대로 사용될 수 있다. 한편, 이 방법에 내재된 구면의 기하학적 성질에 기인하는 문제와 그에 대한 대책을 기술하였다.

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References

  1. Na, S. H., Chung, T. W., and Shin, Y. H., Upward Continuation of Potential Field on Spherical Patch Area, Jigu-Mulli-wa-Mulli-Tamsa, 15(4), 245-248 (2012). https://doi.org/10.7582/GGE.2012.15.4.245
  2. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1996, Numerical Recipes in Fortran 77 The Art of Scientific Computing; vol. 1 of 2nd and corrected edition, Cambridge University Press, New York. (same description in the first edition as well).