1887

Abstract

Summary

We present several new downward continuation methods based on numerical solution of the mean-value theorem (NSMV). The proposed methods, by using vertical derivative in NSMV, are convergent and accurate. Meanwhile, these processes are not sensitive to noise and have little boundary effect. The NSMV for downward continuation is applied to the synthetic data to obtain precise results and discriminate small scale sources. We also give a real example of the NSMV for downward continuation. Compared with the original lower fields, the character of the fading anomalies of upper level emerges properly in downward continuation results.

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/content/papers/10.3997/2214-4609.201801462
2018-06-11
2024-04-20
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References

  1. Butcher, J. C.
    (2008). Numerical methods for ordinary differential equations. John Wiley & Sons.
    [Google Scholar]
  2. Cooper, G.
    (2004). The stable downward continuation of potential field data. Exploration Geophysics, 35(4), 260–265.
    [Google Scholar]
  3. Ducruix, J., Le, M. J. L., & Courtillot, V.
    (1974). Continuation of three-dimensional potential fields measured on an uneven surface. Geophysical Journal International, 38(38), 299–314.
    [Google Scholar]
  4. Fedi, M., & Florio, G.
    (2002). A stable downward continuation by using the isvd method. Geophysical Journal International, 151(1), 146–156.
    [Google Scholar]
  5. Leao, J. W., & Silva, J. B.
    (1989). Discrete linear transformations of potential field data. Geophysics, 54(4), 497–507.
    [Google Scholar]
  6. Pawlowski, R. S.
    (1995). Preferential continuation for potential-field anomaly enhancement. Geophysics, 60(2), 390–398.
    [Google Scholar]
  7. Roy, A.
    (1967). Convergence in downward continuation for some simple geometries. Geophysics, 32(5), 853–866.
    [Google Scholar]
  8. Zhang, C., Huang, D. N., Liu, J.
    (2017). Milne method for downward continuation of gravity field. Chinese Journal of Geophysics (in Chinese), 60(11), 4212–4220.
    [Google Scholar]
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