We present a new method involving the inversion of the scaling function, a quantity that is calculated along the ridges in 3D space. The inversion is based on the Multi-HOmogeneity Depth Estimation (MHODE, ) and enjoys the important feature of not being dependant on density, but only on the source geometry. In order to perform the inversion, it is necessary first to compute the scaling function directly from the data in 3D space along the ridges ( ) and this step can be done by computing the field at different levels. We used 2D Talwani’s formula as forward problem ( ). A set of non-linear equations is then formed, where the unknown quantities are the source coordinates. We used the Very Fast Simulated Annealing (VFSA) algorithm ( ) to solve such a system. We will show the application of our approach to the synthetic example of a salt dome like structure having an inhomogeneous density contrast and a real case of the Mors salt dome (Denmark).


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  1. Blakely, R. J.
    [1996] Potential Theory in gravity and magnetic applications. Cambridge University Press.
    [Google Scholar]
  2. Fedi, M.
    [2007] DEXP: A fast method to determine the depth and the structural index of potential fields sources. Geophysics, 72(1),
    [Google Scholar]
  3. Fedi, M., FlorioG., and QuartaT.
    [2009] Multiridge analysis of potential fields: Geometric method and reduced Euler deconvolution. Geophysics, 74(4), L53–L65.
    [Google Scholar]
  4. Fedi, M., FlorioG., and PaolettiV.
    [2015] MHODE: a local-homogeneity theory for improved source-parameter estimation of potential fields. Geophysical Journal International, 202(2), 887–900.
    [Google Scholar]
  5. Florio, G., and FediM.
    [2014] Multiridge Euler deconvolution. Geophysical Prospecting, 62(2), 333–351.
    [Google Scholar]
  6. Ingber, L.
    [1989] Very fast simulated reannealing. Mathematical and Computer Modelling, 12(8), 967–993.
    [Google Scholar]
  7. Krahenbuhl, R. A., and LiY.
    [2006] Inversion of gravity data using a binary formulation. Geophysical Journal International, 167, 543–556.
    [Google Scholar]
  8. Sen, M. K., and Stoffa, P. L.
    [2013] global optimization method in geophysical inversion. Cambridge University Press.
    [Google Scholar]
  9. Talwani, M., WorzelJ. L., and LandismanM.
    [1959] Rapid gravity computations for two-dimensional bodies with application to the Mendocino submarine fracture zone. Journal of Geophysical Research, 64(1), 49–59.
    [Google Scholar]

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