A dual‐grid nonlinear inversion technique with applications to the interpretation of dc resistivity data

@article{TorresVerdn2000ADN,
  title={A dual‐grid nonlinear inversion technique with applications to the interpretation of dc resistivity data},
  author={Carlos Torres‐Verd{\'i}n and Vladimir Druskin and Sheng Fang and Leonid A. Knizhnerman and Alberto Malinverno},
  journal={Geophysics},
  year={2000},
  volume={65},
  pages={1733-1745}
}
We develop a solution to the nonlinear inverse problem via a cascade sequence of auxiliary least‐squares minimizations. The auxiliary minimizations are nonlinear inverse problems themselves, except that they are implemented with an approximate forward problem that is at least an order of magnitude faster to solve than the algorithm used to simulate the measurements. Any given auxiliary minimization in the cascade is fully selfcontained and yields a solution of the unknown model parameters. This… 
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