Computational recipes for electromagnetic inverse problems

Clicks: 20
ID: 307517
2012
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Abstract
The Jacobian of the non-linear mapping from model parameters to observations is a key component in all gradient-based inversion methods, including variants on Gauss-Newton and non-linear conjugate gradients. Here, we develop a general mathematical framework for Jacobian computations arising in electromagnetic (EM) geophysical inverse problems. Our analysis, which is based on the discrete formulation of the forward problem, divides computations into components (data functionals, forward and adjoint solvers, model parameter mappings), and clarifies dependencies among these elements within realistic numerical inversion codes. To be concrete, we focus much of the specific discussion on 2-D and 3-D magnetotelluric (MT) inverse problems, but our analysis is applicable to a wide range of active and passive source EM methods. The general theory developed here provides the basis for development of a modular system of computer codes for inversion of EM geophysical data, which we summarize at the end of the paper.
Reference Key
openalex_W2113979318 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors G. D. Egbert, Anna Kelbert
Journal geophysical journal international
Year 2012
DOI
10.1111/j.1365-246x.2011.05347.x
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Keywords Keywords not found

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