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Non-Linear Constraints with Application to Self-Potential Source Inversion

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dc.contributor.author Minsley, Burke J.
dc.contributor.author Ajo-Franklin, Jonathan B.
dc.contributor.author Dale, Frank
dc.contributor.other Massachusetts Institute of Technology. Earth Resources Laboratory en_US
dc.date.accessioned 2012-01-05T20:06:02Z
dc.date.available 2012-01-05T20:06:02Z
dc.date.issued 2006-05
dc.identifier.uri http://hdl.handle.net/1721.1/67922
dc.description.abstract We investigate the use of non-linear constraints for geophysical inverse problems, with specific examples applied to source inversion of self-potential data. Typical regularization methods often produce smooth solutions by introducing a quadratic term in the objective function that minimizes the L2 norm of a low-order differential operator applied to the model. In some cases, however, the properties of interest may not vary smoothly. Two alternative constraints are examined that provide inversion stability while allowing for solutions with non-smooth properties. One method, often referred to as ‘compactness’ or ‘minimum support’, seeks to minimize the area (in 2D) or volume (in 3D) occupied by non-zero model parameters. The second method, ‘total variation’, minimizes an approximation of the L1 norm of the gradient of the model. Both approaches involve a non-linear regularization functional, and must therefore be solved iteratively. We discuss the practical aspects of implementing these regularization methods and compare several examples using self-potential source inversion on a synthetic model. We also apply the compactness constraint for self-potential source inversion using a field data example. en_US
dc.description.sponsorship Kuwait-MIT Center for Natural Resources and the Environment en_US
dc.description.sponsorship Massachusetts Institute of Technology. Earth Resources Laboratory en_US
dc.publisher Massachusetts Institute of Technology. Earth Resources Laboratory en_US
dc.relation.ispartofseries Earth Resources Laboratory Industry Consortia Annual Report;2006-10
dc.title Non-Linear Constraints with Application to Self-Potential Source Inversion en_US
dc.type Technical Report en_US
dc.contributor.mitauthor Minsley, Burke J.
dc.contributor.mitauthor Ajo-Franklin, Jonathan B.
dc.contributor.mitauthor Dale, Frank
dspace.orderedauthors Minsley, Burke J.; Ajo-Franklin, Jonathan B.; Morgan, Frank Dale en_US


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