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A Low-rank Approximation to the Hessian for 3D CSEM Gauss-Newton Inversion
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 76th EAGE Conference and Exhibition 2014, Jun 2014, Volume 2014, p.1 - 5
Abstract
Summary
Use of controlled-source electromagnetics in increasingly challenging exploration applications has led to the requirement for more powerful 3D inversion approaches. For 3D cases, application of Gauss-Newton algorithms is limited by the computational cost required to compute the Hessian matrix and solve for the model update. We consider a low-rank approximation to the Hessian matrix, which has the potential to reduce the numerical complexity drastically. The scheme is based on phase encoding groups of sources instead of incorporating sources individually. We demonstrate the feasibility of the approach by numerical examples and present an analysis of the errors introduced by the approximation.
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