A three-dimensional inverse gravimetry problem for ice with snow caps

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Authors
Isakov, Victor
Leung, Shingyu
Qian, Jianliang
Advisors
Issue Date
2013-05
Type
Article
Keywords
Inverse gravimetry , Level set method , Alternating minimization , Weighted essentially non-oscillatory schemes , Green function
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Citation
Isakov, Victor; Leung, Shingyu; Qian, Jianliang. 2013. A three-dimensional inverse gravimetry problem for ice with snow caps. Inverse Problems and Imaging, v.7:no.2:523-544
Abstract

We propose a model for the gravitational field of a floating iceberg D with snow on its top. The inverse problem of interest in geophysics is to find D and snow thickness g on its known (visible) top from remote measurements of derivatives of the gravitational potential. By modifying the Novikov's orthogonality method we prove uniqueness of recovering D and g for the inverse problem. We design and test two algorithms for finding D and g. One is based on a standard regularized minimization of a misfit functional. The second one applies the level set method to our problem. Numerical examples validate the theory and demonstrate effectiveness of the proposed algorithms.

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Publisher
American Institute of Mathematical Sciences
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Series
Inverse Problems and Imaging;v.7:no.2
PubMed ID
DOI
ISSN
1930-8337
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