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Mathematics > Analysis of PDEs

arXiv:1804.00878 (math)
[Submitted on 3 Apr 2018]

Title:An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves

Authors:Eric Bonnetier, Faouzi Triki, Qi Xue
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Abstract:The electroseismic model describes the coupling phenomenon of the electromagnetic waves and seismic waves in fluid immersed porous rock. Electric parameters have better contrast than elastic parameters while seismic waves provide better resolution because of the short wavelength. The combination of theses two different waves is prominent in oil exploration. Under some assumptions on the physical parameters, we derived a Hölder stability estimate to the inverse problem of recovery of the electric parameters and the coupling coefficient from the knowledge of the fields in a small open domain near the boundary. The proof is based on a Carleman estimate of the electroseismic model.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35R30
Cite as: arXiv:1804.00878 [math.AP]
  (or arXiv:1804.00878v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.00878
Related DOI: https://doi.org/10.1088/1361-6420/ab01aa

Submission history

From: Qi Xue [view email]
[v1] Tue, 3 Apr 2018 09:20:55 UTC (18 KB)
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