EIT in a layered anisotropic medium

Giovanni Alessandrini; Maarten V. de Hoop; Romina Gaburro; Eva Sincich

doi:10.3934/ipi.2018028

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2018, Volume 12, Issue 3: 667-676. Doi: 10.3934/ipi.2018028

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EIT in a layered anisotropic medium

1.
Dipartimento di Matematica e Geoscienze, Università di Trieste, Via Valerio 12/1 -34127, Trieste, Italy
2.
Departments of Computational and Applied Mathematics, Earth Science, Rice University, Houston, Texas, USA
3.
Department of Mathematics and Statistics, Health Research Institute (HRI), University of Limerick, Castletroy, Limerick, V94 T9PX, Ireland

Received: July 31, 2017

Revised: November 30, 2017

Published: March 2018

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Abstract

We consider the inverse problem in geophysics of imaging the subsurface of the Earth in cases where a region below the surface is known to be formed by strata of different materials and the depths and thicknesses of the strata and the (possibly anisotropic) conductivity of each of them need to be identified simultaneously. This problem is treated as a special case of the inverse problem of determining a family of nested inclusions in a medium $Ω\subset\mathbb{R}^n$, $n ≥ 3$.

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Mathematics Subject Classification: Primary: 35R30; Secondary: 35J25, 86A20.

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