Asymptotic Models for the Electric Potential across a Highly Conductive Casing - Archive ouverte HAL Access content directly
Journal Articles Computers & Mathematics with Applications Year : 2018

Asymptotic Models for the Electric Potential across a Highly Conductive Casing

(1) , (2, 3, 1) , (4, 5, 6)
1
2
3
4
5
6

Abstract

We analyze a configuration that involves a steel-cased borehole, where the casing that covers the borehole is considered as a highly conductive thin layer. We develop an asymptotic method for deriving reduced problems capable of efficiently dealing with the numerical difficulties caused by the casing when applying traditional numerical methods. We derive several reduced models by employing two different approaches, each of them leading to different classes of models. We prove stability and convergence results for these models. The theoretical orders of convergence are supported by numerical results obtained with the finite element method.
Fichier principal
Vignette du fichier
draft_revised_2.pdf (1.07 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01720235 , version 1 (28-02-2018)
hal-01720235 , version 2 (10-09-2018)

Identifiers

  • HAL Id : hal-01720235 , version 2

Cite

Aralar Erdozain, Victor Péron, David Pardo. Asymptotic Models for the Electric Potential across a Highly Conductive Casing. Computers & Mathematics with Applications, 2018. ⟨hal-01720235v2⟩
207 View
164 Download

Share

Gmail Facebook Twitter LinkedIn More