Ramanan, V.S. and Muthukumar, M. and Gnansekaran, S. and Reddy, M.J.V. and Emmanuel, B. (1999) Green’s functions for the Laplace equation in a 3-layer medium, boundary element integrals and their application to cathodic protection. Engineering Analysis with Boundary Elements, 23. pp. 777-786.

PDF - Published Version Restricted to Registered users only Download (336Kb) | Request a copy

Abstract

We report in this paper a set of nine Green’s functions for the Laplace equation for an infinite 3-layer medium in which a layer of finite width is sandwiched between two semi-infinite domains. Typical 3D plots of these Green’s functions are computed and presented. Taking an offshore platform as a prime example of a structure in a 3-layer medium (atmosphere, ocean and soil), we work out the boundary element integrals using macro elements such as the tubulars. Constant elements reduce several of these boundary integrals to analytical forms. As an application, we discuss the cathodic protection modelling of offshore structures using the ‘boundary element method’.

Item Type:	Article
Uncontrolled Keywords:	Boundary element method; Green’s functions; Cathodic protection; Laplace equation
Subjects:	Electrodics and Electrocatalysis
Divisions:	UNSPECIFIED
Depositing User:	ttbdar CECRI
Date Deposited:	08 May 2012 06:30
Last Modified:	08 May 2012 06:30
URI:	http://cecri.csircentral.net/id/eprint/1264

Actions (login required)

View Item