A Real Coded Genetic Algorithm Approach for Detection of Subsurface Isotropic and Anisotropic Inclusions

Abstract

An inverse problem is considered to identify the geometry of discontinuities in a conductive material with anisotropic conductivity from Cauchy data measurements taken on the boundary. In this study we propose a real coded genetic algorithm in conjunction with a boundary element method to detect an anisotropic inclusion, such as a circle, by a single boundary measurement. Numerical results are presented for both isotropic and anisotropic inclusions. The genetic algorithms based method developed in this article is found to be a robust, efficient method for detecting the size and location of subsurface inclusions.

Keywords:

• Genetic Algorithms
• Inclusion Detection
• Inverse Geometric Problems