A LINEAR SAMPLING METHOD FOR DETECTING CRACKS IN 3D ELASTIC WAVE FIELD

Abstract

A characteristic function for the near-field equation is developed to reconstruct cavities and/or cracks in 3D elastic wavefield. The method itself is originated from the linear sampling method developed by Colton and Kirsch. The present method uses the singular value decomposition of the near-field operator, that realizes a simplified method to reconstruct cavities and/or cracks. Several numerical calculations are carried out to verify the effectivness of the present formulation.