A reduced model to locate low contrast inclusions in poroelastic media

摘要: Abstract This paper introduces a numerical method to localize inclusions having slightly different elastic coefficients than those of fully saturated poroelastic matrix, whose detection is often difficult. can be used find weakly stiffer or softer objects in soils diseased biological tissues at early stages. To this end, we propose reduced model from the Biot’s equations by splitting fluid pressure into two parts: one embedded an elasticity and other as corrector term. By applying small amplitude homogenization method, successfully retrieve position extension media employing simplified model. Numerical results show good agreement for location when contrast below 30% noise level up 5% frequencies 50 Hz.