Evaluation of elastic properties in 2-D non-homogeneous solids

This paper is concerned with inverse evaluation of the material property in two-dimensional non-homogeneous elastic solids. It seeks to recover variable subsurface Lame's coefficients which are functions of depth. The method considers a temporal interval for which time dependent measurements are provided. It formulates an optimal estimation problem which seeks to minimize the error difference between the given data and the response from the system. The method leads to an iterative algorithm which, at every iteration, requires the solution to a two-point boundary value problem. Numerical results indicate that a close estimate of the unknown functions can be obtained based on the boundary measurements only.