An iterative method for simultaneous determination of bulk and shear moduli and density variations
The pulse-spectrum technique (PST), an iterative numerical method, is extended to solve the three-parameter inverse problems of two-dimensional and three-dimensional linear elastic wave equations, i.e., to determine simultaneously two-dimensional and three-dimensional bulk and shear moduli and density variations from surface data. Numerical simulations of simple but non-trivial examples are carried out on coarse computational grids to test the feasibility and to study the general characteristics of PST without the real measurement data. It is found that PST under these conditions does give reasonably good results. Moreover, a comprehensive discussion of the numerical results, their implication in actual implementing of PST, and the future improvement on PST to attend higher resolution with little additional computing costs is given.
initial-boundary value problem of hyperbolic system transformed into positive-definite elliptic boundary value problem
discretized into algebraic system with first order accuracy
three- parameter inverse problems of two-dimensional and three-dimensional linear elastic wave equations
determine simultaneously two-dimensional and three-dimensional bulk and shear moduli and density variations from surface data
scientific article; zbMATH DE number 3917820