Abstract
The Pulse-Spectrum Technique (PST), an iterative numerical algorithm for solving multi-parameter inverse problems of partial differential equations, is modified by using the Garlerkin method to solve the Fredholm integral equation of the first kind in each iteration. In this way, the computation of the complicated Green's matrix in the integrand can be avoided. Details are presented for simultaneous determination of bulk and shear moduli and density variation of the two-dimensional elastic wave equation. Numerical simulation is carried out for an example in the geophysical prospecting to test the feasibility and to study the intrinsic characteristics of the modified PST (MPST) without the real measurement data. It is shown that MPST does give excellent results.
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