Maximum Entropy Technique for Electromagnetic or Seismic Inversion

摘要

A maximum entropy method (MEM) was applied to inversion of an underdetermined constitutive parameter (electrical conductivity, refractive index or reciprocal wave velocity) profile in a two dimensional region probed by ray data. In accord with the first Principle of Data Reduction, the probability of the distribution subject to measurement constraints and consistent totality of that parameter was maximized. An MEM algorithm is outlined and examples given of the inversion of synthetic ray data in a cell model of the earth. Computational properties of the algorithm relative to convergence, ray redundancy and noise in the ray data are described. The MEM was extended logically to include curved rays or to solve the more difficult problem of underground conductivity inversion from surface potential measurements. It is concluded that the examples of this particular MEM suggest an unsuspected capability for resolving two-dimensional parameter profile anomalies from a minimum of ray data. (ERA citation 05:029762)