Three-dimensional subterranean target identification by use of optimization techniques

In English The identification of a subterranean metallic ore from scattering experiments,
conducted on the surface of the ground or in a bore hole, is a classic geophysical
problem. In general this problem is not well-posed. However, a priori
information about the shape of the target provides enough regularization to
make the problem numerically stable. The problem is solved by minimizing
the mean-square error between an eleven parameter model, based on the
null field approach, and the data. The optimization is done with a Newton
technique in which a singular value decomposition of the model Jacobian is
employed. The algorithm is very stable to noise and makes good reconstructions
from feasible starting guesses, for realistically noise contaminated data.