Abstract
We are intrigued by Dr. Gildas Omnes’ reference to “misleading statements” in our above mentioned paper. It is a fact universally acknowledged that most inverse problems in geophysics are underdetermined and ill posed, possessing no unique solution. One is therefore left with the only option of seeking the “best” solution by heuristically minimizing certain norms or their weighted combinations. The “goodness” of the solution is qualified by the “closeness” of the inverse solution to the actual model parameters which can be tested using “difficult to invert” standard models. This is the basic premise on which the paper is based with claim to “goodness of the solution” and not uniqueness.
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