The Implementation of the Response Surface Techniques to the Analytical Oxidation Model Evaluation

Abstract

The purpose of this paper is to demonstrate and evaluate the parameter uncertainty in most of the proposed analytical oxidation models (1-6). First, the concept of the e-indifference range, i.e., IR(O) -R(0*) I -< e 2, is introduced. Then the problem of the determination of the parameters' uncertainty is converted into the determination of the e-indifference range. Methods are introduced to determine the e-indifference range, resulting in the parameter uncertainty range. The correlation matrices of the parameters for a number of models are given in this paper. The analytical results of this paper show that most of the analytical oxidation model parameters (1-6) are interdependent within a wide data-fitting and parameterextraction range, and as such suffer from a quite large uncertainty. Therefore, some physical mechanisms of oxidation which are concluded from, or proven by data-fitting only can be critically questioned and debated.