By H. Cartan
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5) is provided in Appendix A) A PHYSICAL MODEL Using the terms of depth matching, it is possible to give a different interpretation of the minimization principle as expressed by equation 51 5. 5) from the one given in chapter 2. This interpretation is based on the concept of stretching and compression. Suppose that the matched log is drawn on transparent paper or plastic and that, for the purpose of depth matching, this material can stretch and compress lengthwise. 5) measures the total distortion needed to match this log to the base log.
Thus, the basic method of depth correction is to compare each curve to a reference log and to adjust it accordingly. It is this method that is automated in the two algorithms to be described here. It should be remembered, however, that in many instances experienced log analysts consider the meaning of the logs, not only the formal combinations of their deflections. Automatic interpretation of well logs, however, is the highest goal of computerized well log analysis, and the published solutions have not come close to it.
The three conditions formulating the rule of noncrossing correlations are difficult to express with analytical formulas, but they can be easily checked in the algorithm using if-then constructions. Therefore, these conditions are mentioned here in words rather than in formulas. 3). In agreement with the foregoing discussion, the rule of non crossing correlations will be checked 50 in the algorithm when looking for the optimal solution. It appears, however, that one term is missing in this expression.