Abstract
In comparing the measured and response logs during the process of complex well log interpretation, the parameters of the rock model must fulfill certain restriction conditions.
The present paper shows how the different types of restriction conditions can be handled by constraining the domain of definition on a convex solid (Polyhedron) of higher dimensional space. The paper offers and realizes complete mathematical and algorithmic solutions for the minimization of incoherency between the two sets of logs on this convex solid. The paper proves the correctness of the process of minimization, demonstrates it on a vivid, geometrical example, and describes the basic concepts of computer realization of the algorithm.
Application of different restriction conditions for an interpretation in granite rock is also given.