Hilbert spaces as an efficient instrument for signal processing in geotechnics: Application of vector quantisation method in Hilbert space for effective and quality process control of rock disintegration by rotary drilling

This contribution works out the problem for rock disintegration process operation by rotary drilling, where the objective function is to minimize the specific energy of rock disintegration. The proposed operational algorithm is based on continuous evaluation of associated vibrations on the grounds of current disintegrated rock as classified to relevant class from classes which are defined in advance. For each of the classes are specified the parameters for effective drilling. Individual rocks are interpreted by associated vibrating signals from the drilling process as a vector in infinitely complex Hilbert space. The solution is based on the knowledge of the functional analyses and on the methods of artificial intelligence.