Development of a method for clusterization of the dissipative structures

Abstract

Abstract The dissipative structure (DS) may follow irreversible processes, which occur in the open thermodynamic systems passing and transforming a sufficiently intensive flow of energy. DS can be detected as certain patterns of spontaneous organization in space and time. We consider the DS, which transposes during irreversible ground movement due to landslide or ground pressure manifestation. However, DSs may hide under stochastic noise that impedes their detection. We developed a new method for revealing of DSs in such a stochastic environment using a combination of k-mean clustering, Voronyi tessellation, and the optimal schedule of ground movement monitoring. The developed method has been successfully tested in the case of the irreversible ground movement in the vicinity of a longwall face.