The article continues the author’s series of works on the application of synergetic theory to understand and describe the processes and phenomena that accompany the search and development of mineral resources. The research results show that the synergetic theory is universal and allows to understand and describe a wide range of phenomena and processes that occur in geological exploration and mining: dynamic phenomena in mines (outbursts of rocks and coal), spontaneous сombustion of сoal in coal mines, emergency outbursts of oil and gas from exploration wells, destruction of high-pressure pipelines, geodynamic phenomena in quaternary deposits, sedimentary rocks, and in the geological structures of the crystalline basement. One of the signs of processes and phenomena that have a synergistic nature is the nonlinear nature of the system’s response to weak perturbations. Minor disturbances slightly change the structure of geological material, in some cases change the mechanical and physical properties of formation fiuids. This creates the conditions for disturbing the unstable equilibrium of the system at the bifurcation points and its transition to another equilibrium state with other thermodynamic parameters that characterize the new state of the system. Such transitions are characterized by kinetic and phase transitions. In particular, in the reservoir rock, in coal, micro- and macrocrack systems are formed and developed. The shape of dissipative structures is described using fractal theory. The duration of self-organization of dissipative structures and the transition of the system to a new equilibrium state depends on the type of dissipative structures, the properties of the environment in which they are formed, and the speed of physicochemical processes.
The article considers the behavior of the system “well – rock formation” as an open thermodynamic system. The internal energy of the formation is compared with the energy of external explosive action from the well. Specific examples show that the behavior of such a system is subject to the laws of synergetics and as a result of weak action on the formation from the well there are significant nonlinear effects of productivity growth due to the internal energy of the formation. This energy is generated by reservoir and rock pressures.
The Maximum Entropy Rate Description of a Thermodynamic System in a Stationary Non-Equilibrium State
