Fundamental and applied achievements in the fields of geochemistry and thermobarometry of mineral-forming fluids and thermobarogeochemistry of evaporites are summarized as the basis of the corresponding world-famous scientific thermobarogeochemical schools established by professors V. A. Kalyuzhny and O. Yo. Petrychenko at the Institute of Geology and Geochemistry of Combustible Minerals of the Academy of Sciences of Ukraine on the basis of creative development of ideas of predecessors with the support of academicians Ye. K. Lazarenko, V. S. Sobolyev, H. N. Dolenko. Emphasis is placed on the contribution of schools to geological science, which is determined by the formed knowledge base on geochemical and thermobaric parameters of fluid environments of mineral-ore- naphthidogenesis in the Earth’s lithosphere (according to data of fluid inclusions research). In this context, in view of the enormous array of available data, the composition, physicochemical properties, genesis of fluids of the upper mantle and crust are briefly discussed and it is shown that the course of processes of petro-, mineral-, ore-, naphthidogenesis and formation fields of hydrocarbon, ore and non-ore minerals is determined by the peculiarities of degassing (defluidization) of the Earth and its influence on the conversion of carbon compounds during terrigenous, organogenic, hemogenic sedimentation and on the processes of diagenesis of sediments of various origins. The obtained data on the reproduction of the evolution of the fluid regime of rock complexes contribute to solving the fundamental problem of geochemistry of carbon and hydrogen (hydrocarbon-hydrogen matter) and deep (endogenous) fluid flows in the Earth’s lithosphere as an important basis for mineralofluidological model of the planet. They played a decisive role in substantiating at the Institute on the basis of abiogenic-biogenic dualism universal approaches to the processes of synthesis and genesis of natural hydrocarbons in the form of a new fundamental paradigm of oil and gas geology and geochemistry, the polygenesis of natural hydrocarbons in the Earth’s bowels, which increases the potential of oil and gas resources of promising regions, including Ukraine. This creates the preconditions for the identification of promising rock complexes for hydrocarbon, ore and non-ore minerals by applying the obtained fundamental thermobarogeochemical data in forecasting, exploration and operational practice on the basis of developing of new non-traditional geotechnologies for assessment and exploration of hydrocarbons and minerals.