In the last fifty years, unprecedented progress in sciences and technology has led to a better understanding of the universe, our galaxy, the solar system with its planets and satellites, including our distinctive planet and moon; but many processes taking place just beneath our feet remain often at a descriptive stage in spite of recognisable achievements not only in plate tectonics, but also in dynamical and structural geology, geomorphology, sedimentology, metamorphism, volcanology, geophysics, geochemistry, mineralogy, palaeontology, petroleum and gas geology, geo-thermodynamics, hydrogeology, geotechnology, geostatistics, and so on. Why has this delay in explaining geological processes happened? The answer can be found in the diversity of geological processes considered in this book which are separately studied with no common .mathematical basis.As a result of over 40 years of experience in studying, analysing and deciphering various kinds of geological processes – including those related to transfer of heat, flow of fluids (water, petroleum, gas), transport of dissolved compounds, propagation of mechanical stress, transmission of radiation, spread of chemical reactions in the Earth’s crust –, the present work includes: ♦ introductory notions of matter with its states/phases, energy with its forms, natural processes, laws, theorems and principles; ♦ the generalised equation of geological processes with its particular forms; ♦ analytical methods of solving partial differential equations not only for one kind of process, but also for coexisting geological processes of the same or different natures; as well as ♦ numerical methods for solving partial differential equations.All of these are exemplified by 35 case-studies of various processes, numerous worked examples, 52 figures and 19 tables
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