Principles of mathematical petrophysics
By the subject, this a pioneering book containing a detailed compilation of currently existing mathematical methods applied in solving practical, theoretical, and numerical problems in versatile fields of petrophysics. As the content covers the state of the art in mathematical modelling, the book can serve as a useful literature for both the professionals as well as graduate students active in various domains of petrophysics.NEWLINENEWLINEThe text is written in 15+248 pages and divided into seven main chapters each concluded by an extensive list of references. Chapter 1 deals with essentials of fluid saturation determination methods starting from the classic Archie equation and its variants. This includes applications, modelling, and analyses of different structures such as shaly sandstone, carbonate rocks, and multiple porosity systems. The next Chapter 2 is devoted to porosity and its estimates including gamma-ray methods, and from acoustic and resistivity logs. Chapter 3 is on absolute permeability estimates and its predictions from porosity by using flow-zone indicators, and irreducible water saturation. Also estimation methods based on nuclear magnetic resonance (MNR) are described for clastic pore systems. Chapter 4 tackles modelling and mathematical elements used in compositional analysis in mineralogy. This includes an introduction into matrix algebra needed for porosity evaluations in multi component systems, and various mathematical details of obtaining solutions like inverse solutions, cases of under- and over-determined systems and optimization models. Chapter 5 considers properties and analyses of electrofacies and lithofacies including classification and databases, and neural-network predictions from logs. Pore-system facies are treated in Chapter 6 where the relevant distributions and analysis procedures, including the MNR technique, are described in detail for various configurations. Finally, Chapter 7 gives fundamentals of the saturation height method and its usage in modelling reservoirs in different geological environments.
scientific article; zbMATH DE number 6353338