Principles of mathematical petrophysics
type: Item
instance of: scholarly article
zbMATH Open document ID: 1314.86010
author: John H. Doveton
publication date: 2014-10-09T00:00:00Z
Mathematics Subject Classification ID: 86A60
Mathematics Subject Classification ID: 74L05
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 86-01
Mathematics Subject Classification ID: 00A69
Mathematics Subject Classification ID: 00A79
zbMATH DE Number: 6353338
zbMATH Keywords: petrophysics
zbMATH Keywords: rock porosity
zbMATH Keywords: rock permeability
zbMATH Keywords: mineralogy
zbMATH Keywords: electrofacies
zbMATH Keywords: petrofacies
zbMATH Keywords: reservoir saturation
MaRDI profile type: Publication
title: Principles of mathematical petrophysics
published in: International Association for Mathematical Geosciences. Studies in Mathematical Geosciences
review text: 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 meth…
description: scientific article; zbMATH DE number 6353338