Overview
- A unique resource on the mathematical model of spontaneous potential well-logging and its numerical solutions
- Presents advanced research results achieved by the authors over many years
- The theory and method presented are well suited to meeting practical needs in petroleum exploitation
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
Keywords
About this book
Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posedness and proposing numerical solution schemes. In this book, in the axisymmetric situation the well-posedness of the corresponding mathematical model is proved and three efficient schemes of numerical solution are proposed, supported by a number of numerical examples to meet practical computation needs.
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions
Authors: Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-642-41425-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2014
Softcover ISBN: 978-3-642-41424-4Published: 18 November 2013
eBook ISBN: 978-3-642-41425-1Published: 04 November 2013
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: VII, 67
Number of Illustrations: 14 b/w illustrations, 14 illustrations in colour
Topics: Partial Differential Equations, Geophysics/Geodesy, Numerical Analysis, Functional Analysis