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.
| ISBN: | 9783642414244 |
| Publication date: | 18th November 2013 |
| Author: | Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 67 pages |
| Series: | SpringerBriefs in Mathematics |
| Genres: |
Differential calculus and equations Numerical analysis Geophysics Functional analysis and transforms |