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Title Mathematical model of spontaneous potential well-logging and its numerical solutions / Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
Published Heidelberg : Springer, 2014

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Description 1 online resource (vii, 67 pages) : illustrations (some color)
Series SpringerBriefs in Mathematics, 2191-8198
SpringerBriefs in mathematics, 2191-8198
Contents Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation
Summary 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 axi-symmetric 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
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed November 11, 2013)
Subject Oil well logging -- Mathematical models
TECHNOLOGY & ENGINEERING -- Mining.
Form Electronic book
Author Li, Daqian, author.
ISBN 9783642414251
3642414257
3642414249
9783642414244