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＜電子ブック＞
Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions / by Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2014.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	VII, 67 p. 28 illus., 14 illus. in color : online resource
著者標目	*Li, Tatsien author Tan, Yongji author Cai, Zhijie author Chen, Wei author Wang, Jingnong author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Geophysics LCSH:Numerical analysis LCSH:Functional analysis FREE:Differential Equations FREE:Geophysics FREE:Numerical Analysis FREE:Functional Analysis
一般注記	Preface -- Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation -- Bibliography 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 HTTP:URL=https://doi.org/10.1007/978-3-642-41425-1

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