Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Earth Sciences, Geophysics
Cover of the book Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions by Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang, Springer Berlin Heidelberg
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Author: Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang ISBN: 9783642414251
Publisher: Springer Berlin Heidelberg Publication: November 4, 2013
Imprint: Springer Language: English
Author: Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
ISBN: 9783642414251
Publisher: Springer Berlin Heidelberg
Publication: November 4, 2013
Imprint: Springer
Language: English

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.

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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.

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