Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions [electronic resource] / by Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang.

By:

Li, Tatsien [author.]

Contributor(s):

Series: SpringerBriefs in MathematicsPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014Description: VII, 67 p. 28 illus., 14 illus. in color. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783642414251

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Printed edition:: No titleDDC classification:

515.353 23

LOC classification:

QA370-380

Online resources:

Click here to access online

Contents:

Preface -- Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation -- Bibliography.

In: Springer eBooksSummary: 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.

Item type:

eBooks

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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.