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

  • Book
  • © 2014

Overview

Authors:
  1. Tatsien Li

    1. School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

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  2. Yongji Tan

    1. School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

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  3. Zhijie Cai

    1. School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

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  4. Wei Chen

    1. Shanghai Lixin University of Commerce, Shanghai, People's Republic of China

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  5. Jingnong Wang

    1. Technical Center, China Petroleum Logging Co. Ltd, Xi'an, People's Republic of China

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  • A unique resource on the mathematical model of spontaneous potential well-logging and its numerical solutions
  • Presents advanced research results achieved by the authors over many years
  • The theory and method presented are well suited to meeting practical needs in petroleum exploitation
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Modeling

    • Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
    Pages 1-5

  3. Properties of Solutions

    • Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
    Pages 7-17

  4. Limiting Behavior

    • Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
    Pages 19-31

  5. Techniques of Solution

    • Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
    Pages 33-46

  6. Numerical Simulation

    • Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang
    Pages 47-67
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Keywords

About this book

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.

Authors and Affiliations

  • School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

    Tatsien Li, Yongji Tan, Zhijie Cai

  • Shanghai Lixin University of Commerce, Shanghai, People's Republic of China

    Wei Chen

  • Technical Center, China Petroleum Logging Co. Ltd, Xi'an, People's Republic of China

    Jingnong Wang

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