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Mathematics - Dynamical Systems & Differential Equations | Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

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

Li, T., Tan, Y., Cai, Z., Chen, W., Wang, J.

2014, VII, 67 p. 28 illus., 14 illus. in color.

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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

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.

Content Level » Research

Keywords » Elliptic partial differential equations - Numerical solution - Sobolev space with fractional power - Spontaneous potential well-logging

Related subjects » Analysis - Computational Science & Engineering - Dynamical Systems & Differential Equations - Geophysics & Geodesy

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