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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