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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