Mathematical model of spontaneous potential well-logging and its numerical solutions [electronic resource] / Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang.

Mathematical model of spontaneous potential well-logging and its numerical solutions [electronic resource] / Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang.

9783642414251 electronic book
3642414257 electronic book
9783642414244

Heidelberg : Springer, 2014.

English

1 online resource (vii, 67 pages) : illustrations (some color).

10.1007/978-3-642-41425-1 doi

TN871.35

622/.338015118

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.

Includes bibliographical references.

Access limited to authorized users.

Description based on online resource; title from PDF title page (SpringerLink, viewed November 11, 2013).

SpringerBriefs in mathematics, 2191-8198

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