Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solution
General Material Designation
[Book]
First Statement of Responsibility
/ electronic resource
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
: Springer Berlin Heidelberg :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
VII, 67 s. 28 illus., 14 illus. in color. , online resource..
SERIES
Series Title
(SpringerBriefs in Mathematics,2191-8198)
GENERAL NOTES
Text of Note
9783642414244.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
Summary: 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.
Text of Note
Preface -- Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation -- Bibliography.