000 02823nam a22005535i 4500
001 978-3-642-41425-1
003 DE-He213
005 20140220082522.0
007 cr nn 008mamaa
008 131104s2014 gw | s |||| 0|eng d
020 _a9783642414251
_9978-3-642-41425-1
024 7 _a10.1007/978-3-642-41425-1
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aLi, Tatsien.
_eauthor.
245 1 0 _aMathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions
_h[electronic resource] /
_cby Tatsien Li, Yongji Tan, Zhijie Cai, Wei Chen, Jingnong Wang.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aVII, 67 p. 28 illus., 14 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Mathematics,
_x2191-8198
505 0 _aPreface -- Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation -- Bibliography.
520 _aSpontaneous 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.
650 0 _aMathematics.
650 0 _aPhysical geography.
650 0 _aFunctional analysis.
650 0 _aDifferential equations, partial.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aGeophysics/Geodesy.
650 2 4 _aNumerical Analysis.
650 2 4 _aFunctional Analysis.
700 1 _aTan, Yongji.
_eauthor.
700 1 _aCai, Zhijie.
_eauthor.
700 1 _aChen, Wei.
_eauthor.
700 1 _aWang, Jingnong.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642414244
830 0 _aSpringerBriefs in Mathematics,
_x2191-8198
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-41425-1
912 _aZDB-2-SMA
999 _c93492
_d93492