LEADER 02626oam 2200481 450 001 9910300150303321 005 20190911112726.0 010 $a3-642-41425-7 024 7 $a10.1007/978-3-642-41425-1 035 $a(OCoLC)865747793 035 $a(MiFhGG)GVRL6XQW 035 $a(EXLCZ)993710000000058080 100 $a20131017d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical model of spontaneous potential well-logging and its numerical solutions /$fTatsien Li [and four others] 205 $a1st ed. 2014. 210 1$aHeidelberg [Germany] :$cSpringer,$d2014. 215 $a1 online resource (vii, 67 pages) $cillustrations (some color) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 300 $a"ISSN: 2191-8198." 311 $a3-642-41424-9 320 $aIncludes bibliographical references. 327 $aPreface -- Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation -- Bibliography. 330 $aSpontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posedness and proposing numerical solution schemes. In this book, in the axi-symmetric situation the well-posedness of the corresponding mathematical model is proved and three efficient schemes of numerical solution are proposed, supported by a number of numerical examples to meet practical computation needs. 410 0$aSpringerBriefs in mathematics. 606 $aOil well logging$xMathematical models 615 0$aOil well logging$xMathematical models. 676 $a515.353 700 $aLi$b Tatsien$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755910 702 $aTan$b Yongji$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCai$b Zhijie$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aChen$b Wei$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWang$b Jingnong$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910300150303321 996 $aMathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions$92541014 997 $aUNINA