02626oam 2200481 450 991030015030332120190911112726.03-642-41425-710.1007/978-3-642-41425-1(OCoLC)865747793(MiFhGG)GVRL6XQW(EXLCZ)99371000000005808020131017d2014 uy 0engurun|---uuuuatxtccrMathematical model of spontaneous potential well-logging and its numerical solutions /Tatsien Li [and four others]1st ed. 2014.Heidelberg [Germany] :Springer,2014.1 online resource (vii, 67 pages) illustrations (some color)SpringerBriefs in Mathematics,2191-8198"ISSN: 2191-8198."3-642-41424-9 Includes bibliographical references.Preface -- Modeling -- Properties of solutions -- Limiting behavior -- Techniques of solution -- Numerical simulation -- Bibliography.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.SpringerBriefs in mathematics.Oil well loggingMathematical modelsOil well loggingMathematical models.515.353Li Tatsienauthttp://id.loc.gov/vocabulary/relators/aut755910Tan Yongjiauthttp://id.loc.gov/vocabulary/relators/autCai Zhijieauthttp://id.loc.gov/vocabulary/relators/autChen Weiauthttp://id.loc.gov/vocabulary/relators/autWang Jingnongauthttp://id.loc.gov/vocabulary/relators/autMiFhGGMiFhGGBOOK9910300150303321Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions2541014UNINA