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Science/Engineering "Mathematical Models and Finite Elements for Reservoir Simulation" by Guy Chavent, Jerome Jaffre
Posted on 2010-04-14
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More "Mathematical Models and Finite Elements for Reservoir Simulation. Single Phase, Multiphase and Multicomponent Flows Through Porous Media" by Guy Chavent, Jerome Jaffre Studies in Mathematics and its Applications, vol.17 One aim of this book is to try to remedy this situation and make the models used in reservoir simulation understandable by the non-specialized scientific community. A second objective of this book is to initiate a rigorous mathematical study of the immiscible flow models. Though the existence theorems presented in this book are far from covering the most general multiphase problem, we believe that our treatment of incompressible two-phase problems, based on the above-mentioned ‘global pressure’ approach, is the most comprehensive today. • | • The last objective of this book is to present a finite element approximation technique based on the global pressure variational model. The goal is to show how new numerical techniques can be used in reservoir simulation, but it is not to review all methods of discretization (for fmite differences, see the books by Peaceman and by Aziz and Settari). We consider the case of two-phase incompressible flow and the method includes mixed fmite elements for the pressure equation and upstream weighted discontinuous finite elements with slope limiters for the saturation equation.
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