Mathematical Models and Finite Elements for Reservoir Simulation —— Single Phase, Multiphase and Multicomponent Flows through Porous Media

----- 储层模拟的数学模型和有限元：多孔介质中单相、多相和多组分流动

ISBN: 9780444700995 出版年：1986 页码：389 Chavent, G Jaffre, J North Holland_RM

Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers.The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced.Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.