This research is an outgrowth of my doctoral dissertation at Princeton college. i'm rather thankful to Professors George F. Pinder and William G. grey of Princeton for his or her suggestion in the course of either my examine and my writing. i think that finite-element collocation holds promise as a numer ical scheme for modeling complex flows in porous media. despite the fact that, there appears a "conventional knowledge" conserving that collocation is hopelessly beset through oscillations and is, indirectly, essentially irrelevant for multiphase flows. i'm hoping to dispel those objections, knowing that others will stay for additional paintings. The U. S. nationwide technology origin funded a lot of this examine via provide quantity NSF-CEE-8111240. desk OF CONTENTS summary ;; FOREWORD ;; ; bankruptcy ONE. THE actual method. 1.1 advent. 1 1.2 The reservoir and its contents. five 1.3 Reservoir mechanics. nine 1.4 Supplementary constraints. 18 1.5 Governing equations. 26 bankruptcy . REPRESENTING FLUID-PHASE habit. 39 2.1 Thermodynamics of the fluid procedure. forty 2.2 average equation-of-state tools. forty five 2.3 Maxwell-set interpolation.
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