Mathematical Modeling for Flow and Transport Through Porous Media

ISBN-13: 9789048141272 / Angielski / Miękka / 2011 / 298 str.

Gedeon Dagan

Opis

The main aim of this paper is to present some new and general results, ap- plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris- ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre- viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.

Spis treści

International Workshop on Mathematical Modeling for Flow and Transport Through Porous Media.- Program.- Simulation of Multiphase Flows in Porous Media.- Geometric Properties of Two Phase Flow in Geothermal Reservoirs.- Numerical Simulation and Homogenization of Two-Phase Flow in Heterogeneous Porous Media.- A Limit Form of the Equations for Immiscible Displacement in a Fractured Reservoir.- Diffusion Models with Microstructure.- Characterization of Porous Media — Pore Level.- Scaling Mixing During Miscible Displacement in Heterogeneous Porous Media.- Fixed Domain Methods for Free and Moving Boundary Flows in Porous Media.- Qualitative Mathematical Analysis of the Richards Equation.- Modeling of In-Situ Biorestoration of Organic Compounds in Groundwater.- Reaction Kinetics and Transport in Soil: Compatibility and Differences Between Some Simple Models.- A Perturbation Solution for Nonlinear Solute Transport in Porous Media.- Trace Type Functional Differential Equations and the Identification of Hydraulic Properties of Porous Media.- Parameter Identification in a Soil with Constant Diffusivity.- Key Word Index.