Mathematical Modeling for Flow and Transport Through Porous MediaGedeon Dagan, Ulrich Hornung, Peter Knabner Springer Science & Business Media, 1991 - 297 páginas 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. |
Índice
473 1991 | 473 |
476 | 476 |
a | 532 |
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FIG 20 The saturations contours after breakthrough at the | 541 |
a | 542 |
a | 543 |
a | 544 |
Oil recovered porevolumes | 561 |
Figure 16 Microscopic distribution of fluids in a typical thin | 600 |
Table 1 Homogeneous Dispersion Data | 614 |
FIG 17 The production curves for the heterogeneous and | 539 |
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Mathematical Modeling for Flow and Transport Through Porous Media Gedeon Dagan,Ulrich Hornung,Peter Knabner Vista previa restringida - 2013 |
Mathematical Modeling for Flow and Transport Through Porous Media No hay ninguna vista previa disponible - 2014 |
Términos y frases comunes
adsorption approximation assumed Baiocchi biodegradation blocks boundary conditions capillary pressure characteristics coefficients computational Darcy's law defined density described diffusion dispersion dissolved oxygen distribution domain Dullien effects Figure finite element method fissured flux formulation fractal free boundary free surface Genuchten geometry given grid heterogeneous porous media homogenized simulation hydraulic conductivity immiscible immiscible displacement interface inverse problem linear mass Math mathematical matrix medium mesh miscible miscible displacement mixed finite element nonlinear numerical obtained overspecified parameter identification parameter identification problem partial differential equation particle phase physical pore body pore structure pore throat porosity porous media R.E. Ewing region relative permeability reservoir simulation Richards equation sample saturations contours scale seepage Soil Sci soil-moisture solve sorption spatial Substrate Concentration Substrate solution techniques test problem trace type functional transport unknown unsaturated variable variational inequality vector velocity viscous fingering water content Water Resour wetting-fronts