Mathematical Modeling for Flow and Transport Through Porous Media:
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...
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1991
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| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-94-017-2199-8 https://doi.org/10.1007/978-94-017-2199-8 |
| Zusammenfassung: | 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 |
| Umfang: | 1 Online-Ressource (IV, 298 p) |
| ISBN: | 9789401721998 |
| DOI: | 10.1007/978-94-017-2199-8 |
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| 245 | 1 | 0 | |a Mathematical Modeling for Flow and Transport Through Porous Media |c edited by Gedeon Dagan, Ulrich Hornung, Peter Knabner |
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| 520 | |a 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 | ||
| 650 | 4 | |a Earth Sciences | |
| 650 | 4 | |a Mineralogy | |
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| 650 | 4 | |a Fluid- and Aerodynamics | |
| 650 | 4 | |a Mathematical Modeling and Industrial Mathematics | |
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| id | DE-604.BV045177995 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:20:02Z |
| institution | BVB |
| isbn | 9789401721998 |
| language | English |
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| spelling | Mathematical Modeling for Flow and Transport Through Porous Media edited by Gedeon Dagan, Ulrich Hornung, Peter Knabner Dordrecht Springer Netherlands 1991 1 Online-Ressource (IV, 298 p) txt rdacontent c rdamedia cr rdacarrier 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 Earth Sciences Mineralogy Geotechnical Engineering & Applied Earth Sciences Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Earth sciences Geotechnical engineering Mathematical models Fluids Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Transportprozess (DE-588)4185932-7 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1989 Irsee gnd-content Poröser Stoff (DE-588)4046811-2 s Transportprozess (DE-588)4185932-7 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Dagan, Gedeon edt Hornung, Ulrich 1941-1996 (DE-588)1166437159 edt Knabner, Peter 1954- (DE-588)110505824 edt Erscheint auch als Druck-Ausgabe 9789048141272 https://doi.org/10.1007/978-94-017-2199-8 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mathematical Modeling for Flow and Transport Through Porous Media Earth Sciences Mineralogy Geotechnical Engineering & Applied Earth Sciences Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Earth sciences Geotechnical engineering Mathematical models Fluids Mathematisches Modell (DE-588)4114528-8 gnd Transportprozess (DE-588)4185932-7 gnd Poröser Stoff (DE-588)4046811-2 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4185932-7 (DE-588)4046811-2 (DE-588)1071861417 |
| title | Mathematical Modeling for Flow and Transport Through Porous Media |
| title_auth | Mathematical Modeling for Flow and Transport Through Porous Media |
| title_exact_search | Mathematical Modeling for Flow and Transport Through Porous Media |
| title_full | Mathematical Modeling for Flow and Transport Through Porous Media edited by Gedeon Dagan, Ulrich Hornung, Peter Knabner |
| title_fullStr | Mathematical Modeling for Flow and Transport Through Porous Media edited by Gedeon Dagan, Ulrich Hornung, Peter Knabner |
| title_full_unstemmed | Mathematical Modeling for Flow and Transport Through Porous Media edited by Gedeon Dagan, Ulrich Hornung, Peter Knabner |
| title_short | Mathematical Modeling for Flow and Transport Through Porous Media |
| title_sort | mathematical modeling for flow and transport through porous media |
| topic | Earth Sciences Mineralogy Geotechnical Engineering & Applied Earth Sciences Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Earth sciences Geotechnical engineering Mathematical models Fluids Mathematisches Modell (DE-588)4114528-8 gnd Transportprozess (DE-588)4185932-7 gnd Poröser Stoff (DE-588)4046811-2 gnd |
| topic_facet | Earth Sciences Mineralogy Geotechnical Engineering & Applied Earth Sciences Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Earth sciences Geotechnical engineering Mathematical models Fluids Mathematisches Modell Transportprozess Poröser Stoff Konferenzschrift 1989 Irsee |
| url | https://doi.org/10.1007/978-94-017-2199-8 |
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