caa a22 4500 463162579 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s11242-007-9104-9 doi (NATIONALLICENCE)springer-10.1007/s11242-007-9104-9 Heat and brine transport in porous media: the Oberbeck-Boussinesq approximation revisited [Elektronische Daten] [Anke Landman, Ruud Schotting] This paper discusses the Oberbeck-Boussinesq approximation for heat and solute transport in porous media. In this commonly used approximation all density variations are neglected except for the gravity term in Darcy's law. However, in the limit of vanishing density differences this gravity term disappears as well. The main purpose of this paper is to give the correct limits in which the gravity term is retained, while other density effects can be neglected. We show that for isothermal brine transport, fluid volume changes can be neglected when a condition is fulfilled for a dimensionless number, which is independent of the density difference and specific discharge. For heat transfer an additional condition is required. One-dimensional examples of simultaneous heat and brine transport are given for which similarity solutions are constructed. These examples are included to elucidate the volume effects and the corresponding induced specific discharge variations. Finally, a two-dimensional example illustrates the relative effects of volume changes and gravity. Springer Science+Business Media, Inc., 2007 Oberbeck-Boussinesq approximation nationallicence Heat transfer nationallicence Brine transport nationallicence Solute transport nationallicence Similarity transformations nationallicence Density-dependent flow nationallicence Porous media nationallicence Landman Anke Improved Oil Recovery and Water Management, Shell International Exploration and Production B.V., Kesslerpark 1, 2288 GS, Rijswijk, The Netherlands aut Schotting Ruud Department of Earth Sciences, Environmental Hydrogeology Group, University of Utrecht, P.O. Box 80021, 3508 TA, Utrecht, The Netherlands aut Transport in Porous Media Springer Netherlands 70/3(2007-12-01), 355-373 0169-3913 70:3<355 2007 70 11242 https://doi.org/10.1007/s11242-007-9104-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-007-9104-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Landman Anke Improved Oil Recovery and Water Management, Shell International Exploration and Production B.V., Kesslerpark 1, 2288 GS, Rijswijk, The Netherlands aut NATIONALLICENCE 700 1- Schotting Ruud Department of Earth Sciences, Environmental Hydrogeology Group, University of Utrecht, P.O. Box 80021, 3508 TA, Utrecht, The Netherlands aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/3(2007-12-01), 355-373 0169-3913 70:3<355 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer