Estado del arte sobre la representación numérica de sistemas de flujo bajo condiciones de densidad variable
DOI:
https://doi.org/10.21701/bolgeomin.118.especial.001Palabras clave:
acuíferos profundos, flujo bajo densidad variable, intrusión marina, modelos numéricos hidrogeológicosResumen
La representación numérica de sistemas hidrogeológicos considerando la variabilidad de la densidad del fluido es un aspecto que no puede soslayarse tanto en estudios de acuíferos costeros como en muchos casos de almacenamiento profundo de residuos tóxicos peligrosos (RTP). El desarrollo de estos modelos numéricos es una labor compleja y ardua, cuyos resultados no están exentos de una apreciable incertidumbre. Ésta tiene su origen en las limitaciones numéricas de la que adolecen los distintos métodos, en la escasez de datos y en la incertidumbre característica de la información de estos sistemas. Un adecuado conocimiento del código numérico a aplicar, permitirá a los técnicos optimizar los recursos racionalizando debidamente las tareas del estudio. En el presente trabajo se realizó un estado del arte actualizado de la modelización numérica de sistemas hidrogeológicos bajo condiciones de densidad variable. Se ha realizado una revisión general de los métodos de representación, atendiendo especialmente a las técnicas numéricas y presentando los aspectos particulares que deben ser atendidos al desarrollar estos modelos numéricos. Se describieron sucintamente los códigos numéricos más destacados y se listaron los ejercicios internacionales de validación de los códigos más importantes de las dos últimas décadas, reflexionando sobre las limitaciones que arrojan sus resultados.
Descargas
Citas
Ataite-Ashtiani, B.; Volker, R. and Lockington, D. 1999. Tidal effects on sea water intrusion in unconfined aquifers. Journal of Hydrology, 216 (1-2), 17-31. https://doi.org/10.1016/S0022-1694(98)00275-3
Bakker, M. 2000. Simple groundwater flow models for seawater intrusion. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-, 19-24.
Bachu, S. 1995. Flow of variable-density formation water in deep sloping aquifers; review of methods of representation with case studies. Journal of Hydrology, 164 (1-4), 19-38. https://doi.org/10.1016/0022-1694(94)02578-Y
Bear. J. 1979. Hydraulics of groundwater, Mc Graw Hill, New York. USA. 567 pp.
Bear J. A.H.and D. Zheng (1999) Seawater intrusion in coastal aquifers: Concepts, methods and practices. Kluwer Academic publishers. Dortrecht-Holland. 625 pp.
Benson, D.; Carey, A. Wheatcraft S. 1998. Numerical advective flux in highly variable velocity fields exemplified by saltwater intrusion. Journal of Contaminant Hydrology, 34 (3), 207-233. https://doi.org/10.1016/S0169-7722(98)00093-X
Bouzouf, B.; Ouazar, D.; Himi. M. and Casas, A. 2000. Salt water modeling and simulation of Llobregat Delta Aquifer. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-, 33-38.
Carrera, J. 1985. La modelación del transporte de contaminantes en acuíferos: Métodos de Análisis y proceso de estudio. Aplicación a un caso real. Ponencia en la conferencia sobre Hidrología General y Aplicada, SMAGUA 85, 151-175.
Croucher, A. and O'Sullivan 1995. The Henry problem for saltwater intrusion. Water Resources Research, 31 (7), 1809-1814. https://doi.org/10.1029/95WR00431
Custodio, E. y Llamas M. R. 1983. Hidrología Subterránea (2º Edición) Editorial Omega. Barcelona De Josseling de Jones, G. 1965. A many valued holograph in an interface problem. Water Resources Research, 1 (4). https://doi.org/10.1029/WR001i004p00543
De Lange, W. 1996. Grounwater modeling of large domains with analytical elements Ph.D. Thesis. Delft University of Technology.
De Marsily, G. 1986. Quantitative Hydrogeology. Groundwater Hydrology for Engineers. Academic Press Inc. San Diego, CA. 440 pp.
Diersch, H.-J. G. 1997. Interactive, graphics-based finite element simulation system FEFLOW for modeling groundwater flow, contaminant mass and heat transport processes. User's Manual Version 4.7. WASY, Institute for Water Resources Planning and Systems Research, Ltd. Berlin, Germany.
Elder, J. W. 1967. Transient convection in a porous medium. Journal of Fluid Mechanics, 27 (3), 609-623. https://doi.org/10.1017/S0022112067000576
Evans, D. and Raffensperger, J. 1992. On the stream function for the variable density groundwater flow. Water Resources Research, 28 (8), 2141-2145. https://doi.org/10.1029/92WR01060
Freeze, R. and Cherry, J. 1979. Groundwater. Prentice-Hall. Englewood Cliffs. NJ. 604 pp.
Gelhard, L. and Collins, M. 1992. General analysis of longitudinal dispersion in nonuniform flow. Water Resources Research, 7 (7), 1511-1521. https://doi.org/10.1029/WR007i006p01511
Glover, R. 1959. The pattern of freshwater flow in a coastal aquifer. Journal of Geophisical Research. 64 (4). https://doi.org/10.1029/JZ064i004p00457
Groen, J.; Kooi, H.; Post, V. and De Vries, J.J. 2000. Fresh and moderately brackish groundwater in coastal plains and continental shelves: past and ongoing natural processes. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-. 73-80.
Guo, W. and Langevin C. 2002. User's Guide to SEAWAT: A Computer Program for Simulation of Three-Dimensional Variable-Density Ground-Water Flow. USGS Techniques of Water Resources Investigations, 6 A7. 77 pp. https://doi.org/10.3133/ofr01434
Gupta, N. and Bair, S. 1997. Variable-density flow in the Midcontinent basins and arches region of the United States. Water Resources Research, 33 (8), 1785-1802. https://doi.org/10.1029/97WR01199
Henry, H. 1964. Effects of dispersion on salt encroachment in coastal aquifers. Sea Water in Coastal Aquifers. U. S. Geological Survey. Water Supply Paper, 1613-C, 70-84.
Heredia, J. 1991, Caracterización mediante técnicas numéricas de medios de baja permeabilidad. Documento nº 3, Reseña de códigos numéricos en hidrogeología. Informe interno. Consejo de Seguridad Nuclear.
Heredia, J. 1994. Determinación automática de la geometría de las formaciones hidrogeológicas. Tesis Doctoral. Escola Tècnica superior d'Engyniers de Camins, Canals i Ports. Universitat Politècnica de Catalunya. 190 pp.
Heredia, J. 1999. Valoración y propuesta de configuración, SIG-Código de Vínculo-CNMH. Memoria, Tomo 3. Proyecto: Síntesis hidrogeológica y modelización regional de un área granítica de la cuenca del Tajo. Informe final para ENRESA. Cod: 95-SHMR-IF.
Hidalgo, J., Slooteen, L., Medina, A. and Carrera, J. 2004. A Newton-Raphson based code for seawater intrusion modelling and parameter estimation. Groundwater and saline intrusion. Selected papers. Araguás, Custodio and Manzano Eds.. 18th Salt Water Intrusion Meeting. Cartagena, Spain.
Holzbecher, E. 1997. Comment on Constant-concentration boundary condition: Lessons from the HYDROCOIN variable-density groundwater brenchmark problem Water Resources Research, 34 (10), 2775-2778. https://doi.org/10.1029/98WR02190
IGWMC 1999. Groundwater software catalog. International Ground Water Modeling Center. Colorado School of Mines. Golden, CO 80401-1887. USA.
Jousma, G.; Thorgborg, B. and Verrujuit A. 1988. Modelación de la Intrusión marina. Revisión de métodos. TIAC'88, Tecnología de la Intrusión en Acuíferos Costeros. Vol. I: Estado del arte a nivel nacional e internacional, 229-290.
Kelly, M. and Bair, S. 1988. Difference in hydrodinamic interpretations based on equivalent freshwater heads versus variable-density heads. Geological Society of America, 1988 annual meeting. Abstracts with Programs, 20 (2), 103.
Kipp, K. L.Jr. 1986. HST3D A computer Code formulation of heat and solute transport in three-dimensional groundwater flow systems. IGWMC-UGGS, Water Resources Investigations Report 86-4095.
Koesters, E.; Vogel, P. and Schelkes, K. 2000. A paleohydrogeological approach to regional density-dependent groundwater modeling: A case study in Northern Germany. Proceedings of the 16th Salt Water Intrusion Meeting - SWIM, 103-110.
Kooi, H. and Groen, J. 2001. Offshore continuation of coastal groundwater systems, prediction using sharpinterface approximation and variable-density flow modelling. Journal of Hydrology. 246 (1-4). 19-35. https://doi.org/10.1016/S0022-1694(01)00354-7
Konikow, L.; Sanford, W. and Campbell, P. 1997. Constantconcentration boundary condition: Lessons from the HYDROCOIN variable-density groundwater brenchmark problem Water Resources Research, 33 (10), 2253-2261. https://doi.org/10.1029/97WR01926
Konikow, L. and Sanford, W. 1997. Reply on comment on Constant-concentration boundary condition: Lessons from the HYDROCOIN variable-density groundwater brenchmark problem Water Resources Research, 34 (10), 2779-2780. https://doi.org/10.1029/98WR02189
Lahm, T. and Bair, S. 1997a. The influence of regional despresseurization in a salinity-derived variable-density groundwater environment. Geological Society of America, 1997 annual meeting. Abstracts with Programs, 29 (6), 75.
Lahm, T. and Bair, S. 1997b. Role of salinity-derived variable- density flow in the displacement of brine from shallow, regionally extensive aquifer. Geological Society of America, 1997 annual meeting. Abstracts with Programs, 29 (6), 75. https://doi.org/10.1029/98WR00316
Lahm, T. and Bair, S. 2000. Regional despreseurization and its impact on the sustainability of freshwater resources in an extensive Midcontinent variable-density. Water Resources Research, 36 (11), 3167-3177. https://doi.org/10.1029/2000WR900140
Lahm, T.; Bair, S. And Vander Kwaak, J. 1998. Role of salinity-derived variable-density flow in the displacement of brine from shallow, regionally extensive aquifer. Water Resources Research, 34 (6.), 1469-1480. https://doi.org/10.1029/98WR00316
Lebbe, L. and Van Meir, N. 2000. Sensivity analyses of pumping test in salt-fresh water aquifer 2: dranwdown and joint confidence regions. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-,151-160.
Lester, B. 1991. SWICHA. A three-dimensional finite element code for analysing seawater intrusion in coastal aquifers. Version 5.05. Geo-Trans, Inc., Sterling Virginia, USA. IGWMC, Delft, Netherlands.
Mushtaha A.; Amjad S. A. and Mackay 2000. The use of scavenger wells to control saltwater upcoming in Gaza, Palestine. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-, 109-116.
Neuman, S. 1983. Computer prediction of subsurface radionuclide transport - An adaptive numerical methods Nuclear Regulatory Comission Report. Nº, nureg/cr-3076. https://doi.org/10.2172/6493395
Osenkoppele, H. 1993. Modeling the distribution and the movement of fresh, brackish and saline groundwater in the sand-dune area of Amsterdam Waterworks.(en neerlandes). M. Sc. Thesis at the Delf Universty of Technology, 411 pp.
Olsthorn, T.N. 2000. Brackish-saline water movement in the southern part of the Amsterdam Dune Water Area, 1925-2025. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-,119-126.
Ophori, D. 1997. A numerical simulation analyses of viscosity invariable-density flow of groundwater. Geological Society of America, 1997 annual meeting. Abstracts with Programs, 29 (6), 75.
Ophori, D. 1998a. Flow of groundwater with variable density and viscosity. Atitokan Research Area, Canada. Hydrogeological Journal, 6 (2). 193-203. https://doi.org/10.1007/s100400050144
Ophori, D. 1998b. The significance of viscosity and densitydependent flow of groundwater. Journal of Hydrology, 204 (1-4), 261-270. https://doi.org/10.1016/S0022-1694(97)00116-9
Oude Essink, G.H. 1998. Density dependent groundwater at the island of Texel, The Netherlands. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-,47-54.
Oude Essink, G.H. 1999. Simulating density dependent groundwater flow: the adapted MOC3D. Proceedings 15th Salt Water Intrusion Meeting -SWIM-. Ghent, Belgium, 69-79.
Oude Essink, G.H. 2000. Density dependent groundwater at the island of Texel, The Netherlands. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-. 47-54.
Oude Essink, G. H. y Boekelman, R. H. 1998. Problemas con el modelado a gran escala de la intrusión de agua salada en 3D Traducción Custodio, J.. Boletín Geológico y Minero, 109 (4), 403-420.
Sandford, W. E. and Konikow, L.F. 1985. MOCDENSE. A two constituent solute-transport model for groundwater having variability density. USGS, Water Resources Investigations Report 85-4279.
Sauter, F.; Leijnse, A. and Beusen, A. 1993. METROPOL. User's Guide. Report Number 725205.003. National Institute of Public health and Environmental Protection. The Netherlands. 102 pp.
Senger, R. and Fogg, G. 1990a. Stream functions and equivalent freshwater heads for modelling regional flow of variable-density groundwater; 1, Review of theory and verification. Water Resources Research, 26 (9), 2089-2096. https://doi.org/10.1029/WR026i009p02089
Senger, R. and Fogg, G. 1990b. Stream functions and equivalent freshwater heads for modelling regional flow of variable-density groundwater; 2, Application and implications for modeling strategy. Water Resources Research, 26 (9), 2097-2106. https://doi.org/10.1029/WR026i009p02097
Schincariol, R. 1998. Dispersive mixing dynamics of dense miscible plumes: natural perturbation initiation by localscale heterogeneities. Journal of Contaminant Hydrology, 34 (3), 247-271. https://doi.org/10.1016/S0169-7722(98)00081-3
Shikaze, S.; SudickY, E. and Schartz F. 1998. Densitydependent solute transport in discretely-fractured geologic media; is prediction possible. Journal of Contaminant Hydrology, 34 (3), 273-291. https://doi.org/10.1016/S0169-7722(98)00080-1
Strack, O. 1987. Groundwater mechanics. Prentice Hill, N.J.
Strack, O. 1995. A Dupuit-Forcheimer model for three dimensional flow with variable density. Water Resources Research, 31 (12), 3007-3017. https://doi.org/10.1029/95WR02254
SSG 2001. Environmental Software and Publications. Catalog. Scientifc Software Group. P.O. Box 23041, Wsashington, DC, 20026-3041.
Van Der Heijde, P. 1987. Quality assurance in computer simulations of groundwater contamination. Environmental Software. Vol. 2. https://doi.org/10.1016/0266-9838(87)90024-4
Van Meir, N.; Lebbe, L. and Oude Essink G.H.P. 2000. Sensivity analyses of pumping test in salt-fresh water aquifer 1. Concentration changes. Proceedings of the 16th Salt Water Intrusion Meeting -SWIM-, 141-150.
Van Der Veer, P. 1977. Analytical solution for steady interface flow in a coastal aquifer involving a phreatic surface with preicipitation. Journal of Hydrology, 34, 1-11. https://doi.org/10.1016/0022-1694(77)90058-0
Voss, C.I. and Souza, W. 1987. Variable density flow and solte transport simulation of regional acuifers containing narrow. Freshwater-saltwater transtion zone. Water Resources Research, 23 (10), 1851-1866. https://doi.org/10.1029/WR023i010p01851
Voss, C.I. 1984. SUTRA. A finite element, fluid-densitydependent goundwater flow eith energy transport or chemically reactive single-species solute transport. USGS, Water Resources Investigations Report 84-4369.
Ward, D.S. 1991. Data input for SWIFT v.2.50. Geo-Trans Technical Report. Sterling, Virginia, USA.
Waterloo Hydrogeologic, 2001. Groundwater Software Bulletin. Waterloo Hydrogeologic, Inc. 180 Columbia St. W.- Unit 1104. Waterloo, Ontario, Canada.
Descargas
Publicado
Cómo citar
Número
Sección
Licencia
Derechos de autor 2026 Consejo Superior de Investigaciones Científicas (CSIC)

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
© CSIC. Los originales publicados en las ediciones impresa y electrónica de esta Revista son propiedad del Consejo Superior de Investigaciones Científicas, siendo necesario citar la procedencia en cualquier reproducción parcial o total.
Salvo indicación contraria, todos los contenidos de la edición electrónica se distribuyen bajo una licencia de uso y distribución “Creative Commons Reconocimiento 4.0 Internacional ” (CC BY 4.0). Consulte la versión informativa y el texto legal de la licencia. Esta circunstancia ha de hacerse constar expresamente de esta forma cuando sea necesario.
No se autoriza el depósito en repositorios, páginas web personales o similares de cualquier otra versión distinta a la publicada por el editor.







