Representation of water abstraction from a karst conduit with numerical discrete-continuum models

Hydrology and Earth System Sciences

Volumn 18, Issue 1, 2014, Pages 227-241

  Reimann, T ^a   Giese, M ^b   Geyer, T ^b   Liedl, R ^a   Marechal J C ^c   Shoemaker, W B ^d  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

^c Service Eau   (France)

^d NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FIXED-HEAD BOUNDARY; GROUNDWATER STORAGE; HYDRAULIC BEHAVIOR; ITS APPLICATIONS; PERMEABILITY CONTRASTS; QUASI-STEADY-STATE FLOW; STORAGE VOLUMES; WATER ABSTRACTION;

ABSTRACTING; AQUIFERS; BOUNDARY CONDITIONS; CONFINED FLOW; CONTINUUM MECHANICS; HYDROGEOLOGY; WATER CONSERVATION;

LANDFORMS;

AQUIFER; GROUNDWATER ABSTRACTION; HYDROLOGICAL MODELING; INFLOW; KARST HYDROLOGY; NUMERICAL MODEL; STEADY-STATE EQUILIBRIUM; WATER STORAGE;

EID: 84892698199     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-18-227-2014     Document Type: Article

References (43)

1. Ashton, K.: The analysis of flow data from data karst drainage systems. Transactions of the Cave Research Group of Great Britain, 7, 161-203, 1966.
2. Atkinson, T. C., Smith, D. I., Lavis J. J., and Whitaker, R. J.: Experiments in tracing underground waters in limestone, J. Hydrol., 19, 323-349, 1973.
3. Bakalowicz, M.: Karst groundwater: a challenge for new resources, Hydrogeol. J., 13, 148-160, doi:10.1007/s10040-004-0402-9, 2005.
4. Barenblatt, G. I., Zheltov, I. P., and Kochina, I. N.: Basic concepts in the theory of seepage of homogeneous liquids in fissured rock, J. Appl. Mathe. Mechan. (PMM), 24, 1286-1303, 1960.
5. Bauer, S., Liedl, R., and Sauter, M.: Modeling of karst aquifer genesis: Influence of exchange flow, Water Resour. Res., 39, 1285, doi:10.1029/ 2003WR002218, 2003.
6. Bauer, S., Liedl, R. and Sauter, M.: Modeling the influence of epikarst evolution on karst aquifer genesis: A timevariant recharge boundary condition for joint karstepikarst development, Water Resour. Res., 41, W09416, doi:10.1029/2004WR003321, 2005. (Pubitemid 41552202)
7. Birk, S. and Geyer, T.: Prozessbasierte Charakterisierung der dualen Abfluss- und Transporteigenschaften von Karstgrundwasserleitern, Final report DFG project LI 727/10 and SA 20 501/17, unpublished, 2006 (in German).
8. Birk, S., Liedl, R., and Sauter, M.: Karst Spring Responses Examined by Process-Based Modeling, Ground Water, 44, 832-836, 2006. (Pubitemid 44657079)
9. Bourdet, D., Whittle, T. M., Douglas, A. A., and Pirard, Y. M.: A new set of type curves simplifies well test analysis, World Oil (May 1983), 95-106, 1983.
10. Bourdet, D., Ayrob, J. A., and Pirard, Y. M.: Use of pressure derivative in well-test interpretation, SPE Formation Evaluation, June 1989, 293-302, 1989.
11. Cello, P. A., Walker, D. D., Valocchi, A. J., and Loftis, B.: Flow dimension and anomalous diffusion of aquifer tests in fracture networks, Vadose Zone J., 8, 258-268, doi:10.2136/vzj2008.0040, 2009.
12. Cornaton, F. and Perrochet, P.: Analytical 1D dual-porosity equivalent solutions to 3D discrete single-continuum models. Application to karstic spring hydrograph modelling, J. Hydrol., 262, 165-176, 2002. (Pubitemid 34489890)
13. Covington, M. D., Wicks, C. M., and Saar, M. O.: A dimensionless number describing the effects of recharge and geometry on discharge from simple karstic aquifers, Water Resour. Res., 45, W11410, doi:10.1029/2009WR008004, 2009.
14. de Rooij, R.: Towards improved numerical modeling of karst aquifers: Coupling turbulent conduit flow and laminar matrix flow under variably saturated conditions, PhD thesis at Centre d'Hydrogéologie et de Géothermie, Université de Neuchâtel, 2008.
15. de Rooij, R., Perrochet, P., and Graham, W.: From rainfall to spring discharge: Coupling conduit flow, subsurface matrix flow and surface flow in karst systems using a discrete-continuum model, Adv. Water Resour. 61, 29-41, 2013.
16. Doherty, J.: PEST: Model Independent Parameter Estimation, eth Edn. of user manual, Watermark Numerical Computing, Brisbane, Australia, 2005.
17. Drogue, C.: Structure de certains aquifères karstiques d'après les résultats de travaux de forage, Comptes Rendus à l'Académie des Sciences de Paris, série III, 2621-2624, 1974.
18. Drogue, C.: International Contribution to Hydrogeology 13, Verlag Heinz Heise, Hannover, Germany, 133-149, 1992.
19. Geyer, T., Birk, S., Liedl, R. and Sauter, M.: Quantification of temporal distribution of recharge in karst systems from spring hydrographs, J. Hydrol., 348, 452-463, 2008. (Pubitemid 350235452)
20. Geyer, T., Birk, S., Reimann, T., Dörfliger, N., and Sauter, M.: Differentiated characterization of karst aquifers: some contributions, Carbon. Evapor., 28, 41-46, 2013.
21. Halihan, T. and Wicks, C. M.: Modeling of storm response in conduit flow aquifers with reservoirs, J. Hydrol., 208, 82-91, 1998. (Pubitemid 28360281)
22. Hartmann, A., Lange, J.,Weiler, M., Arbel, Y., and Greenbaum, N.: A new approach to model the spatial and temporal variability of recharge to karst aquifers, Hydrol. Earth Syst. Sci., 16, 2219- 2231, doi:10.5194/hess-16-2219- 2012, 2012.
23. Hartmann, A., Weiler, M., Wagener, T., Lange, J., Kralik, M., Humer, F., Mizyed, N., Rimmer, A., Barberá, J. A., Andreo, B., Butscher, C., and Huggenberger, P.: Process-based karst modelling to relate hydrodynamic and hydrochemical characteristics to system properties, Hydrol. Earth Syst. Sci., 17, 3305-3321, doi:10.5194/hess-17-3305-2013, 2013.
24. Hill, M. E., Stewart, M. T., and Martin, A.: Evaluation of the MODFLOW-2005 Conduit Flow Process, Ground Water, 48, 549-559, 2010.
25. Horlacher, H.-B. and Lüdecke, H.-J.: Strömungsberechnung für Rohrsysteme, expert-Verlag, Ehningen bei Böblingen, Germany, p. 218, 1992.
26. Kaufmann, G.: Modelling karst geomorphology on different time scales, Geomorphology, 106, 62-77, 2009.
27. Király, L.: Modelling karst aquifers by the combined discrete channel and continuum approach, Bull. d'Hydrogéol., 16, 77-98, 1998.
28. Király, L.: Karstification and groundwater flow, in: Evolution of Karst. From prekarst to cessation, edited by: Gabrovšek, F., Inštitut za Raziskovanje Krasa, Postojna, Slovenia, 2002.
29. Liedl, R., Sauter, M., Hückinghaus, D., Clemens, T., and Teutsch, G.: Simulation of the development of karst aquifers using a coupled continuum pipe flow model, Water Resour. Res., 39, 1057, doi:10.1029/2001WR001206, 2003.
30. Long, A. J. and Mahler, B. J.: Prediction, time variance, and classification of hydraulic response to recharge in two karst aquifers, Hydrol. Earth Syst. Sci., 17, 281-294, doi:10.5194/hess-17-281- 2013, 2013.
31. Maillet, E. T.: Essais d'hydraulique souterraine et fluviale, Librairie Sci., A. Hermann, Paris, France, 1905.
32. Mangin, A.: Contribution à l'étude hydrodynamique des aquifères karstiques. Ph.D thesis. Université de Dijon, France (Annales de Spéléologie 29 (3), 283-332; 29 (4), 495-601; 30 (1), 21-124), 1975.
33. Mangin, A.: Karst hydrogeology in groundwater ecology, edited by: Gilbert, J., Danielopol, D. L., and Stanford, J. A., 43-67, Acad. Press San Diego, 1994.
34. Maréchal, J. C., Ladouche, B., Dörfliger, N., and Lachassagne, P.: Interpretation of pumping tests in a mixed flow karst system, Water Resour. Res., 44, W05401, doi:10.1029/2007WR006288, 2008. (Pubitemid 351897316)
35. McDonald, M. G. and Harbaugh, A. W.: A modular threedimensional finite-difference ground-water flow model, Techniques of Water Resources Investigations, Book 6, Chapter A1, 1988.
36. Prelovšek, M., Turk, J., and Gabrovšek, F.: Hydrodynamic aspects of caves, Int. J. Speleol. 37, 11-26, 2008.
37. Reimann, T., Geyer, T., Shoemaker,W. B., Liedl, R., and Sauter, M.: Effects of dynamically variable saturation and matrix-conduit coupling of flow in karst aquifers, Water Resour. Res., 47, W11503, doi:10.1029/2011WR010446, 2011.
38. Renard, P., Glenz, D., and Mejias, M.: Understanding diagnostic plots for well-test interpretation, Hydrogeol. J., 17, 589-600, 2009.
39. Sauter, M., Kovács, A., Geyer, T., and Teutsch, G.: Modellierung der Hydraulik von Karstgrundwasserleitern - Eine Übersicht, Grundwasser 11, 143-153, 2006.
40. Shoemaker,W. B., Kuniansky, E. L., Birk, S., Bauer, S., and Swain, E. D.: Documentation of a Conduit Flow Process (CFP) for MODFLOW-2005: US Geological Survey Techniques and Methods, Book 6, Chapter A24, p. 50, 2008.
41. Walker, D. D. and Roberts, R. M.: Flow dimensions corresponding to hydrogeologic conditions, Water Resour. Res., 39, 1349, doi:10.1029/ 2002WR001511, 2003.
42. Worthington, S. R. H.: Groundwater residence times in unconfined carbonate aquifers, J. Cave Karst Stud., 69, 94-102, 2007. (Pubitemid 47490455)
43. Worthington, S. R. H., Davies, G. J., and Ford, D. C.: Matrix, fracture and channel components of storage and flow in a Paleozoic limestone aquifer, in: Groundwater flow and contaminant transport in carbonate aquifers, edited by: Sasowsky, I. D. and Wicks, C. M., 113-128, Balkema, Rotterdam, 2000.