Modeling of karst aquifer genesis: Influence of exchange flow

Water Resources Research

Volumn 39, Issue 10, 2003, Pages

  Bauer, Sebastian ^a   Liedl, Rudolf ^a   Sauter, Martin ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Aquifer evolution; Conduit system; Fissured system; Karst hydrology; Numerical modeling

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DRAINAGE; MATHEMATICAL MODELS; PIPE FLOW;

FIXED FLOW BOUNDARY; TWO FLOW SYSTEMS;

AQUIFERS;

AQUIFER; FISSURE; HYDRAULIC CONDUCTIVITY; KARST HYDROLOGY; KARSTIFICATION; NUMERICAL MODEL;

EID: 1542437235     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002218     Document Type: Article

References (49)

1. Atkinson, T. C., Diffuse flow and conduit flow in limestone terrain in the Mendip Hills, Somerset (Great Britain), J. Hydrol., 35, 93-110, 1977.
2. Annable, W. K., and E. A. Sudicky, Simulation of karst genesis: Hydrodynamic and geochemical rock-water interactions in partially filled conduits, Bull. Hydrogeol., 16, 211-222, 1998.
3. Barenblatt, G. I., I. P. Zheltov, and I. N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech., 24, 1286-1303, 1960.
4. Bauer, S., S. Birk, R. Liedl, and M. Sauter, Solutionally enhanced leakage rates of dams in karst regions, in Karst Modeling, Karst Waters Inst. Spec. Publ., vol. 5, edited by A. N. Palmer, M. V. Palmer, and I. D. Sasowsky, pp. 158-162, Karst Waters Inst, Charles Town, W. Va., 1999.
5. Bear, J., Dynamics of Fluids in Porous Media, Dover, Mineola, N. Y., 1972.
6. Berner, R. A., and J. W. Morse, Dissolution kinetics of calcium carbonate in seawater. IV. Theory of calcite dissolution, Am. J. Sci., 274, 108-134, 1974.
7. Birk, S., R. Liedl, M. Sauter, and G. Teutsch, Hydraulic boundary conditions as a controlling factor in karst genesis: A numerical modeling study on artesian conduit development in gypsum, Water Resour. Res., 39(1), 1004, doi:10.1029/2002WR001308, 2003.
8. Bottrell, S. H., J. Gunn, and D. J. Lowe, Calcite dissolution by sulfuric acid, in Speleogenesis: Evolution of Karst Aquifers, edited by A. B. Klimchouk et al., pp. 156-157, Natl. Speleologic Soc., Huntsville, Ala., 2000.
9. Buhmann, D., and W. Dreybrodt, The kinetics of calcite dissolution and precipitation in geologically relevant situations of karst areas. 1. Open system, Chem. Geol., 48, 189-211, 1985a.
10. Buhmann, D., and W. Dreybrodt, The kinetics of calcite dissolution and precipitation in geologically relevant situations of karst areas. 2. Closed system, Chem. Geol., 53, 109-124, 1985b.
11. Clemens, T., D. Hückinghaus, M. Sauter, R. Liedl, and G. Teutsch, A combined continuum and discrete network reactive transport model for the simulation of karst development, in Calibration and Reliability in Groundwater Modeling: Proceedings of the ModelCARE 96 Conference, IAHS Publ., 237, 309-318, 1996.
12. Dreybrodt, W., The role of dissolution kinetics in the development of karst aquifers in limestone: A model simulation of karst evolution, J. Geol., 98, 639-655, 1990.
13. Dreybrodt, W., Principles of early development of karst conduits under natural and man-made conditions revealed by mathematical analysis of numerical models, Water Resour. Res., 32, 2923-2935, 1996.
14. Dreybrodt, W., Limestone dissolution rates in karst environments, Bull. Hydrogeol., 16, 167-183, 1998.
15. Dreybrodt, W., and L. Eisenlohr, Limestone dissolution rates in karst environments, in Speleogenesis: Evolution of Karst Aquifers, edited by A. B. Klimchouk et al., pp. 463-472, Natl. Speleologic Soc., Huntsville, Ala., 2000.
16. 2 solutions, Geochim. Cosmochim. Acta, 63, 989-1002, 1999.
17. Ewers, R. O., Cavern development in the dimensions of length and breadth, Ph.D. thesis, McMaster Univ., Hamilton, Ontario, Canada, 1982.
18. Ford, D. C., Perspectives in karst hydrology and cavern genesis, Bull. Hydrogeol., 16, 9-29, 1998.
19. Ford, D. C., and P. W. Williams, Karst Geomorphology and Hydrology, Chapman and Hall, New York, 1989.
20. Gabrovšek, F., and W. Dreybrodt, A model of the early evolution of karst aquifers in limestone in the dimensions of length and depth, J. Hydrol., 240, 206-224, 2001.
21. Groves, C. G., and A. D. Howard, Minimum hydrochemical conditions allowing limestone cave development, Water Resour. Res., 30, 607-615, 1994a.
22. Groves, C. G., and A. D. Howard, Early development of karst systems: 1. Preferential flow path enlargement under laminar flow, Water Resour. Res., 30, 2837-2846, 1994b.
23. Gunn, J., A conceptual model for conduit flow dominated karst aquifers, paper presented at International Symposium on Karst Water Resources, Ankara, Turkey, 1985.
24. Hanna, R. B., and H. Rajaram, Influence of aperture variability on dissolutional growth of fissures in karst formations, Water Resour. Res., 34, 2843-2853, 1998.
25. Horlacher, H.-B., and H.-J. Lüdecke, Strömungsberechnung für Rohrsysteme, Expert Verlag, Eningen, Germany, 1992.
26. Howard, A. D., and C. G. Groves, Early development of karst systems: 2. Turbulent flow, Water Resour. Res., 31, 19-26, 1995.
27. Kaufmann, G., and J. Braun, Karst aquifer evolution in fractured rocks, Water Resour. Res., 35, 3233-3238, 1999.
28. Kaufmann, G., and J. Braun, Karst aquifer evolution in fractured, porous rocks, Water Resour. Res., 36, 1381-1391, 2000.
29. Kiraly, L., Modeling karst aquifers by the combined discrete channel and continuum approach, Bull. Hydrogeol., 16, 77-98, 1998.
30. Klimchouk, A. B., D. C. Ford, A. N. Palmer, and W. Dreybrodt (Eds.), Speleogenesis: Evolution of Karst Aquifers, Natl. Speleologic Soc., Huntsville, Ala., 2000.
31. Lauritzen, S.-E., N. Odling, and J. Petersen, Modeling the evolution of channel networks in carbonate rocks, in ISRM Symposium: Eurock '92, edited by J. A. Hudson, pp. 57-62, Am. Soc. Civ. Eng., Reston, Va., 1992.
32. Lei, S., An analytical solution for steady state flow into a tunnel, Ground Water, 37, 23-26, 1999.
33. Liedl, R., M. Sauter, D. Hückinghaus, T. Clemens, and G. Teutsch, Simulation of the development of karst aquifers using a coupled continuum pipe flow model, Water Resour. Res., 39(3), 1057, doi: 10.1029/2001WR001206, 2003.
34. Lowe, D. J., S. H. Bottrell, and J. Gunn, Some case studies of speleogenesis by sulfuric acid, in Speleogenesis: Evolution of Karst Aquifers, edited by A. B. Klimchouk et al., pp. 304-308, Natl. Speleologic Soc., Huntsville, Ala., 2000.
35. McDonald, M. G., and A. W. Harbaugh, A modular three-dimensional finite-difference groundwater model, U.S. Geol. Surv. Open File Rep., 83-875, 1988.
36. Moench, A. F., Double-porosity models for a fissured groundwater reservoir with fracture skin, Water Resour. Res., 20, 831-846, 1984.
37. Narasimhan, T. N., Multidimensional numerical simulation of fluid flow in fractured porous media, Water Resour. Res., 18, 1235-1247, 1982.
38. Palmer, A. N., Solutional enlargement of openings in the vicinity of hydraulic structures in karst regions, paper presented at the 2nd Conference on Environmental Problems in Karst Terranes and Their Solutions, Assoc. of Groundwater Sci. and Eng., Dublin, Ohio, 1988.
39. Palmer, A. N., Origin and morphology of limestone caves, Geol. Soc. Am. Bull., 103, 1-21, 1991.
40. 2, Am. J. Sci., 278, 179-216, 1978.
41. Romanov, D., F. Gabrovšek, and W. Dreybrodt, Interaction of fracture and conduit flow in the evolution of karst aquifers, in Hydrogeology and Biology of Post-paleozoic Carbonate Aquifers, Karst Waters Inst. Spec. Publ., vol. 7, pp. 38-43, Charles Town, W. Va., 2002.
42. Shuster, E. T., and W. B. White, Seasonal fluctuations in the chemistry of limestone springs: A possible means for characterizing carbonate aquifers, J. Hydrol., 14, 93-128, 1971.
43. Siemers, J., and W. Dreybrodt, Early development of karst aquifers on percolation networks of fractures in limestone, Water Resour. Res., 34, 409-419, 1998.
44. 2-water systems approaching calcite equilibrium, Chemi. Geol., 100, 129-145, 1992.
45. Warren, J. E., and P. J. Root, The behavior of naturally fractured reservoirs, Soc. Pet. Eng. J., 3, 245-255, 1963.
46. White, W. B., Role of dissolution kinetics in the development of karst aquifers, Mem. Int. Assoc. Hydrogeol., 12, 503-517, 1977.
47. White, W. B., Geomorphology and Hydrology of Karst Terrains, Oxford Univ. Press, New York, 1988.
48. White, W. B., Conceptual models for karstic aquifers, in Karst Modeling, Karst Waters Inst. Spec. Publ., vol. 5, edited by A. N. Palmer, M. V. Palmer, and I. D. Sasowsky, pp. 11-16, Karst Waters Inst., Charles Town, W. Va., 1999.
49. Worthington, S. R. H., D. C. Ford, and P. A. Beddows, Porosity and permeability enhancement in unconfined carbonate aquifers as a result of solution, in Speleogenesis: Evolution of Karst Aquifers, edited by A. B. Klimchouk et al., pp. 463-472, Natl. Speleologic Soc., Huntsville, Ala., 2000.