A correction factor to account for mixing in Ghyben-Herzberg and critical pumping rate approximations of seawater intrusion in coastal aquifers

Water Resources Research

Volumn 47, Issue 5, 2011, Pages

  Pool, María ^a,b   Carrera, Jeshús ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b INSTITUTE OF ENVIRONMENTAL ASSESSMENT AND WATER RESEARCH   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFER THICKNESS; COASTAL AQUIFERS; CORRECTION FACTORS; DENSITY FACTOR; DISPERSION FACTOR; DUPUIT APPROXIMATION; FRESHWATER SUPPLY; MIXING ZONES; PUMPING RATE; SEAWATER PENETRATION; SHARP INTERFACE; SUSTAINABLE MANAGEMENT; TRANSVERSE DISPERSIVITY; VARIABLE-DENSITY FLOWS;

AQUIFERS; ESTIMATION; HYDROGEOLOGY; MIXING; SALINE WATER; SALT WATER INTRUSION; THREE DIMENSIONAL COMPUTER GRAPHICS;

PUMPS;

COASTAL AQUIFER; EMPIRICAL ANALYSIS; ESTUARINE FRONT; GROUNDWATER RESOURCE; MIXING; NUMERICAL MODEL; PUMPING; SALINE INTRUSION; SEAWATER; SUSTAINABLE DEVELOPMENT; WATER MANAGEMENT;

EID: 80755140700     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR010256     Document Type: Article

References (69)

1. Abarca, E. (2006), Seawater intrusion in complex geological environments, Ph.D. thesis, Tech. Univ. of Catalonia, Barcelona, Spain.
2. Abarca, E., and T. P. Clement (2009), A novel approach for characterizing the mixing zone of a saltwater wedge, Geophys. Res. Lett., 36, L06402, doi:10.1029/2008GL036995.
3. Abarca, E., E. Vázquez-Suńá, J. Carrera, B. Capino, D. Gámez, and F. Batlle (2006), Optimal design of measures to correct seawater intrusion, Water Resour. Res., 42, W09415, doi:10.1029/2005WR004524. (Pubitemid 44619776)
4. Abarca, E., J. Carrera, X. Sanchez-Vila, and M. Dentz (2007), Anisotropic dispersive Henry problem, Adv. Water Resour., 30, 913-926.
5. Ackerer, P., A. Younes, and R. Mose (1999), Modeling variable density flow and solute transport in porous medium: 1. Numerical model and verification, Transp. Porous Media, 35(3), 345-373. (Pubitemid 29401181)
6. Ackerer, P., A. Younes, and M. Mancip (2004), A new coupling algorithm for density-driven flow in porous media, Geophys. Res. Lett., 31, L12506, doi:10.1029/2004GL019496. (Pubitemid 39384088)
7. Ataie-Ashtiani, B., R. E. Volker, and D. A. Lockington (1999), Tidal effects on sea water intrusion in unconfined aquifers, J. Hydrol., 216(1-2), 17-31. (Pubitemid 29130920)
8. Bakker, M. (2003), A Dupuit formulation for modeling seawater intrusion in regional aquifer systems, Water Resour. Res., 39(5), 1131, doi:10.1029/2002WR001710.
9. Bakker,M. (2006), Analytic solutions for interface flow in combined confined and semiconfined, coastal aquifers, Adv. Water Resour., 29, 417-425. (Pubitemid 43009161)
10. Bear, J. (1972), Dynamics of Fluids in Porous Media, 764 pp., Elsevier, Amsterdam.
11. Carrera, J., J. J. Hidalgo, L. J. Slooten, and Vázquez- Suńá (2009), Computational and conceptual issues in the calibration of seawater intrusion models, Hydrogeol. J., 18(1), 131-145, doi:10.1007/s10040-009-0524-1.
12. Cheng, A. H. D., D. Halhal, A. Naji, and D. Ouazar (2000), Pumping optimization in saltwater-intruded coastal aquifers, Water Resour. Res., 36(8), 2155-2165. (Pubitemid 30610905)
13. Cirpka, O. A., and S. Attinger (2003), Effective dispersion in heterogeneous media under random transient flow conditions, Water Resour. Res., 39(9), 1257, doi:10.1029/2002WR001931.
14. Cooper, J. H. H. (1964), A hypothesis concerning the dynamic balance of fresh water and salt water in a coastal aquifer, U.S. Geol. Surv. Water Supply Pap., 1613-C.
15. Dausman, A., C. Langevin, M. Bakker, and F. Schaars (2010), A comparison between SWI and SEAWAT-The importance of dispersion, inversion and vertical anisotropy, paper presented at the 21st Salt Water Intrusion Meeting, Gov. of Azores, Azores.
16. De Simoni, M., J. Carrera, X. Sanchez-Vila, and A. Guadagnini (2005), A procedure for the solution of multicomponent reactive transport problems, Water Resour. Res., 41, W11410, doi:10.1029/2005WR004056. (Pubitemid 43041791)
17. Dentz, M., and J. Carrera (2005), Effective solute transport in temporally fluctuating flow through heterogeneous media, Water Resour. Res., 40, W08414, doi:10.1029/2004WR003571. (Pubitemid 41393343)
18. Dentz, M., and J. Carrera (2007), Mixing and spreading in stratified flow, Phys. Fluids, 19(1), 017107.
19. Destouni, G., and C. Prieto (2003), On the possibility for generic modeling of submarine groundwater discharge, Biogeochemistry, 66(1-2), 171-186. (Pubitemid 38051496)
20. Diersch, H.-J. G., and O.Kolditz (1998), Coupled groundwater flow and transport: 2. Thermohaline and 3D convection systems, Adv. Water Resour., 21, 401-425.
21. DuCommun, J. (1818), On the cause of fresh water springs and fountains, Am. J. Sci., 14, 174-176.
22. Emch, P., and W. Yeh (1998), Management model for conjunctive use of coastal surface water and ground water, J. Water Resour. Plann. Manage., 124(3), 129-139. (Pubitemid 28386151)
23. Finney, B. A., Samsuhadi, and R. Willis (1992), Quasi-3-dimensional optimization model of Jakarta basin, J. Water Resour. Plann. Manage., 118(1), 18-31.
24. Frind, E. (1982), Simulation of long-term transient density-dependent transport in groundwater, Adv. Water Resour., 5, 73-88. (Pubitemid 123740)
25. Furnival, G., and R. J. Wilson (1974), Regression by leaps and bounds, Technometrics, 16, 499-512.
26. Ghyben, B. W. (1888), Nota in Verband met de Voorgenomen Putboring Nabij Amsterdam, Amsterdam, Tijdschr. Kon. Inst. Ing., 9, 8-22.
27. Gingerich, S., and C. Voss (2002), Three-dimensional variable-density flow simulation of a coastal aquifer in southern Oahu, Hawaii, USA, in Proceedings SWIM17 Delft 2002, edited by R. Boekelman, pp. 93-103, Delft Univ. of Technol., Delft, Netherlands.
28. Goswami, R. R., and T. P. Clement (2007), Laboratory-scale investigation of saltwater intrusion dynamics, Water Resour. Res., 43, W04418, doi:10.1029/2006WR005151. (Pubitemid 46799525)
29. Guo, W., and C. Langevin (2002), SEAWAT-User's guide to SEAWAT:A computer program for simulation of three-dimensional varible-density ground-water flow, Tech. Water Resour. Invest., Book 6, Chap. A7, 77 pp.
30. Henry, H. R. (1964), Effects of dispersion on salt encroachment in coastal aquifers, U.S. Geol. Surv. Water Supply Pap., 1613-C.
31. Herzberg, A. (1901), Die Wasserversorgung einiger Nordseebäder, J. Gasbeleucht. Wasserversorg., 44, 815-819, 842-844.
32. Kohout, F. A. (1980), Differing positions of saline interfaces in aquifers and observation boreholes-Comments, J. Hydrol., 48(1-2), 191-195. (Pubitemid 11269869)
33. Kourakos, G., and A. Mantoglou (2009), Pumping optimization of coastal aquifers based on evolutionary algorithms and surrogate modular neural network models, Adv. Water Resour., 32, 507-521.
34. Kim, K.-H. P., and C.-M. Chon (2007), A simple method for locating the freshwater-saltwater interface using pressure data, Groundwater, 45, 723-728. (Pubitemid 350029219)
35. Langevin, C. D. (2003), Simulation of submarine ground water discharge to a marine estuary: Biscayne Bay, Florida, Ground Water, 41(6), 758-771. (Pubitemid 37375066)
36. Lu, C., P. K. Kitanidis, and J. Luo (2009), Effects of kinetic mass transfer and transient flow conditions on widening mixing zones in coastal aquifers, Water Resour. Res., 45, W12402, doi:10.1029/2008WR007643.
37. Mahesha, A. (1996a), Transient effect of battery of injection wells on seawater intrusion, J. Hydraul. Eng., 122(5), 266-271.
38. Mahesha, A. (1996b), Steady-state effect of freshwater injection on seawater intrusion, J. Irrig. Drain. Eng., 122(3), 149-154. (Pubitemid 126556288)
39. Mahesha, A. (1996c), Control of seawater intrusion through injectionextraction well system, J. Irrig. Drain. Eng., 122(5), 314-317.
40. Mantoglou, A. (2003), Pumping management of coastal aquifers using analytical models of saltwater intrusion, Water Resour. Res., 39(12), 1335, doi:10.1029/2002WR001891.
41. Mantoglou, A., M. Papantoniou, and P. Giannoulopoulos (2004), Management of coastal aquifers based on nonlinear optimization and evolutionary algorithms, J. Hydrol., 297(1-4), 209-228. (Pubitemid 38965106)
42. Michael, H. A., A. E. Mulligan, and C. F. Harvey (2005), Seasonal oscillations in water exchange between aquifers and the coastal ocean, Nature, 436(6), 1145-1148. (Pubitemid 41232290)
43. Naji, A., A. B. D. Cheng, and D. Ouazar (1999), BEM solution of stochastic seawater intrusion problems, Eng. Anal. Boundary Elements, 23(7), 529-537.
44. Nordbotten, J. M., and M. A. Celia (2006), An improved analytical solution for interface upconing around a well, Water Resour. Res., 42, W08433, doi:10.1029/2005WR004738. (Pubitemid 44506753)
45. Park, C., and M. Aral (2004), Multi-objective optimization of pumping rates and well placement in coastal aquifers, J. Hydrol., 290(1-2), 80-99. (Pubitemid 38431111)
46. Park, N., L. Cui, and L. Shi (2009), Analytical design curves to maximize pumping or minimize injection in coastal aquifers, Ground Water, 47(6), 797-805.
47. Paster, A., and G. Dagan (2007), Mixing at the interface between two fluids in porous media: A boundary-layer solution, J. Fluid Mech., 584, 455-472. (Pubitemid 47215401)
48. Paster, A., and G. Dagan (2008a), Mixing at the interface between fresh and salt waters in 3D steady flow with application to a pumping well in a coastal aquifer, Adv.Water Resour., 31(12), 1565-1577.
49. Paster, A., and G. Dagan (2008b), Mixing at the interface between two fluids in aquifer well upconing steady flow, Water Resour. Res., 44, W05408, doi:10.1029/2007WR006510. (Pubitemid 351897322)
50. Price, R. M., Z. Top, J. D. Happell, and P. K. Swart (2003), Use of tritium and helium to define groundwater flow conditions in Everglades National Park, Water Resour. Res., 39(9), 1267, doi:10.1029/2002WR001929.
51. Qahman, K., A. Larabi, D. Ouazar, A. Naji, and A. Cheng (2005), Optimal and sustainable extraction of groundwater in coastal aquifers, Stochastic Environ. Risk A, 19(2), 99-110. (Pubitemid 40792121)
52. Rahman, A., S. C. Jose, and W. N. O. A. Cirpka (2005), Experiments on vertical transverse mixing in a large-scale heterogeneous model aquifer, J. Contam. Hydrol., 80, 130-148. (Pubitemid 41531683)
53. Reichard, E., and T. Johnson (2005), Assessment of regional management strategies for controlling seawater intrusion, J. Water Resour. Plann. Manage., 131(4), 280-291. (Pubitemid 41052540)
54. Reilly, T. E., and A. S. Goodman (1987), Analysis of saltwater upconing beneath a pumping well, J. Hydrol., 89(3-4), 169-204. (Pubitemid 17530996)
55. Reinelt, P. (2005), Seawater intrusion policy analysis with a numerical spatially heterogeneous dynamic optimization model, Water Resour. Res., 41, W05006, doi:10.1029/2004WR003111. (Pubitemid 40856456)
56. Rezaei, M., E. Sanz, E. Raeisi, E. Vázquez-Suńá, C. Ayora, and J. Carrera (2005), Reactive transport modeling of calcite dissolution in the saltwater mixing zone, J. Hydrol., 311(1-4), 282-298. (Pubitemid 41261614)
57. Rushton, K. R. (1980), Differing positions of saline interfaces in aquifers and observation boreholes, J. Hydrol., 48(1-2), 185-189. (Pubitemid 11433885)
58. Sanford, W. E., and L. F. Konikow (1989), Simulation of calcite dissolution and porosity changes in saltwater mixing zones in coastal aquifers, Water Resour. Res., 25, 655-667. (Pubitemid 19305690)
59. Shalev, E., A. Lazar, S. Wollman, S. Kington, Y. Yechieli, and H. Gvirtzman (2009), Biased monitoring of fresh water-salt water mixing zone in coastal aquifers, Ground Water, 47(1), 49-56, doi:10.1111/j.1745-6584.2008. 00502.x.
60. Smith, A. J. (2004), Mixed convection and density-dependent seawater circulation in coastal aquifers, Water Resour. Res., 40, W08309, doi:10.1029/2003WR002977. (Pubitemid 39247127)
61. Strack, O. D. L. (1976), A single-potential solution for regional interface problems in coastal aquifers, Water Resour. Res., 12, 1165-1174.
62. Tellam, J. H., J. W. Lloyd, and M. Walters (1986), The morphology of a saline groundwater body: Its investigation, description and possible explanation, J. Hydrol., 83(1-2), 1-21. (Pubitemid 16472286)
63. Volker, R. E., Q. Zhang, and D. A. Lockington (2002), Numerical modelling of contaminant transport in coastal aquifers, Math. Comput. Simul., 55, 35-44. (Pubitemid 34435053)
64. Voss, C. I., and A. Provost (2002), SUTRA, a model for saturated-unsaturated variable-density ground-water flow with solute or energy transport, U.S. Geol. Surv. Water Resour. Invest. Rep., 02-4231.
65. Voss, C. I., and W. R. Souza (1987), Variable density flow and transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone, Water Resour. Res., 26, 2097-2106.
66. Willis, R., and B. Finney (1988), Planning-model for optimal-control of saltwater intrusion, J. Water Resour. Plann. Manage., 114(2), 163-178.
67. Xue, Y. Q., J. Wu, P. M. Liu, J. J. Wang, G. Q. B. Jiang, and H. W. Shi (1993), Sea-water intrusion in the coastal area of Laizhou Bay, China: 1. distribution of sea-water intrusion and its hydrochemical characteristics, Ground Water, 31(4), 532-537. (Pubitemid 23693123)
68. Zhang, Q., R. Volker, and D. Lockington (2001), Influence of seaward boundary condition on contaminant transport in unconfined coastal aquifers, J. Contam. Hydrol., 49(3-4), 201-215. (Pubitemid 32472245)
69. Zhou, Q., J. Bear, and J. Bensabat (2005), Saltwater upconing and decay beneath a well pumping above an interface zone, Transp. Porous Media, 61(3), 337-363. (Pubitemid 40919516)