Analytical solutions for pressure perturbation and fluid leakage through aquitards and wells in multilayered-aquifer systems

Water Resources Research

Volumn 47, Issue 10, 2011, Pages

  Cihan, Abdullah ^a   Zhou, Quanlin ^a   Birkholzer, Jens T ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; AQUITARDS; COMBINED EFFECT; DEEP FLUIDS; EIGENVALUE ANALYSIS; FLOW CONTINUITY EQUATIONS; FLOWTHROUGH; FLUID INJECTIONS; FLUID LEAKAGE; GROUNDWATER PUMPING; HYDRAULIC COMMUNICATION; LAPLACE DOMAINS; LINEAR ALGEBRAIC EQUATION; MULTI-LAYERED; NEW SOLUTIONS; NUMERICAL SOLUTION; PRESSURE BUILD UP; PRESSURE CHANGE; PRESSURE PERTURBATION; SOLUTION METHODOLOGY; TRANSIENT FLOW; VERTICAL DIRECTION; VERTICAL FLOWS;

EIGENVALUES AND EIGENFUNCTIONS; FLOW OF FLUIDS; FLUIDS; GROUNDWATER FLOW; GROUNDWATER RESOURCES; HORIZONTAL WELLS; HYDROGEOLOGY; LINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; WELLS;

AQUIFERS;

AQUIFER CHARACTERIZATION; DIFFUSION; EIGENVALUE; FLUID INJECTION; GROUNDWATER FLOW; LAPLACE TRANSFORM; LINEARITY; PUMPING; SUBSURFACE FLOW; WELL WATER;

EID: 80054026571     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011WR010721     Document Type: Article

References (45)

1. Avci, C. (1994), Evaluation of flow leakage through abandoned wells and boreholes, Water Resour. Res., 30(9), 2565-2578, doi:10.1029/94WR 00952.
2. Bear, J. (1972), Dynamics of Fluids in Porous Media, 784 pp., Dover, New York.
3. Bear, J. (1979), Hydraulics of Groundwater, 592 pp., Dover, New York.
4. 2 storage: Regulatory and capacity implications, Int. J. Greenhouse Gas Control, 3(6), 745-756.
5. 2 storage in deep saline aquifers: A sensitivity study on the pressure response in stratified systems, Int. J. Greenhouse Gas Control, 3(2), 181-194.
6. Bredehoeft, J. D., C. E. Neuzil, and P. C. D. Milly (1983), Regional flow in the Dakota aquifer: A study of the role of confining layers, U.S. Geol. Surv. Water Supply Pap., pp. 45:2237.
7. 2 leakage from geological storage: Analytical models, numerical models, and data needs, in 7th International Conference on Greenhouse Gas Control Technologies (GHGT-7), edited by E. S. Rubin, D. W. Keith, and C. F. Gilboy, Vancouver, Canada.
8. 2 and brine leakage along old wells, Int. J. Greenhouse Gas Control, 5(2), 257-269.
9. Cheng, A. H.-D. (1994), Reply to "Comment on 'Multilayered leaky aquifer systems: 1. Pumping well solutions' by A. H.-D. Cheng and O. K. Morohunfola", Water Resour. Res., 30(11), 3231, doi:10.1029/94WR01803.
10. Cheng, A. H.-D., and O. K. Morohunfola (1993), Multilayered leaky aquifer systems: Pumping well solutions, Water Resour. Res., 29(8), 2787-2800, doi:10.1029/93WR00768.
11. Gass, T. E., J. H. Lehr, and H. W. Heiss Jr. (1977), Impact of abandoned wells on ground water, Rep. EPA-600/3-77-095, pp. 53, US Environ. Prot. Agency, Washington, D. C.
12. Hantush, M. S. (1960), Modification of the theory of leaky aquifers, J. Geophys. Res., 65(11), 3713-3725, doi:10.1029/JZ065i011p03713.
13. Hantush, M. S., and C. E. Jacob (1955), Nonsteady radial flow in an infinite leaky aquifer, Eos Trans. AGU, 36(1), 95-100.
14. Hart, D. J., K. R. Bradbury, and D. T. Feinstein (2006), The vertical hydraulic conductivity of an aquitard at two spatial scales, Ground Water, 44(2), 201-211. (Pubitemid 43362901)
15. Hemker, C. J. (1985), Transient well flow in leaky multiple-aquifer systems, J. Hydrol., 81, 111-126.
16. Hemker, C. J., and C. Maas (1987), Unsteady flow to wells in a layered and fissured aquifer systems, J. Hydrol., 90, 231-249. (Pubitemid 17590642)
17. Hemker, C. J., and C. Maas (1994), Comment on "Multilayered leaky aquifer systems: 1. Pumping well solutions" by A. H.-D. Cheng, and O. K. Morohunfola, Water Resour. Res., 30(11), 3229-3230, doi:10.1029/94WR01802.
18. Hemker, C. J., and V. E. A. Post (2011), MLU for Windows-Well flow modeling in multilayer aquifer systems, 30 pp., Amsterdam, Netherlands, available at http://www.microfem.com.
19. Huisman, L., and J. Kemperman (1951), Bemaling van Spanningsgrondwater, De Ingenieur, 62, B29-B35 (in Dutch).
20. Hunt, B. (1985), Flow to a well in a multiaquifer system, Water Resour. Res., 21, 1637-1641, doi:10.1029/WR021i011p01637.
21. Javandel, I., C. F. Tsang, P. A. Whiterspoon, and D. Morganwalp (1988), Hydrologic detection of abandoned wells near proposed injection wells for hazardous waste disposal, Water Resour. Res., 24(2), 261-270, doi:10.1029/WR024i002p00261. (Pubitemid 18564929)
22. Konikow, L. F., and C. E. Neuzil (2007), A method to estimate groundwater depletion from confining layers, Water Resour. Res., 43, W07417, doi:10.1029/2006WR005597. (Pubitemid 350194470)
23. Lesage, S., R. E. Jackson, M. Priddle, P. Beck, and K. G. Raven (1991), Investigation of possible contamination of shallow groundwater by deeply injected liquid industrial wastes, Ground Water Monit. Rev., 11 (winter), 151-159.
24. Maas, C. (1986), The use of matrix differential calculus in problems of multiple- aquifer flow, J. Hydrol., 88, 43-67. (Pubitemid 17494003)
25. Maas, C. (1987a), Groundwater flow to a well in a layered porous medium, 1. Steady flow, Water Resour. Res., 23(8), 1675-1681, doi:10.1029/ WR023i008p01675. (Pubitemid 17634262)
26. Maas, C. (1987b), Groundwater flow to a well in a layered porous medium, 2. Nonsteady multiple-aquifer flow, Water Resour. Res., 23(8), 1683-1688, doi:10.1029/WR023i008p01683. (Pubitemid 17634261)
27. Moench, A. F. (1985), Transient flow to a large-diameter well in an aquifer with storative semiconfining layers, Water Resour. Res., 21(8), 1121-1131, doi:10.1029/WR021i008p01121. (Pubitemid 167792)
28. National Energy Technology Laboratory (NETL) (2010), Carbon Sequestration Atlas of the United States and Canada, Third Edition, National Energy Technology Laboratory Report, December 2010, available at http://www.netl.doe. gov/technologies/carbon-seq/refshelf/atlas/.
29. Neuman, S. P., and P. A.Witherspoon (1969), Theory of flow in a two-aquifer system, Water Resour. Res., 5(4), 803-816, doi:10.1029/WR005i004p 00803.
30. Neuzil, C. E. (1986), Groundwater flow in low-permeability environments, Water Resour. Res., 22(8), 1163-1195, doi:10.1029/WR022i008p01163.
31. Neuzil, C. E. (1994), How permeable are clays and shales?, Water Resour. Res., 30(2), 145-150, doi:10.1029/93WR02930. (Pubitemid 24405774)
32. Nicot, J. P. (2008), Evaluation of large-scale carbon storage on fresh-water section of aquifers: A Texas study, Int. J. Greenhouse Gas Control, 2(4), 582-593.
33. 2 , Environ. Geol., 57, 1625-1638, doi:10.1007/s00254-008-1444-4.
34. Nordbotten, J. M., M. A. Celia, and S. Bachu (2004), Analytical solutions for leakage rates through abandoned wells, Water Resour. Res., 40, W04204, doi:10.1029/2003WR002997.
35. Stehfest, H. (1970a), Numerical inversion of Laplace transforms, Commun. ACM, 13(1), 47-49.
36. Stehfest, H. (1970b), Remark on algorithm. Numerical inversion of Laplace transforms, Commun ACM, 13(10), 624.
37. Theis, C. V. (1935), The relation between the lowering of the piezometric surface head and the rate and duration of discharge of a well using ground-water storage, Eos Trans. AGU, 16, 519-524.
38. Veling, E. J. M., and C. Maas (2009), Strategy for solving semi-analytically three-dimensional transient flow in a coupled N-layered aquifer system, J. Eng. Math., 64, 145-161, doi:10.1007/s/10665-008-9256-9.
39. Yang, Y., and A. C. Aplin (2007), Permeability and petrophysical properties of 30 natural mudstones, J. Geophys. Res., 112, B03206, doi:10.1029/2005JB004243. (Pubitemid 47386336)
40. Yang, Y., and A. C. Aplin (2010), A permeability-porosity relationship for mudstones, Mar. Pet. Geol., 27, 1692-1697.
41. Young, H. L. (1992), Summary of ground-water hydrology of the Cambrian- Ordovician aquifer system in the northern Midwest, United States, U. S. Geol. Surv. Prof. Pap., 1405-A.
42. 2 , Greenhouse Gases: Science and Technology, 1, 11-20, doi:10.1002/ghg3.001.
43. Zhou, Q., J. T. Birkholzer, and C. F. Tsang (2009), A semi-analytical solution for large-scale injection-induced pressure perturbation and leakage in a laterally bounded aquifer-aquitard system, Transp. Porous Media, 78(1), 127-148.
44. 2 storage capacity in closed and semi-closed saline aquifers, Int. J. Greenhouse Gas Control, 2, 626-639.
45. 2 storage for full-scale deployment, Ground Water, 48(4), 494-514.