Constant-head test in a leaky aquifer with a finite-thickness skin

Journal of Hydrology

Volumn 399, Issue 3-4, 2011, Pages 326-334

  Wen, Zhang ^a,c   Zhan, Hongbin ^a,b   Huang, Guanhua ^c   Jin, Menggui ^a  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b TEXAS A AND M UNIVERSITY   (United States)

^c CHINA AGRICULTURAL UNIVERSITY   (China)

Author keywords

Constant head test; Laplace transform; Leaky aquifer; Sensitivity analysis; Skin effect

Indexed keywords

AQUIFER-AQUITARD SYSTEM; AQUITARDS; CONSTANT-HEAD TEST; DELAYED RESPONSE; FINITE-THICKNESS SKIN; FORMATION ZONE; GROUND-WATER HYDROLOGY; LAPLACE-DOMAIN SOLUTION; LEAKY AQUIFERS; TESTING METHOD; TIME DOMAIN SOLUTION; TRANSMISSIVITY;

AQUIFERS; ELECTRIC CONDUCTORS; GROUNDWATER RESOURCES; HYDROGEOLOGY; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; TESTING;

TIME DOMAIN ANALYSIS;

AQUIFER; DISCHARGE; NUMERICAL MODEL; PERMEABILITY; SENSITIVITY ANALYSIS; WELL;

EID: 79952008526     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.01.010     Document Type: Article

References (43)

1. Barker J.A., Herbert R. Pumping tests in patchy aquifers. Ground Water 1982, 20(2):150-155.
2. Bear J. Hydraulics of Groundwater 1979, McGraw-Hill Book Company, New York.
3. Chang C.C., Chen C.S. An integral transform approach for a mixed boundary problem involving a flowing partially penetrating well with infinitesimal well skin. Water Resour. Res. 2002, 38(6):1071. 10.1029/2001WR001091.
4. Chen C.S., Chang C.C. Use of cumulative volume of constant-head injection test to estimate aquifer parameters with skin effects: Field experiment and data analysis. Water Resour. Res. 2002, 38(5):1056. 10.1029/2001WR000300.
5. Chen C.S., Chang C.C. Theoretical evaluation of non-uniform skin effect on aquifer response under constant rate pumping. J. Hydrol. 2006, 317:190-201.
6. Chen Y.J., Yeh H.D. Parameter estimation/sensitivity analysis for an aquifer test with skin effect. Ground Water 2009, 47(2):287-299.
7. Chiu P.Y., Yeh H.D., Yang S.Y. A new solution for a partially penetrating constant-rate pumping well with a finite-thickness skin. Int. J. Numer. Anal. Methods Geomech. 2007, 31:1659-1674.
8. Crump K.S. Numerical inversion of Laplace tranforms using a Fourier-series approximation. J. ACM 1976, 23(1):89-96.
9. de Hoog F.R., Knight J.H., Stokes A.N. An improved method for numerical inversion of Laplace transforms. SIAM J. Sci. Stat. Comput. 1982, 3(3):357-366.
10. Dougherty D.E., Babu D.K. Flow to a partially penetrating well in a double-porosity reservoir. Water Resour. Res. 1984, 20(8):1116-1122.
11. Hantush M.S. Nonsteady flow to flowing wells in leaky aquifers. J. Geophys. Res. 1959, 64(8):1043-1052.
12. Hantush M.S. Modification of the theory of leaky aquifers. J. Geophys. Res. 1960, 65(11):3713-3725.
13. Hantush M.S. Hydraulics of wells. Advances in Hydroscience, vol. 1 1964, 281-432. Academic, San Diego, Calif. V.T. Chow (Ed.).
14. Hiller C.K., Levy B.S. Estimation of aquifer diffusivity from analysis of constant-head pumping test data. Ground Water 1994, 32(1):47-52.
15. Huang Y.C., Yeh H.D. The use of sensitivity analysis in on-line aquifer parameter estimation. J. Hydrol. 2007, 335(3-4):406-418.
16. Hurst W. Establishment of the skin effect and its impediment to flud flow into a well bore. Pet. Eng. 1953, 25(2):B6.
17. Hurst W., Clark J.D., Brauer E.B. The skin effect in producing wells. J. Pet. Tech. 1969, 246:1483-1489.
18. Jacob C.E., Lohman S.W. Nonsteady flow to a well of constant drawdown in an extensive aquifer. Eos. Trans. AGU 1952, 33(4):559-569.
19. Jones L., Lemar T., Tsai C.T. Results of two pumping tests in Wisconsin age weathered till in Iowa. Ground Water 1992, 30:529-538.
20. Jones L. A comparison of pumping and slug tests for estimating the hydraulic conductivity of unweathered Wisconsin age till in Iowa. Ground Water 1993, 31:896-904.
21. Kabala Z.J., Cassiani G. Well hydraulics with the Weber-Goldstein transforms. Trans. Porous Med. 1997, 29(2):225-246.
22. Kabala Z.J. Sensitivity analysis of a pumping test on a well with wellbore storage and skin. Adv. Water Resour. 2001, 24(5):483-504.
23. Mishra S., Guyonnet D. Analysis of observation-well response during constant-head testing. Ground Water 1992, 30(4):523-528.
24. Moench A.F., Hsieh P. Comment on " Evaluation of slug tests in wells containing a finite-thickness skin" by C.R. Faust and J.W. Mercer. Water Resour. Res. 1985, 21(9):1459-1461.
25. Motz L.H. Leaky one-dimensional flow with storage and skin effect in finite-width sink. J. Irrig. Drain. Eng. 2002, 128(5):298-304.
26. Murdoch L.C., Franco J. The analysis of constant drawdown wells using instantaneous source functions. Water Resour. Res. 1994, 30(1):117-124.
27. Park E., Zhan H. Hydraulics of a finite-diameter horizontal well with wellbore storage and skin effect. Adv. Water Resour. 2002, 25(4):389-400.
28. Park E., Zhan H. Hydraulics of horizontal wells in fractured shallow aquifer systems. J. Hydrol. 2003, 281(1-2):147-158.
29. Pasandi M., Samani N., Barry D.A. Effect of wellbore storage and finite thickness skin on flow to a partially penetrating well in a phreatic aquifer. Adv. Water Resour. 2008, 31:383-398.
30. Stehfest H. Algorithm 368 numerical inversion of Laplace transforms. Commun. ACM 1970, 13(1):47-49.
31. Stehfest H. Remark on algorithm 368 numerical inversion of Laplace transforms. Commun. ACM 1970, 13(10):624-625.
32. Tavenas F., Diene M., Leroueil S. Analysis of the in situ constant-head permeability test in clays. Can. Geotech. J. 1990, 27:305-314.
33. Walton W.C. Aquifer Test Modeling 2007, CRC Press, Boca Raton, FL, pp. 21-22.
34. Wilkinson W.B. Constant head in situ permeability tests in clay strata. Geotechnique 1968, 18:172-194.
35. Yang S.Y., Yeh H.D. Solution for flow rates across the wellbore in a two-zone confined aquifer. J. Hydraul. Eng. ASCE 2002, 128(2):175-783.
36. Yang S.Y., Yeh H.D. Laplace-domain solutions for radial two-zone flow equations under the conditions of constant-head and partially penetrating well. J. Hydraul. Eng. ASCE 2005, 131(3):209-216.
37. Yang S.Y., Yeh H.D. A novel analytical solution for constant-head test in a patchy aquifer. Int. J. Numer. Anal. Meth. Geomech. 2006, 30:1213-1230.
38. Yang S.Y., Yeh H.D. Radial groundwater flow to a finite diameter well in a leaky confined aquifer with a finite-thickness skin. Hydrol. Process. 2009, 23:3382-3390.
39. Yeh H.D. Theis' solution by nonlinear least-squares and finite-difference Newton's method. Ground Water 1987, 25:710-715.
40. Yeh H.D., Chen Y.J., Yang S.Y. Semi-analytical solution for a slug test in partially penetrating wells including the effect of finite-thickness skin. Hydrol. Process. 2008, 22:3741-3748.
41. Yeh H.D., Yang S.Y. A novel analytical solution for a slug test conducted in a well with a finite-thickness skin. Adv. Water Resour. 2006, 29:1479-1489.
42. Zhan H., Wen Z., Huang G., Sun D. Analytical solution of two-dimensional solute transport in an aquifer-aquitard system. J. Contam. Hydrol. 2009, 107:162-174.
43. Zhan H., Wen Z., Gao G. An analytical solution of two-dimensional reactive solute transport in an aquifer-aquitard system. Water Resour. Res. 2009, 45:W10501. 10.1029/2008WR007479.