A method of calculating pumping induced leakage

Journal of Hydrology

Volumn 328, Issue 3-4, 2006, Pages 659-667

  Zhan, Hongbin ^a   Bian, Aiguo ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Analytical solution; Aquifer management; Leakage rate; Leakage volume; Leaky aquifer

Indexed keywords

FLOW OF WATER; LEAKAGE (FLUID); NUMERICAL ANALYSIS; STEADY FLOW;

ANALYTICAL SOLUTIONS; AQUIFER MANAGEMENT; LEAKAGE RATE; LEAKAGE VOLUME; LEAKY AQUIFERS;

AQUIFERS;

AQUIFERS; FLOW OF WATER; LEAKAGE (FLUID); NUMERICAL ANALYSIS; STEADY FLOW;

AQUIFER; GROUNDWATER; LEAKAGE; PUMPING;

EID: 33746900120     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2006.01.010     Document Type: Article

References (21)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1972), Dover, Mineola, NY, USA
2. Bear J. Dynamics of Fluids in Porous Media (1972), Elsevier, New York, USA
3. Butler Jr. J.J., and Tsou M.-S. Pumping-induced leakage in a bounded aquifer: an example of a scale-invariant phenomenon. Water Resour. Res. 39 12 (2003) 1344 10.1029/2002WR001484
4. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids. second ed. (1959), Oxford Science, New York, USA
5. Churchill R.V. Operational Mathematics. third ed. (1972), McGraw-Hill, New York, USA
6. de Hoog F.R., Knight J.H., and Stokes A.N. An improved method for numerical inversion of Laplace transforms. SIAM J. Sci. Stat. Comput. 3 (1982) 357-366
7. Hantush M.S. Hydraulic of Wells. In: Chow V.T. (Ed). Advances in Hydroscience (1964), Academic Press, New York, USA
8. Hantush M.S. Flow of groundwater in relatively thick leaky aquifers. Water Resour. Res. 3 2 (1967) 583-590
9. Hantush M.S., and Jacob C.E. Non-steady radial flow in an infinite leaky aquifer. EOS Trans. AGU 36 1 (1955) 95-100
10. Hunt B. Flow to vertical and non-vertical wells in leaky aquifers. ASCE J. Hydrol. Eng. 10 6 (2005) 477-484
11. Neuman S.P., and Witherspoon P.A. Theory of flow in a confined two-aquifer system. Water Resour. Res. 5 4 (1969) 803-816
12. Neuman S.P., and Witherspoon P.A. Application of current theories of flow in leaky aquifers. Water Resour. Res. 5 4 (1969) 817-829
13. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical Recipes, the Art of Scientific Computing (FORTRAN version) (1989), Cambridge University Press, New York, USA
14. Spanier C.S., and Oldham K.B. An Atlas of Function (1987), Hemisphere Publishing Corporation, New York, USA
15. Stehfest H. Numerical inversion of Laplace transforms. Commun. ACM 13 1 (1970) 47-49
16. Streltsova T.D. Well Testing in Heterogeneous Formations (1988), John Wiley, New York, USA
17. Sun D., and Zhan H. Flow to a horizontal well in an aquifer-aquitard system. J. Hydrol. 321 1-4 (2006) 364-376
18. Talbot A. The accurate numerical inversion of the Laplace transforms. J. Inst. Math. Appl. 23 (1979) 97-120
19. Tseng P.-H., and Lee T.-C. Numerical evaluation of exponential integral: Theis well function approximation. J. Hydrol. 205 (1998) 38-51
20. Zhan H., and Park E. Hydraulics of horizontal wells in leaky aquifers. J. Hydrol. 281 (2003) 129-146
21. Zlotnik V.A., and Zhan H. The aquitard effect on drawdown in water table aquifer. Water Resour. Res. 41 6 (2005) W06022 10.1029/2004WR003716