New analytical solutions for groundwater flow in wedge-shaped aquifers with various topographic boundary conditions

Advances in Water Resources

Volumn 29, Issue 3, 2006, Pages 471-480

  Yeh, Hund Der ^a   Chang, Ya Chi ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Analytical solution; Finite sine transform; Groundwater; Hankel transform; Numerical approach; Wedge shaped aquifer

Indexed keywords

AQUIFERS; BESSEL FUNCTIONS; BOUNDARY CONDITIONS; HYDROGEOLOGY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

ANALYTICAL SOLUTION; FINITE SINE TRANSFORM; HANKEL TRANSFORM; HYDROGEOLOGICAL BOUNDARY CONDITIONS; NUMERICAL APPROACH; TOPOGRAPHIC BOUNDARY CONDITIONS; TRANSIENT FLOW; WEDGE-SHAPE AQUIFERS;

GROUNDWATER FLOW;

AQUIFER; BOUNDARY CONDITIONS; FLOW PATTERN; GROUNDWATER;

AQUIFER; BOUNDARY CONDITION; FLOW PATTERN; GROUNDWATER;

EID: 29444440002     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2005.06.002     Document Type: Article

References (14)

1. M. Abramowitz I.A. Stegun Handbook of mathematical functions with formulas, graphs and mathematical tables 1964 National Bureau of Standards, Dover Washington, DC
2. L.C. Adrews B.K. Shivamoggi Integral transforms for engineers 1999 SPIE Optical Engineering Press USA
3. R.L. Burden J.D. Faires Numerical analysis 1989 PWS-KENT Boston
4. Y.K. Chan N. Mullineux J.R. Reed Analytical solutions for drawdowns in rectangular artesian aquifers J Hydrol 31 1976 151-160
5. Y.K. Chan N. Mullineux J.R. Reed G.G. Wells Analytic solutions for drawdowns in wedge-shaped artesian aquifers J Hydrol 36 1978 233-246
6. C.F. Gerald P.O. Wheatley Applied numerical analysis 1989 Addison-Wesley Mass
7. A. Jeffrey I. Ryzhik I. Gradshteyn G. Yu M. Tseytlin Tables of integrals, series, and products 1980 Academic Press New York
8. M.C.T. Kuo W.L. Wang D.S. Lin C.J. Chiang An image-well method for predicting drawdown distribution in aquifers with irregularly shaped boundaries Ground Water 32 5 1994 794-804
9. N.W. McLachlan Bessel functions for engineers 1955 Oxford University Press Great Britain
10. W.H. Press B.P. Flannery S.A. Teukolsky W.T. Vetterling Numerical recipes 1986 Cambridge University Press London
11. F.W. Schwartz H. Zhang Fundamentals of ground water 2003 John Wiley & Sons Inc. New York
12. D. Shanks Non-linear transformations of divergent and slowly convergent sequence J Math Phys 34 1955 1-42
13. C.V. Theis The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage Eos Trans AGU 16 1935 519-524
14. J. Toth A theoretical analysis of groundwater flow in small drainage basins J Geophys Res 68 16 1963 4795-4813