Analytical solutions for 2D topography-driven flow in stratified and syncline aquifers

Advances in Water Resources

Volumn 31, Issue 8, 2008, Pages 1066-1073

  Craig, James R ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Analytical model; Multi layer aquifers; Series solutions; Syncline aquifers; Topography driven flow

Indexed keywords

AGRICULTURAL ENGINEERING; ANISOTROPY; CATCHMENTS; CRYSTALLOGRAPHY; ELECTRIC NETWORK ANALYSIS; FISH; FLOW OF WATER; FLUID MECHANICS; GROUNDWATER; GROUNDWATER FLOW; HYDRAULICS; HYDROGEOLOGY; MATHEMATICAL MODELS; MODAL ANALYSIS; NUMERICAL METHODS; SET THEORY; SOLUTIONS; SURFACE TOPOGRAPHY; THEOREM PROVING; TWO DIMENSIONAL; UNDERGROUND RESERVOIRS; WATER ANALYSIS;

(1 1 0) SURFACE; (1 1 1) ORIENTATION; (I ,J) CONDITIONS; ANALYTICAL SOLUTIONS; CONTROL POINTS; CROSS SECTIONING; DIRICHLET CONDITIONS; ELSEVIER (CO); GENERAL (CO); GOVERNING EQUATIONS; LAYER BOUNDARIES; MULTI-LAYERED; MULTILAYER (ML); MULTIPLE LAYERS; MULTIPLE TESTING; NUMERICAL SOLUTIONS; PIECEWISE CONSTANTS; POLAR COORDINATE SYSTEMS; REGIONAL GROUNDWATER; TWO-DIMENSIONAL (2D); WATER FLOW (IGC: D7/E14); WATER TABLE (WT);

GROUNDWATER RESOURCES;

AQUIFER; FLOW MODELING; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; LEAST SQUARES METHOD; STEADY-STATE EQUILIBRIUM; STRATIFICATION; SYNCLINE; TOPOGRAPHIC EFFECT; TWO-DIMENSIONAL FLOW; TWO-DIMENSIONAL MODELING;

EID: 46849103009     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.04.011     Document Type: Article

References (17)

1. Freeze R., and Cherry J. Groundwater (1979), Prentice-Hall, Englewood Cliffs, New Jersey
2. Freeze R., and Witherspoon P. Theoretical analysis of regional groundwater flow 1) analytical and numerical solution to the mathematical model, water resources research. Water Resour Res 2 4 (1966) 641-656
3. Haitjema H.M., and Mitchell-Bruker S. Are water tables a subdued replica of the topography?. Ground Water 43 6 (2005) 781-786
4. Hsieh, P. TopoDrive and ParticleFlow: Two computer models for simulation and visualization of ground-water flow and transport of fluid particles in two dimensions. Technical report, US geological survey open-file report 01-286; 2001.
5. Hubbert M. The theory of ground-water motion. J Geol 48 8 (1940) 785-944
6. Muskat M. The flow of homogeneous fluids through porous media (1937), McGraw-Hill, New York
7. O'Loughlin O. Prediction of surface saturation zones in natural catchments by topographic analysis. Water Resour Res 22 (1986) 794-804
8. Read W. Series solution for Laplace's equation with nonhomogeneous mixed boundary conditions and irregular boundaries. Math Comput Model 17 12 (1993) 9-19
9. Rogers J.S., Selim H.M., and Fouss J.L. Steady-state flow to drains in terraced multilayered anisotropic soils. Trans ASAE 32 5 (1989) 1605-1613
10. Selim H.M. Water flow through multilayered stratified hillside. Water Resour Res 11 (1975) 949-957
11. Selim H.M. Water flow in layered soils with sloping surface. J Irrig Drain Eng 114 3 (1988) 442-462
12. Selim H.M., and Kirkham D. Unsteady two-dimensional flow of water in unsaturated soils above an impervious barrier. Soil Sci Soc Am Proc 37 (1973) 489-495
13. Selim H.M., Selim M.S., and Kirkham D. Mathematical analysis of steady saturated flow through a multilayered soil with a sloping surface. Soil Sci Soc Am Proc 39 (1976) 445-453
14. Selim M.S., and Selim H.M. Effect of anisotropy on potential flow through a multilayer stratified hillside. Ann Geophy Series B: Terr Planet Phys 5 6 (1987) 545-552
15. Tóth J.A. A theoretical analysis of groundwater flows in small drainage basins. J Geophys Res 68 16 (1963) 4795-4812
16. Wörman A., Packman A.I., Marklund L., Harvey J.W., and Stone S.H. Exact three-dimensional spectral solution to surface-groundwater interactions with arbitrary surface topography. Geophys Res. Lett 33 (2006) 10.1029/2006GL025747
17. Zijl W. Scale aspects of groundwater flow and transport system. Hydrogeol J 7 (1999) 139-150