Estimating finite difference block equivalent hydraulic conductivity for numerically solving the Richards' equation

Hydrological Processes

Volumn 21, Issue 26, 2007, Pages 3587-3600

  Feng, Chih Yung ^a   Lee, Tim Hau ^a   Lee, Wen Sen ^a   Chen, Chu Hui ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b CHINA UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Darcy's Law; Equivalent hydraulic conductivity; Finite difference; Numerical simulation; Richards' equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; INFILTRATION;

DARCY'S LAW; DIRICHLET TYPE BOUNDARY CONDITION; FINITE DIFFERENCE BLOCK; NEUMANN TYPE BOUNDARY CONDITION; RICHARD'S EQUATION;

HYDRAULIC CONDUCTIVITY;

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; HYDRAULIC CONDUCTIVITY; INFILTRATION;

BOUNDARY CONDITION; COMPUTER SIMULATION; DARCY LAW; ESTIMATION METHOD; FINITE DIFFERENCE METHOD; GEOMETRY; HYDRAULIC CONDUCTIVITY; INFILTRATION; RICHARDS EQUATION;

EID: 37549033504     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.6585     Document Type: Article

References (19)

1. Avraam DR, Payatakes AC. 1995. Flow regimes and relative permeabilities during steady-state two-phase flow in porous media. Journal of Fluid Mechanics 293: 207-236.
2. Bear J. 1979. Hydraulics of Groundwater. McGraw-Hill: New York.
3. Brooks RH, Corey AT. 1964. Hydraulic properties of porous media. In Hydrology Paper 3. Colorado State University: Fort Collins, CO.
4. Celia MA, Bouloutas ET, Zarba RL. 1990. A general mass-conservative numerical solution for the unsaturated flow equation. Water Resources Research 26(7): 1483-1496.
5. Chu SH. 2002. Improvement on mass conservation and numerical diffusion for flow simulation model in unsaturated zone. MSCE thesis, National Chiao Tung University, Hsinchu, Taiwan.
6. Darcy H. 1856. Les fontaines publiques de la ville de Dijon. Dalmont: Paris.
7. Haverkamp, R, Vauclin M. 1979. A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems. Water Resources Research 13(1): 181-187.
8. Hsiao WS. 1996. Numerical study on the infiltration in unsaturated zone. MSCE thesis, National Taiwan University, Taipei, Taiwan.
9. Kirkland MR, Hills RG. 1992. Algorithms for solving Richards' equation for variably saturated soils. Water Resources Research 28(8): 2049-2058.
10. Leij FJ, Haverkamp R, Fuentes C, Zatarain F, Ross PJ. 2005. Soil water retention: II. Derivation and application of shape index. Soil Science Society of America Journal 69: 1891-1901.
11. Lenormand R, Zarcone C, Sarr A. 1983. Mechanisms of the displacement of one fluid by another in a network of capillary ducts. Journal of Fluid Mechanics 135: 337-353.
12. Mualem Y. 1976. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research 12: 513-522.
13. Oostrom M, Lenhard RJ. 1998. Comparison of relative permeability-saturation-pressure parametric models for infiltration and redistribution of a light nonaqueous-phase liquid in sandy porous media. Advances in Water Resources 21(2): 145-157.
14. Ross PJ. 1990. Efficient numerical method for infiltration using Richards' equation. Water Resources Research 26(2): 279-290.
15. Ross PJ. 2003. Modeling soil water and solute transport - first, simplified numerical solutions. Agronomy Journal 95: 1352-1361.
16. Rawls WJ, Brakensiek DL. 1985. Prediction of soil water properties for hydrologic modeling. Watershed Management in the Eighties. ASCE: Reston, VA; 293-299.
17. Richards LA. 1931. Capillary conduction of liquids through porous media. Physics 1: 318-333.
18. Touma J, Vauclin M. 1986. Experimental and numerical analysis of two phase infiltration in a partially saturated soil. Transport in Porous Media 1: 27-55.
19. van Genuchten MTh. 1980. A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 44: 892-898.