Similarity solution to unconfined flow in an aquifer

Transport in Porous Media

Volumn 71, Issue 3, 2008, Pages 265-272

  Pistiner, Arieh ^a  

^a Israel Ministry of the Environmental Protection   (Israel)

Author keywords

Boussinesq equation; Self similar solution

Indexed keywords

AQUIFERS; BOUNDARY CONDITIONS; POROUS MATERIALS; UNSTEADY FLOW;

BOUSSINESQ EQUATION; POWER LAW; UNCONFINED FLOW;

OPEN CHANNEL FLOW;

AQUIFERS; BOUNDARY CONDITIONS; OPEN CHANNEL FLOW; POROUS MATERIALS; UNSTEADY FLOW;

BOUNDARY CONDITION; BOUSSINESQ EQUATION; FLUID FLOW; ONE-DIMENSIONAL MODELING; POROUS MEDIUM; UNCONFINED AQUIFER;

EID: 38649123051     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-007-9124-5     Document Type: Article

References (9)

1. Abramowitz M. and Stegun I.A. (1970). Handbook of Mathematical Functions. Dover, New York, 1046
2. Barenblatt G.I. (1979). Similarity, Self-Similarity and Intermediate Asymptotics. Consultants Bureau, New York
3. Bear J. (1988). Dynamics of Fluids in Porous Media. Dover, New York, 764
4. Chen Z.-X., Bodvarsson G.S., Witherspoon P.A. and Yortsos Y.C. (1995). An integral equation formulation for the unconfined flow of groundwater with variable inlet conditions. Transport Porous Med. 18(1): 15-36
5. Kamke E. (1959). Differentialgleichungen Losungsmethoden und Losungen. Chelsea, New York
6. Lockington D.A., Parlange J.Y., Parlange M.B. and Selker J. (2000). Similarity solution of the Boussinesq equation. Adv. Water Resour. 23(7): 725-729
7. Pulido-Velazquez, D., Sahuquillo, A., Andreu, J.: A two-step explicit solution of the Boussinesq equation for efficient simulation of unconfined aquifers in conjunctive-use models. Water Resour. Res. 42, DOI: 10.1029/2005WR004473 (2006)
8. Rupp, D.E., Selker, J.S.: Drainage of a horizontal Boussinesq aquifer with a power law hydraulic conductivity profile. Water Resour. Res. 41 (11), DOI: 10.1029/2005WR004241 (2005)
9. Telyakovskiy S., Braga G.A. and Furtado F. (2002). Approximate similarity solutions to the Boussinesq equation. Adv. Water Resour. 25(2): 191-194