Approximate analytical solutions for modeling subsurface flow

Equations of subsurface flow of water, the Richards equation and the Boussinesq equation, have no known exact analytical solutions. Approximate analytical solutions to these equations have been developed under linearizing simplifications. In the first part of the dissertation two commonly used linear methods of computation of groundwater flow are investigated. The equation considered includes a recharge term and slope of an impervious bed. A new method of computation with improved accuracy has been developed. The second part of the dissertation deals with vertical, unsaturated flow of water in a homogeneous soil column of finite length with arbitrary initial conditions. The boundary conditions considered at the soil surface correspond to pre-ponding and post-ponding infiltration.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Civil Engineering

Department dc:contributor.department

Civil Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1983

Author dc:creator

• Baniukiewicz, Andrzej

Chairs dc:contributor.committeechair

• Smolen, M.D.
• Kuo, C.Y.

Committee members dc:contributor.committeemember

• Watson, Layne T.
• Ross, B. Blakely
• Younos, T.M.

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/76105

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/76105