Quick Search:    advanced search

GSW Home   GeoRef Home   My GSW Alerts   Contact GSW   About GSW   Journals List   Help

This Article Figures Only Full Text Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in Web of Science Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via Google Scholar Google Scholar Articles by Kacimov, A. Search for Related Content GeoRef GeoRef Citation

Dipole-Generated Unsaturated Flow in Gardner Soils

Dep. of Soils, Water and Agricultural Engineering, P.O. Box 34, Al-Khod 123, Sultan Qaboos Univ., Sultanate of Oman

Correspondence: ^* Corresponding author (anvar{at}squ.edu.om)

Received for publication 4 December 2005. The Bystrov explicit analytical solution for viscous, low-Reynolds number flow in layers of variable thickness is interpreted as infiltration in a Gardner homogeneous soil obstructed by a subterranean cavity, stone, or other obstacle. Mathematically, the two-dimensional advection–dispersion equation for the Kirchhoff potential is solved by combination of a term responsible for incident unidirectional infiltration, and a term describing a dipole. Superposition results in a separatrix (a cavity or stone contour), outside of which streamlines are deflected from vertical lines, and constant potential (pressure, moisture content) lines demarcating lobe-shaped domains. The physical impedance of the obstacle causes a buildup of moisture near the leading edge and a dry zone near the trailing edge of the obstacle. The criticality conditions of the model were also tested (i.e., that the moisture content in the flow domain is less than porosity but greater than zero).

Abbreviations: AEM, analytical element method • MHE, modified Helmholtz equation • SSADE, steady-state advection–dispersion equation