TY - JOUR
T1 - Dipole-generated unsaturated flow in Gardner soils
AU - Kacimov, Anvar
PY - 2007/2
Y1 - 2007/2
N2 - 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).
AB - 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).
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U2 - 10.2136/vzj2005.0141
DO - 10.2136/vzj2005.0141
M3 - Article
AN - SCOPUS:34547906111
SN - 1539-1663
VL - 6
SP - 168
EP - 174
JO - Vadose Zone Journal
JF - Vadose Zone Journal
IS - 1
ER -