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Unsaturated‐saturated flow near a quasi‐linear line source
Author(s) -
Warrick A. W.
Publication year - 1993
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/93wr01712
Subject(s) - radius , dimensionless quantity , cylinder , hydraulic conductivity , line (geometry) , geometry , flux (metallurgy) , physics , mechanics , mathematics , materials science , geology , soil water , soil science , computer security , computer science , metallurgy
Soil water flow from a horizontal cylindrical cavity into a surrounding unsaturated soil is analyzed. The steady state saturated bulb is described following the assumption that the conductivity function is K s exp ( αh ), where K s is the saturated hydraulic conductivity (meters per second), α is a constant (meters −1 ), and h is the pressure head (meters). The approach is similar to that recently presented by Philip (1992) for a point source. When the dimensionless matric flux potential 2π K s /( αq ) is larger than 2.5, the corresponding saturated bulb is nearly a cylinder of radius R 0 = 4α −l exp [−(2π K s /α q ) − 0.5772], where q is the source strength (square meters per second). The center of the saturated cylinder is at a distance π R 0 2 K s / q below the line source singularity.