Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Peck (1983)
Field Variability of Soil Physical Properties, 2
R. Barnes, I. Jankovic (1999)
Two-dimensional flow through large numbers of circular inhomogeneitiesJournal of Hydrology, 226
J. Philip, J. Knight, R. Waechter (1989)
Unsaturated seepage and subterranean holes: Conspectus, and exclusion problem for circular cylindrical cavitiesWater Resources Research, 25
P. Moon, D. Spencer (1961)
Field Theory Handbook
J. Philip (1968)
Steady Infiltration From Buried Point Sources and Spherical CavitiesWater Resources Research, 4
W. Gardner (1958)
SOME STEADY‐STATE SOLUTIONS OF THE UNSATURATED MOISTURE FLOW EQUATION WITH APPLICATION TO EVAPORATION FROM A WATER TABLESoil Science, 85
I. Jankovic, R. Barnes (1999)
Three-dimensional flow through large numbers of spheroidal inhomogeneitiesJournal of Hydrology, 226
S. Wheatcraft, F. Winterberg (1985)
Steady State Flow Passing Through a Cylinder of Permeability Different From the Surrounding MediumWater Resources Research, 21
Two‐dimensional unsaturated flow is considered through a circular inclusion. The hydraulic conductivity is of the form Kiexp(αh) where the saturated conductivity Ki is different in the main flow regime and the inclusion, α is a constant in the entire flow domain, and h is the pressure head. The problem reduces to the Helmholtz equation as previously used by J. R. Philip and colleagues for solving problems with impermeable regions or cavities in an unsaturated regime. The pressure heads are continuous on the interface of the inclusion. The normal flow velocities at the interface are matched approximately using the analytical element method recently exploited for saturated domains in several studies. Flow enhancement and exclusion through the circular inclusions are dependent on the value of α and the radius of the cylinder but otherwise are similar to that for the saturated case. For example, for ratios of the inclusion to background saturated conductivity of 0.5 the flow is 0.74 of what it would be without the inclusion compared to 0.67 for the saturated case. This was calculated for a dimensionless radius (0.5 α multiplied by the physical radius) of 1. When the ratio of the inclusion saturated conductivity to the background is 5, the comparable value for the unsaturated case is 1.45 and for the saturated case is 1.67.
Water Resources Research – Wiley
Published: Jul 1, 2002
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.