Mb. Quadri et al., AXISYMMETRICAL TRANSPORT OF WATER AND SOLUTE UNDERNEATH A DISK PERMEAMETER - EXPERIMENTS AND NUMERICAL-MODEL, Soil Science Society of America journal, 58(3), 1994, pp. 696-703
No analytical solution exists for two-dimensional, axisymmetric flow o
f both water and solute underneath a disk permeameter. We developed a
finite-difference numerical scheme for such flows. Laboratory experime
nts were also conducted using a box containing repacked sand. A 1/4-se
ctor disk permeameter was located on the surface in one corner. The di
sk, first containing pure water, was placed on the soil for 200 s. It
was then removed, refilled with a KBr solution, and replaced at 225 s.
Finally after 12.5 min the disk was removed and soil samples extracte
d along three radial transects under the disk. In two other experiment
s, the disk, containing only pure water, was left on the soil surface
and soil samples removed at the end i.e., 6 and 14 min. A tensiometer
inserted through one face of the box and located just 20 nun under the
disk recorded the changing soil water pressure head with time, h(t).
Good predictions of both the water content and Br- profiles were achie
ved with the numerical model, and good renditions of h(t) and the tran
sient flow rate from the disk, q(t). Our results reinforce the need fo
r caution when determining the soil's sorptivity from observations of
q vs. t1/2. Care is required in deciding when q has indeed become stea
dy. Numerical models, such as this one might serve as parameter-identi
fication tools when using a tracer-filled disk permeameter to infer th
e chemical transport properties of soil.