Journal of Hydrology, 74 (1984) 295--309 295
Elsevier Science Publishers B.V., Amsterdam -- Printed in The Netherlands
[5]
SIMPLIFIED DETERMINATION AND SENSITIVITY ANALYSIS OF
SOIL-MOISTURE RETENTION CURVES AND HYDRAULIC
CONDUCTIVITY
EPAMINONDAS SIDIROPOULOS and STAVROS YANNOPOULOS
School of Technology, Aristotle University of Thessaloniki, Thessaloniki (Greece)
(Received September 30, 1983; revised and accepted March 16, 1984)
ABSTRACT
Sidiropoulos, E. and Yannopoulos, S., 1984. Simplified determination and sensitivity
analysis of soil-moisture retention curves and hydraulic conductivity. J. Hydrol., 74:
295--309.
A simple algorithm is presented that estimates the parameters contained in the Van
Genuchten analytical soil-moisture characteristic curves. No graphical estimations are
involved and convergence is rapid. The values obtained from the simple algorithm are
introduced as starting values in a Newton--Raphson minimization procedure which yields
more accurate evaluations of the parameters. The very good approximation offered by
the simple algorithm is responsible for the small number of subsequent Newton--Raphson
iterations. Based on the final results of the minimization scheme an analytical sensitivity
analysis is carried out with respect to changes induced in the basic parameter "residual
water content". Soils with a wide range of hydraulic properties were subjected to the
above analysis. It is demonstrated that for lower water contents the sensitivity of the
hydraulic conductivity becomes by 2--5 orders of magnitude larger than it is for higher
ones.
INTRODUCTION
In order to solve the equations of moisture transfer in soil it is necessary
to know the hydraulic conductivity K as a function of water content 0 or
pressure head h.
Values of hydraulic conductivity must be obtained experimentally (Hillel,
1980). However, direct hydraulic conductivity measurements, either in
laboratory or in situ, are time consuming, expensive and require extensive
preparation. Critical reviews of various measurement techniques have been
presented, e.g. by Klute (1972) and Hillel (1980).
For the above reasons various models have been suggested that permit
relative hydraulic conductivity prediction based solely on soil-moisture
retention curves, which are much easier to obtain. In this connection
methods have been developed based on a statistical model due to Childs and
0022-1694/84/$03.00 © 1984 Elsevier Science Publishers B.V.