So. Prasher et al., EFFECT OF SPATIAL VARIABILITY IN HYDRAULIC CONDUCTIVITY ON WATER-TABLE DRAWDOWN, Transactions of the ASAE, 40(2), 1997, pp. 371-375
The field variability in saturated hydraulic conductivity and its impa
ct on water table drawdown was investigated by numerically solving the
Boussinesq equation for 2-D, transient waterflow between parallel dra
ins. Over 500 Monte-Carlo simulations were used to carry-out a paramet
ric uncertainty analysis and determine the risk of waterlogging of the
crop root zone from a given drainage system. The rate of water table
drawdown between the deterministic and stochastic solutions was compar
ed and the growth in uncertainty in the stochastic solution with time
was investigated. Results indicate that the geometric mean of K values
can be used in the deterministic design of drainage systems. However;
a deterministic approach using the arithmetic mean of K values may un
derdesign a drainage system in contrast with the stochastic solution w
hich provides a lesser water table drawdown. In general, the proposed
method can be used to design drainage systems to meet a specific drawd
own criteria with a specified degree of success.