Ang, Keng Cheng

In this paper, a problem involving time-dependent water flow in a homogeneous soil is considered. The problem involves water infiltration from periodic identical trapezoidal channels. A governing equation of the problem is the Richard's equation, which can be studied more conveniently by transforming the equation to a Helmholtz equation using the Kirchho® transformation with dimensionless variables and a Laplace's transform. A dual reciprocity boundary element method (DRBEM) is employed to solve the Helmholtz equation numerically. Results obtained are found to be physically reasonable.

In this paper, problems involving infiltration from periodic identical trapezoidal channels into homogeneous soils with root water uptake are considered. The governing equation of infiltration through soil is transformed to a modified Helmholtz equation using Kircho® transformation with dimensionless variables. A DRBEM with a predictor-corrector scheme is employed to obtain numerical solutions to the modified Helmholtz equation. The proposed method is used to solve infiltration problems in three different types of soil. Results are shown to be physically meaningful.