Orthonormal function tables and the seepage of steady rain through soil bedding
William LeRoy Powers, Don Kirkham, G. Snowden · Journal of Geophysical Research Atmospheres · 1967
Tables of functions are developed for generating, with the aid of a digital computer, sets of general orthonormal functions useful in solving some potential flow problems. As an example of the use of the tables, a flow problem of seepage of ground water through soil bedding (which is a series of formed parallel mounds and depressions used in land drainage design when soil overlies an impermeable layer) is solved. Flow nets are presented for a number of geometries for the bedding problem. It is noted that the bedding problem corresponds to the problem of seepage of ground water into a shallow river between sloping hillsides when horizontal bedrock underlies the river valley.