The partial differential equation initial-boundary value problems which describe the three-dimensional axisymmetric flow of water from an infiltrometer through partially saturated soil are solved by finite differences using the alternating direction implicit method. Pertinent features which describe the flow characteristics obtained from 34 solutions for varying initial conditions and for 12 soil types are summarized in tables and figures. Relationships between such features as depth of penetration and lateral movement of the wetting front and rate of application and initial hydraulic head or tension in the soil are developed for several of these soils types from analyses of the results.
Jeppson, Roland W., "Transient Flow of Water From Infiltrometers--Formulation of Mathematical Model and Preliminary Numerical Solutions and Analyses of Results" (1970). Reports. Paper 307.