Mathematical models for determining the radius of r-wave propagation due to pile driving using dimensional analysis

Abstract

This paper represents a method of establishing a mathematical model for determining the radius of R-wave propagation during pile driving. It is necessary to point out the relation between the pile driving energy, duration of pile driving, soil medium, damping and other factors. Dimensiol Matrix Method has been used specifically to create two groups of dimensionless π-terms, i.e mathematical expressions regarding these variables or factors. Results indicates the radius of R-wave propagation: a) is proportioning to the square root of Energy; b) inversely varies to density of soil medium; and c) fastly decrease with distance to the power (-3/2) of distance. Power form of dimensionless products π-terms may be suitably studied to find out which variable affects most to predictor using sensitivity analysis.