Probability distributions of two‐component soil samples

Ph. Th. Stol

Statistica Neerlandica, 1972, vol. 26, issue 1, 29-44

Abstract: Mixing of sand layers on top of peat soils is achieved by soil improvement machines. The result of the mixing process is studied by taking samples from a vertical cross‐section of the profile. The samples will have various values of the sand to peat volume‐ratio. These values can be plotted in emperical cumulative frequency distributions. The distributions for two types of machines were found to be quite different due to differences of mixing intensities. A method is proposed for the evaluation of the mixing effect expressed in the parameters of theoretical probability distributions of two‐component soil samples. The probability distribution of the volume‐ratios in the sample are derived and their properties are discussed. Moment estimators of the parameters are derived. The theoretical distributions are compared with two experimental results obtained with a mixing rooter and a rotary mixer respectively.

Date: 1972
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