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A commonly accepted practice in the design of a filter is to use the Terzaghi's criterion. The criterion uses D15 of filter, D85 of soil, and an empirical relation between D15 and D85. The criterion, however, ignores the entire grain size distribution of both soil and filter materials, and can not evaluates the adequacy of a filter in terms of its thickness. To avoid some of the above limitations, a probabilistic method using the Monte Carlo simulation technique in conjunction with two-dimensional random walks was developed. The method evaluates the adequacy of a filter to protect a soil from erosion both in terms of gradation and thickness. To facilitate the Monte Carlo simulation a computer program was implemented. The program uses probabilistic characteristics of both soil and filter materials in terms of their grain size distributions and the filter thickness. As the simulation proceeds, for the soil particle, conditions of migration through or entrapment within the filter develop naturally. By repeating the simulation many times, the program provides frequency distribution of percent of the soil passing through the filter. The results of analyses for typical soil/filter systems used in practice will demonstrate the comparison between the new method and the Terzaghi's criterion.
A commonly accepted practice in the design of a filter is to use the Terzaghi's criterion. The criterion uses D15 of filter, D85 of soil, and an empirical relation between D15 and D85. The criterion, however, ignores the entire grain size distribution of both soil and filter materials, and can not evaluates the adequacy of a filter in terms of its thickness. To avoid some of the above limitations, a probabilistic method using the Monte Carlo simulation technique in conjunction with two-dimensional random walks was developed. The method evaluates the adequacy of a filter to protect a soil from erosion both in terms of gradation and thickness. To facilitate the Monte Carlo simulation a computer program was implemented. The program uses probabilistic characteristics of both soil and filter materials in terms of their grain size distributions and the filter thickness. As the simulation proceeds, for the soil particle, conditions of migration through or entrapment within the filter develop naturally. By repeating the simulation many times, the program provides frequency distribution of percent of the soil passing through the filter. The results of analyses for typical soil/filter systems used in practice will demonstrate the comparison between the new method and the Terzaghi's criterion.
Monte Carlo simulation for filter design
Beikae, M. (author)
1998
16 Seiten, 14 Quellen
Conference paper
English
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