Analytical solutions for protective filters based on soil-retention and permeability criteria with respect to the phenomenon of soil boiling

作者：Srivastava Amit^*; Babu G L Sivakumar

来源：Canadian Geotechnical Journal, 2011, 48(6): 956-969.

DOI：10.1139/T11-014

• analytical
• soil retention
• permeability
• granular filter
• safety factor
• hydraulic gradient
• seepage

For the successful performance of a granular filter medium, existing design guidelines, which are based on the particle size distribution (PSD) characteristics of the base soil and filter medium, require two contradictory conditions to be satisfied, viz., soil retention and permeability. In spite of the wider applicability of these guidelines, it is well recognized that (i) they are applicable to a particular range of soils tested in the laboratory, (ii) the design procedures do not include performance-based selection criteria, and (iii) there are no means to establish the sensitivity of the important variables influencing performance. In the present work, analytical solutions are developed to obtain a factor of safety with respect to soil-retention and permeability criteria for a base soil - filter medium system subjected to a soil boiling condition. The proposed analytical solutions take into consideration relevant geotechnical properties such as void ratio, permeability, dry unit weight, effective friction angle, shape and size of soil particles, seepage discharge, and existing hydraulic gradient. The solution is validated through example applications and experimental results, and it is established that it can be used successfully in the selection as well as design of granular filters and can be applied to all types of base soils.

• 出版日期2011-6