Abstract
The study aims to propose a mathematical approach to determine the optimum moisture content (<img src=image/14820636_01.gif>) and the corresponding maximum dry unit weight (<img src=image/14820636_02.gif>) of unsaturated fine-grained clay soils with accuracy. Laboratory tests such as grain size distribution, Atterberg limits, specific gravity, Proctor compaction test, and soil suction measurement are conducted to assess soil properties. The WOP and <img src=image/14820636_02.gif> are determined using the mathematical approach based on differential function (∂) and the graphical method. The differences in optimum moisture content values between the mathematical approach and the graphical method (<img src=image/14820636_03.gif>) values are 0.43 %, 0.36 %, 0.42 %, 0.24 %, respectively for soils PES, BFS, WIS, BES, and induced differences in total suction of 179.17 kPa, 144.00 kPa, 175.00 kPa, 96.00 kPa, respectively for soils PES, BFS, WIS, BES. Moreover, the differences in matric suction are 148.27 kPa, 116.13 kPa, 144.83 kPa, 80.00 kPa, respectively for soils PES, BFS, WIS, BES. <img src=image/14820636_02.gif> and <img src=image/14820636_03.gif> values are smaller than 0.5 % and marginal in the context of saturated soil mechanics. However, the total suction and matric suction values induced by <img src=image/14820636_02.gif> values are significant for unsaturated soils. An accurate estimation of <img src=image/14820636_03.gif> and <img src=image/14820636_01.gif> can be performed on unsaturated compacted soils using the mathematical approach.
Highlights
In 1933 Proctor developed a compaction test in the lab to assess the maximum dry unit weight of compacted soils used for field compaction requirements [1]
The compaction parameters of soil are obtained from the lab compaction test
The WOP and γdmax are determined from compaction curves using the mathematical approach and graphical method for soils PES, BFS, WIS, BES presented in Figures 3, 4, 5 & 6
Summary
In 1933 Proctor developed a compaction test in the lab to assess the maximum dry unit weight (γdmax) of compacted soils used for field compaction requirements [1]. Researchers like [2,3,4,5] have described in detail the various methods for obtaining WOP and γdmax of clayey soils from proctor compaction. In the compaction test method, the WOP and corresponding γdmax are determined under the prerequisite of a given compaction work and adopted according to standard [6]. References [7,8,9,10,11] proposed equations to predict the compaction characteristics These equations do not consider the effect of soil suction on compaction parameters. The primary objective of this current research work is to propose a mathematical approach to accurately determine the WOP and the corresponding γdmax of unsaturated fine-grained clay soils. The relation (1) below describes the soil suction (ψ) in kPa
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