Universal soil shrinkage curve equation

Leong, Eng Choon; Wijaya, Martin

doi:10.1016/j.geoderma.2014.08.012

Cited by 48 publications

(18 citation statements)

References 17 publications

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“…D r a f t Leong and Wijaya (2015) summarized a number of equations that have been proposed for the fitting of complex multi-modal shrinkage curves; the type sometimes encountered when drying from a variety of initial conditions. The M. Fredlund (2000) proposed mathematical equation has the form of a hyperbole and is used in this paper to illustrate the best-fit of measured shrinkage curve data.…”

Section: Shrinkage Curve Equation For Gravimetric Water Content Versumentioning

confidence: 99%

State of practice for use of the soil-water characteristic curve (SWCC) in geotechnical engineering

Fredlund

2019

Can. Geotech. J.

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Routine geotechnical engineering practice has witnessed a significant increase in the usage of unsaturated soil mechanics principles. Laboratory measurement of the soil-water characteristic curve (SWCC) for a soil has been labelled as a primary reason for the improved understanding of unsaturated soil behaviour. Laboratory measurement of the “shrinkage curve” has yielded further insight into the estimation of unsaturated soil property functions (USPFs). The USPFs provide the necessary information for the simultaneous numerical modeling of the saturated and unsaturated portions of the soil profile. This paper presents a state-of-practice summary of the engineering protocols that have emerged amidst the numerous research studies reported over the past couple of decades. It also introduces issues related to hysteresis associated with the SWCC and suggests a pathway forward.

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Section: Shrinkage Curve Equation For Gravimetric Water Content Versumentioning

confidence: 99%

State of practice for use of the soil-water characteristic curve (SWCC) in geotechnical engineering

Fredlund

2019

Can. Geotech. J.

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“…Several approaches exist for modeling the soil shrinkage curve, including quantifying only certain phases of the overall curve (Giráldez et al, 1983; McGarry and Malafant, 1987), quantifying all phases with assumptions on the shape of each (Tariq and Durnford, 1993; Braudeau et al, 2004), or developing expressions based on the shape of the entire curve (Groenevelt and Grant, 2001; Peng and Horn, 2005; Leong and Wijaya, 2015). For our derivation, we utilize the latter approach and approximate the normalized soil shrinkage curve with a single continuous function:

Φ_{normala normalg normalg normalr} (U) = \frac{(normalε + 1) U^{q}}{1 + normalε U^{q}} = \frac{normalε + 1}{normalε + U^{- q}}

{normalϕ}_{a g g r} (U) = ({normalϕ}_{\max} - {normalϕ}_{\min}) (\frac{ε + 1}{ε + U^{- q}}) + {normalϕ}_{\min}

where ε and q are fitting parameters.…”

Section: Theorymentioning

confidence: 99%

A Unified Model for Soil Shrinkage, Subsidence, and Cracking

Stewart

Rupp

Najm

et al. 2016

Vadose Zone Journal

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Many clayey soils shrink as they dry, causing a shift of porosity from inside to outside the soil aggregates and leading to the formation of shrinkage cracks and/or surface subsidence. During swelling, shrinkage cracks begin to seal and/or the soil surface rises. Previous models have focused on describing shrinkage at the aggregate level, with little success in predicting soil cracking and subsidence. To remedy this shortcoming, we provide a unified, physically based set of governing equations for these three pore domains (aggregates, cracks, and subsidence) and predict the porosity distribution among domains as a function of soil water content and minimal (up to six) additional parameters. Examples collected from a variety of soils show how these functions describe shrinkage of soil samples in the laboratory; quantify the relationships among soil suction, soil shrinkage, and water content using the same set of parameters; and predict sealing of soil cracks in the field. This approach provides the framework for accurate and unified hydromechanical modeling of swelling soils.Many clayey soils shrink when drying and swell when wetted. Such soils-often classified as Vertisols or vertic intergrades-are found across the globe, including within numerous agricultural and urban regions. Vertic soils include significant variation in physical properties, such as bulk density (Peng and Horn, 2007), pore size distribution (Kutílek, 1996), and field-saturated hydraulic conductivity (Messing and

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“…However, change in the volume of bentonite, due to the change in water content, will lead to a change in the permeability of the bentonite [3][4][5]. Thus, it is necessary to construct shrinkage curve to understand the relationship between water content with void ratio of the bentonite [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…A shrinkage curve can be obtained by curve fitting the discrete data points using shrinkage curve equations. Shrinkage curve may have either 2, 3 or 4 linear segments [6,[11][12][13]. Thus, the curve fitting equation is selected according to the type of shrinkage curve.…”

Section: Introductionmentioning

confidence: 99%

Shrinkage Curves for Powder and Granular Bentonites

2019

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Bentonite is one of the most commonly used materials in geotechnical engineering applications especially for isolation purposes due its low permeability and its highly expansive nature. For instance, Geosynthetic Clay Liners (GCL) self-healing ability relies on the swelling properties of the bentonite to close any holes in the GCL while the low permeability of the bentonite serves to reduce the infiltration of leachate to the surrounding soil. However, different types of bentonite have different shrinkage or swelling properties and hence affects the effectiveness of the GCL. A method to assess the wetting/drying induced volume change of the bentonite is through its shrinkage curve. This paper focuses on the shrinkage behaviour of reconstituted granular and powder bentonites which are used in GCL. Photogrammetry method is used to measure the volume change of specimen during drying. The shrinkage curves of the bentonites are then compared with other bentonites from the literature.

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Universal soil shrinkage curve equation

Cited by 48 publications

References 17 publications

State of practice for use of the soil-water characteristic curve (SWCC) in geotechnical engineering

State of practice for use of the soil-water characteristic curve (SWCC) in geotechnical engineering

A Unified Model for Soil Shrinkage, Subsidence, and Cracking

Shrinkage Curves for Powder and Granular Bentonites

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