Underseepage analysis of levees on two-layer and three-layer foundation

Gabr, M. A.; Brizendine, Anthony; Taylor, Hugh M.

doi:10.1016/0266-352x(95)00024-5

Cited by 6 publications

(2 citation statements)

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“…Simplified ''blanket-theory'' equations of the type that are derived herein also do not work well for certain multi-layer geologies that cannot be reasonably represented using a two layer system (e.g. Gabr et al, 1996); finite element analyses or the three-layer modeling approach suggested by Gabr et al (1996) are recommended in this situation. A significant benefit of the equations that are derived herein is that the associated closed-form solutions are easy to use and consequently allow for rapid assessment of a problem via parametric studies.…”

Section: Application Of Analytical Model To a Simple Levee Underseepamentioning

confidence: 97%

An analytical approach for levee underseepage analysis

Meehan

Benjasupattananan

2012

Journal of Hydrology

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Keywords:Analytical approach Groundwater flow Levees Underseepage Pressure head Seepage quantity s u m m a r y Levee underseepage analyses are commonly performed to assess the risk of erosion and piping of levee foundation soils. They are also commonly used to estimate the quantity of seepage that is expected to pass beneath a levee over time, and to assess the risk of excessively high pore pressures at various points in the foundation. A variety of approaches have historically been utilized to perform steady-state underseepage analyses in levees, including flow-nets, closed-form analytical solutions, and numerical techniques such as finite difference or finite element analyses. This paper provides a derivation of a series of closed-form ''blanket theory'' analytical equations that can be used to perform a levee underseepage analysis. This derivation starts from a generic confined flow analytical solution, of the type that is common in groundwater flow analyses. The solution is then extended to simulate semiconfined flow beneath a levee in a shallow aquifer. Equations are presented for calculating total head and seepage quantity values for different model boundary conditions. A typical example problem is used to compare the analytical equations that are derived with the analytical equations that are presented in the US Army Corps of Engineers (USACE) levee design manual. The results provide validation for both the equations that are presented and the conventional USACE analytical design approach. Using the results from the example problem, general guidance and suggestions are provided for designers that use closed-form analytical approaches for modeling levee underseepage.

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Section: Application Of Analytical Model To a Simple Levee Underseepamentioning

confidence: 97%

An analytical approach for levee underseepage analysis

Meehan

Benjasupattananan

2012

Journal of Hydrology

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“…In situations where the foundation layer thickness and/or blanket thickness are not fairly consistent, the use of the proposed equations will not produce results that are as reliable as finite-element analyses that take into account the nature of the varying geology. Simplified blanket-theory equations of the type that are derived herein also do not work well for certain multilayer geologies that cannot be reasonably represented using a two-layer system (e.g., Gabr et al 1996); finite-element analyses or the three-layer modeling approach suggested by Gabr et al (1996) are recommended in this situation.…”

Section: D-flowmentioning

confidence: 95%

Analytical Approach for Modeling Axisymmetric Levee Underseepage

Meehan

Benjasupattananan

2014

J. Geotech. Geoenviron. Eng.

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A variety of real-world levee underseepage problems can best be modeled using an axisymmetric analysis approach. In current practice, axisymmetric levee underseepage analyses are performed using numerical modeling approaches, such as the FEM. In contrast, levee underseepage analyses of planar cross sections are often analyzed using a blanket theory analytical approach, which is quicker and more convenient than numerical modeling. To address this problem, this paper provides a derivation of a series of closed-form blanket theory analytical equations that can be used to perform an axisymmetric levee underseepage analysis. This derivation begins from the governing equation of semiconfined fluid flow beneath a levee in a shallow semiconfined aquifer. The equations that result from this derivation can be used to calculate the total head in the pervious foundation layer and the seepage quantity that passes through the levee foundation over time. Different equations are presented for different seepage directions relative to the axis of rotation and different model boundary conditions. A typical example problem is used to compare results from the axisymmetric analytical equations that are derived with those from axisymmetric finite-element analyses. For this example problem, the analytical equations yield results that are equal to or more conservative than those from the finite-element analysis, where conservative results correspond to greater seepage under the levee and higher heads at the levee toe.

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