Geosynthetics June/July 2021 - 25

main geometric definitions and notations
that will be used. The value n=3 is to be
considered for household waste.
The following limit state designs are
to be considered:
* Serviceability limit state (SLS) to
verify that the maximum allowable
deformation in the leachate barrier
system is not exceeded. It ensures that
the system will continue to perform
appropriately even after localized and
global settlements.
* Ultimate limit state (ULS) to address
the failure of the reinforced soil layer,
either by insufficient geosynthetic
tensile strength or low interaction
properties between the geosynthetic
and the soil.
It must be verified that none of these
limit states are to be reached either during
construction or during the expected
service life of the cell.
SLS
The maximum admissible deflection for
the lining system is first determined. A
value of 3% is used in the literature for
an 80-mil (2-mm) high-density polyethylene
(HDPE) geomembrane used
as a primary lining system (Seeger and
Müller 1996). The other components of
the leachate barrier system may influence
this value.
The stress distribution on the reinforcement
geosynthetic is considered
uniform and vertical without considering
any contribution from the circumference
of the soil cylinder, as shown in
Equation 1.
(1)
where:
σ: stress on the reinforcement geosynthetic
FSGsup,
FSQsup: factors of safety
The residual stiffness of the reinforcement
geosynthetic during the
service life of the structure (Equation 2)
must be greater than:
(2)
where:
εmax: maximum allowable elongation
in the reinforcement geosynthetic
to ensure that the barrier system
remains fully functional
The strength increase in the reinforcement
geosynthetic will cause the
geosynthetic deformation in the anchoring
zones and will increase the deflection
in the cavity. The stiffness of the
reinforcement geosynthetic must then be
overdesigned to take it into account and
remain within the allowed deformations.
ULS
The ULS design regarding the minimum
required strength of the reinforcement
geosynthetic shall consider the longterm
behavior of the product and its
www.GeosyntheticsMagazine.com
25
γwaste: unit weight of the waste
n: arching effect factor (n=3 for
municipal solid waste)
D: diameter of the cavity
γpb: unit weight of the primary leachate
barrier system
Hpb: thickness of the primary leachate
barrier system
γsb: unit weight of the secondary
leachate barrier system
Hsb: thickness of the secondary leachate
barrier system
γll: unit weight of the leveling layer
(above the reinforcement geosynthetic
layer)
Hll: thickness of the leveling layer
(above the geosynthetic layer)
P: permanent loads
Q: temporary loads
Localized differential
settlements are
difficult to anticipate.
The BRGM guide
suggests taking
them into account by
considering a cavity
with a diameter of 3-6
feet (1-2 m) within
the waste mass.
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Geosynthetics June/July 2021

Table of Contents for the Digital Edition of Geosynthetics June/July 2021

Geosynthetics June/July 2021 - Cover1
Geosynthetics June/July 2021 - Cover2
Geosynthetics June/July 2021 - 1
Geosynthetics June/July 2021 - 2
Geosynthetics June/July 2021 - 3
Geosynthetics June/July 2021 - 4
Geosynthetics June/July 2021 - 5
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