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Seismic Stability Analysis of Municipal Solid Waste Landfills Using Strain Dependent Dynamic Properties

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Abstract

Seismic stability analysis is an integral part of the design of municipal solid waste (MSW) landfills in the areas of high seismic activity. The conventional pseudo-static methods were used to calculate the factor of safety of MSW landfills. However, these methods didn’t consider the mode change behaviour of the landfill, amplification acceleration of the ground motion and also, neglected the damping properties of MSW. The objective of the present study is to develop an integrated methodology that gives the seismic acceleration profile in the landfill as well as the factor of safety and yield acceleration values for a typical side-hill type geometric configuration. Strain-dependent dynamic properties (shear modulus and damping ratio) of MSW are computed through an iterative scheme and the same shear modulus and damping ratio are used to calculate the seismic factor of safety of landfills. Amplification of base acceleration is observed at low-frequency input motions. The maximum shear strain generated in the landfill is significantly higher for low-frequency input motions, since, at lower frequencies, the seismic inertial forces at all depths are in phase. Whereas, at higher frequencies, those are out of phase. The factor of safety values computed using the present method are on the higher side when compared to the conventional pseudo-static method of analysis for certain combination of input parameters.

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Abbreviations

B :

Top width of landfill

C a, C p :

Interface cohesion at the base of active and passive wedge respectively

C sw :

Internal cohesion of solid waste

E a, E p :

Resultant inter-wedge force acting on active and passive wedge respectively

E Ha, E Hp :

Horizontal force acting on active and passive wedge respectively, at the inter-wedge

E Va, E Vp :

Vertical force acting on active and passive wedge respectively, at the inter-wedge

F a, F p :

Frictional forces developed at base of active and passive wedge respectively

FS :

Factor of safety of entire waste mass

FS a, FS p :

Factor of safety at the base of active and passive wedge respectively

FS min, FS max, FS avg :

Minimum, maximum and average factor of safety against translational failure

FS V :

Factor of safety at the interface between active and passive wedge

G :

Shear modulus of solid waste

G * :

Complex shear modulus of solid waste

H, H 1 :

Height of landfill components

K * :

Complex wave number

MSW :

Municipal solid waste

N a, N p :

Normal reaction at the base of active and passive wedge respectively

Q Ha, Q Hp :

Horizontal inertia forces on active and passive wedges respectively

T :

Period of lateral shaking

V s :

Shear wave velocity

W a, W p, W t :

Weight of active wedge, passive wedge and total weight of landfill respectively

a h (z, t):

Horizontal acceleration in the waste fill at depth z and time t

g :

Acceleration due to gravity

k:

Wave number

k h :

Seismic acceleration coefficient in horizontal direction

k y :

Yield acceleration coefficient

m a, m p :

Mass of an infinitesimal thin horizontal element in active and passive wedge respectively

t :

Time

u h (z, t):

Horizontal displacement in the waste fill at depth z and time t

z :

Depth from the top of the landfill

α :

Front slope angle

β :

Back slope angle

\(\gamma_{s}\) :

Shear strain

\(\gamma_{sw}\) :

Unit weight of MSW

δ a, δ p :

Interface friction angles at the base of active and passive wedge respectively

\(\eta_{sw}\) :

Viscosity of the solid waste

ξ :

Damping ratio

\(\rho_{sw}\) :

Solid waste density

\(\phi_{sw}\) :

Internal friction angle of solid waste

ω :

Angular frequency of motion = 2π/T

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Authors and Affiliations

  1. Geotechnical Engineering Group, CSIR-Central Building Research Institute, Roorkee, 247667, India

    Anindya Pain, V. S. Ramakrishna Annapareddy & Shantanu Sarkar

Authors
  1. Anindya Pain
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  2. V. S. Ramakrishna Annapareddy
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  3. Shantanu Sarkar
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Correspondence to Anindya Pain.

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Pain, A., Annapareddy, V.S.R. & Sarkar, S. Seismic Stability Analysis of Municipal Solid Waste Landfills Using Strain Dependent Dynamic Properties. Indian Geotech J 49, 204–215 (2019). https://doi.org/10.1007/s40098-018-0314-6

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  • DOI: https://doi.org/10.1007/s40098-018-0314-6

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