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7

th

 International Conference on Environmental Science and Technology 

Ermoupolis, Syros island, Greece – Sept. 2001 

RISK ANALYSIS OF LANDFILL DESIGN RESPONSE  

TO SEISMIC LOADING 

 

Telemachus C. KOLIOPOULOS

1

, Adamantios SKORDILIS

 

1

University of Strathclyde, Department of Civil Engineering, Centre for Environmental 

Management Research, Glasgow G4 ONG, Scotland, UK, 

t_koliopoulos64@hotmail.com, 

2

Department of Environmental Studies, University of Aegean, 

17 Karadoni Str., 81 100 Mytilene, Greece, askor@tee.gr. 

 

ABSTRACT 

This paper presents the involved risk of landfill design response to seismic loading. As case 
studies of the seismic impact zones to horizontal acceleration are selected the zones which exist 
in Greece according to the Greek Antiseismic Regulations (GAR). Comparisons and risk 
analysis and useful conclusions of the involved environmental hazard of landfill movement are 
made of the examining case studies. 
 
 
1.

   

INTRODUCTION 

 
Sanitary landfill remains an attractive disposal route for municipal solid waste, as it is more 
economical method than other alternative waste disposal systems (ie incineration method). The 
landfill biodegradation processes are complex, including many factors that control the 
progression of the waste mass to final stage (Fleming, 1996; Kollias, 1993; Koliopoulos et al. 
1998, 1999; Skordilis, 1993; Tchobanoglous et al. 1993). The landfill gas and leachate 
generation is an inevitable result of the solid waste biodegradation in landfills and their study is 
necessary for future efficient designs, controlling air and groundwater pollution (Fleming 1996; 
Koliopoulos 1997, 2000; Skordilis, 1993; Kollias, 1993; Tchobanoglous et al. 1993).  
  
Landfilling technologies have been strongly developed in the last decade. Large sanitary 
landfills are preferred because these provide better opportunities for potential hazard control and 
an increasing potential for energy recovery. Efficiently managed sustainable landfill sites can 
generate considerable volumes of methane gas (CH

4

), which can be exploited by landfill gas 

recovery installations to produce electricity. According to the EU waste management strategy 
separate collections will influence rates, yields and global amounts of landfill gas. The 
increasing of the SWM recycling rates will influence the waste management systems; waste 
composition streams; costs and emissions from waste treatment and disposal activities. 
However, a plethoric flow and use of resources characterise our society in an unsustainable way. 
Waste management is the discipline that is concerned with resources once society no longer 
requires them. A successful sustainable development requires a continuous change and 
harmonization to the life cycle of our society, bearing in mind its current-future necessities 
(Koliopoulos, 1999c). Therefore, the problem is transferred to the dilemma on how can we 
manage our waste better. 
 
In spite of the progress achieved in the recent years in waste management, there is an important 
parameter that has received little attention; this is the landfill response to seismic loading and its 
environmental impact assessment relating to the migration of landfill emissions. This paper 
assess the involved risk of different seismic impact zones and disposed waste compositions in 
Greece. It presents the involved risk of the expected landfill movements based on common used 
landfill design characteristics and the particular examining seismic accelerations. The resistance 
acceleration factor N and seismic accelerations are presented for the examining seismic impact 

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zones. Indicative, twelve Greek sites have been selected to be analysed so as to make useful 
conclusions.  
 
 
2. SEISMIC LOADING 
 
The usual limit equilibrium methods in geotechnical engineering, like the general wedge 
method or Bishop one, are commonly used for the stability of landfills (Oweis, 1993; NAVFAC 
DM-7.3, 1982). The waste may be treated as an engineering material and characterized by 
cohesion and friction. The DM-7 wedge method (NAVFAC DM-7.3, 1982) is used in this paper 
and it is illustrated in Figure 1 for a given slope of a landfill.  
 

 

 

 

 

 

Figure 1: Stability analysis with the wedge method. 

 
 
The definition of terms in figure 1 is given below. 
 
Pw is the resultant force due to pore water pressure on potential sliding surface,  
 
P

 is the resultant horizontal force for an active or central wedge along potential sliding surface 

•••••

,  

 

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P

 is the resultant horizontal force for a passive wedge along potential sliding surface EZH,  

 
W is the total weight of soil and water in wedge above potential sliding surface,  
 
R is the result of normal and tangential forces on potential sliding surface,  
 
c is the cohesion of layer along potential sliding surface,  
 

 is the friction angle of layer along potential sliding surface,  

 
L is the length of potential sliding surface across wedge,  
 
h

w

 is the depth below phreatic surface at wedge boundary  

 
and  
 

w

 is the unit weight of water. 

 
 
The effect of earthquake loading changes the value of P

 and P

 and their value is given by the 

following formula: 
 

    

              

 

        (1) 

WA

P

P

a

a

+

=

'

 

    

 

 

 

        (2) 

WA

P

P

=

β

β

'

 
where 
 
A is the seismic acceleration (in g's) 
W is the weight of the wedge associated 
 
Moreover, considering a square acceleration pulse of duration t, the acceleration and velocity 
diagrams of an assumed rigid block are presented in Figure 2 according to Nemark (Nemark, 
1965). At the bottom of the block NW is the force resisting motion.  W 
is the weight of the block and N is the resistance acceleration factor in g's.  
 
However, the net velocity diagram is shown as hatched zone in Figure 2. The area of the 
diagram is the displacement experienced by the rigid block. Hence, 
 

)

)(

2

/

(

o

t

t

V

u

=

 

or 

)

/

/

)(

2

/

(

Ag

V

Ng

V

V

u

=

 

or 
                                              

u

                                              (5) 

)

/

1

)(

2

/

(

2

A

N

gN

V

=

 
where, 
 
u is the displacement 
N is the resistance acceleration factor (in g's) required to produce a factor of safety of 1.0 
V is the maximum seismic velocity of the earthquake motion 
A is the seismic acceleration (in g's) 
 

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Figure 2: Acceleration and displacement relationships with Nemark method. 

 
 
Equation (5) is for a single pulse on a horizontal surface. When the ground motion reverses 
direction, the block will move in the opposite direction by the same amount if N and A are the 
same. If there is the block at a slope sliding surface, movements will be downhill and each time 
N is exceeded, the block will move farther (Nemark, 1965). 
 
 
3. RISK ANALYSIS IN GREECE 

 

Risk is a combination of the probability, or frequency, of occurrence of a defined hazard and the 
magnitude of the consequences of the occurrence. Hazard is a property or situation that in 
particular circumstances could lead to harm. Risk assessment is an analysis of the potential for 
adverse health effects (Koliopoulos, 2000).  
 
The seismological risk investigation of a site necessitates the evaluation of fault reactivation 
possibility and the parameters of the expected ground motion. The relative estimations are based 
on the particular local seismicity, geological conditions and historical data. However, the 
following should be taken into account in a tectonic, structural study: Image study for the 
localization of large-scale neotectonic structures; geological mapping of the broader area; 
tectonic-structural mapping; morphotectonic analysis; fault studies and geophysical prospecting 
for the localization of buried structures (Lekkas, E., 1999).  

 

In this paper, a risk analysis examines twelve characteristic Greek sites, presenting the relative 
seismic displacements and landfill emissions risk. An indicative examining landfill design 
situation is applied to the Greek case studies, as it is presented in figure 3. In table 1, are 
presented the four seismic impact zones, which exist in Greece and their relative seismic 
accelerations according to the Greek antiseismic regulations (GAR, 2000). Moreover, in table 1 
are presented the particular disposed putrescible (%) waste fractions for the examining case 
studies. The disposed putrescible (%) waste fraction is taken into account as representative 
biodegradation factor of each site and consequently as representative landfill emissions' risk 
factor.  
 

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The landfill design response analysis to seismic loading is presented below based on the given 

data of figure 3 and table 1.  

 

 

 

 For the refuse:  

φ = 30

o

γ = 50 pcf (80 kN/m

3

 For the clay:  c = 600 psf (28.7 kPa), 

γ = 110 pcf (17.6 kN/m

3

 b = 91 m, h = 1.8 m, landfill thickness H = 30 m  

 

Figure 3: Examining landfill design situation. 

 
 

Below is determined the resistance acceleration factor N for the landfill design situation 
described in figure 3, applying the DM-7 wedge method (NAVFAC DM-7.3, 1982). 
 
W

1

 = 65.45 tn 

W

= 14.5 tn 

W

3

 = 430 tn 

P

α1 

= 65.45 N + 41.85 

P

α2 

= 14.5 N + 10.9 

P

α3 

= 430 N - 90 

P

β1 

= 4.6 - N 

Σ

P

α

=

Σ

P

β

 => 510.95 N - 41.85 = 0 => N = 0.08 g 

 
However, the expected displacements of the four seismic impact zones are calculated based on 

the above and taking an indicative maximum seismic velocity 33 cm/s. Hence, for the seismic 

impact zones I, II, III, IV the expected movements are presented below applying equation 5. 

 
For the seismic impact zone I, for A = 0.12 g, it yields u = 2.7 cm. 
 
For the seismic impact zone II, for A = 0.16 g, it yields u = 4 cm. 
 
For the seismic impact zone III, for A = 0.24 g, it yields u = 5.4 cm. 
 
For the seismic impact zone IV, for A = 0.36 g, it yields u = 6.3 cm.

 

 

The calculated displacements of the examining case studies are presented in table 1. 

 
 
 

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Table 1. Seismic accelerations, disposed putrescible (%) waste fractions and displacements at 

characteristic Greek sites. 

 
 

Site/Parameter    Seismic      

  Impact        
  Zone  
Source: [2]

 

Seismic 

Acceleration  

 

Source: [2]  

  Disposed   
 Putrescible 
      (%) 
 Source: [3,14]

 

Displacements 

(cm) with 

seismic velocity 

33 cm/s

 

Athens  

        II 

      0.16 g 

      56 

Thessaloniki 

        II 

      0.16 g 

      52 

Patras 

       III 

      0.24 g 

      53.1 

5.4 

Iraklion 

       III 

      0.24 g 

      52.5 

5.4 

Larissa 

       III 

      0.24 g 

      52 

5.4 

Chania 

       III 

      0.24 g 

      55.2 

5.4 

Xanthi 

        II 

      0.16 g 

      61.2 

Komotini 

        II 

      0.16 g 

      67.1 

Rhodes 

       III 

      0.24 g 

      41.6 

5.4 

Kos 

       III 

      0.24 g 

      37.3 

5.4 

Naxos 

        I 

      0.12 g 

      48.3 

2.7 

Zakinthos 

       IV 

      0.36 g 

         - 

6.3 

 

 

In table 1, is not presented the disposed putrtescible (%) waste fraction of Zakinthos site, due to 

the fact that there was not any report to be referenced. Moreover, based on the above, in figure 4 

are presented the included seismic risk and landfill emissions' risk of the examining Greek sites.  

    

 

Figure 4: Risks of hazard for the examining Greek sites. 

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4. CONCLUDING REMARKS 

 

The wedge method applied for the landfill design response to seismic loading. A risk analysis 

was taken place for twelve Greek sites calculating the resistance acceleration factor N and 

estimating their expected displacements for a given maximum seismic velocity. High risk exists 

for the case studies where there is high putrescible-biodegradable disposed waste fraction and 

high site seismisity.  

 

The allowable seismic movement(s) in landfill design is not yet regulated and is a matter of 

engineering judgement. A limit of 15 cm has been used in practice to avoid tearing of 

geomembrane but actual limits must be site specific. Optimum safety conditions in public works 

of high environmental risk should be of first priority following the right antiseismic design. The 

right determination of material properties, slope stability analysis and ground motion evaluation 

are necessary for an effective earthquake-proof design. 

 

 

REFERENCES 

1.    Fleming, G. (1996), Hydrogeochemical Engineering in Landfills, Geotechnical  

Approaches to Environmental Engineering of Metals, Rudolf, R. (ed.), Springer,  

       183-212. 

2.   Greek Antiseismic Regulations (GAR) (2000), Fountas Publ., Athens. 

3.   Koliopoulos, T. (1997), Solid Waste Management in Greece, Policy and Treatment,   
      Master Thesis, University of Strathclyde, Glasgow, Scotland, UK. 
4.   Koliopoulos, T., Fleming, G. (1998), The Use of Waste Input Data to Predict Biogas  
      Emissions in the UK – Mid Auchencarroch and Craigmuschat landfill sites,  Proc. 14

th

  

      Int. Conference on Solid Waste Technology and Management, (Ed.   
      Zandi I., Mersky R.,  Shieh W.), Philadelphia, Pennsylvania, USA, 1A
5.  Koliopoulos, T., Fleming, G., Skordilis, A. (1999a). Variation of Landfill Gas  
      Production According to the Waste Composition, Proc. 6

th

 International Conference  

      on Environment Science & Technology, University of the Aegean, (Ed. Lekkas,T.),   
      Pythagorion, Samos, Greece, A, 298-306. 
6.   Koliopoulos, T., Fleming, G., Skordilis, A. (1999b). Evaluation of the Long Term  

Behaviour of Three Different Landfills in the UK and in Greece, Proc. Sardinia  
99, 7

th

 Int. Waste Management and Landfill Symposium, S.Margherita di Pula,  

Cagliari, Italy, (Ed. Christensen, T., Cossu, R., Stegmann, R.), Italy, vol. I, pp.19-26. 

7.   Koliopoulos, T. (1999c), Sustainable Solutions for the Most Pressing Problem within  

Solid Waste Management, International Solid Waste Association Times Journal,  
Copenhagen, Denmark, 3, 21-24. 

8.   Koliopoulos, T. (2000), Management and Risk Assessment of Mid Auchencarroch   

Landfill, Scotland, Young Researchers Conference, International Water Association, 
Environment Agency Headquarters, Trentside, Nottingham, UK. 

9.    Kollias, P. (1993), Solid Wastes. Athens, Greece. 

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10.  Lekkas, E.L. (1999), Landfill Response to Seismic Loading, Proc. 6

th

 International  

      Conference on Environment Science & Technology, University of the Aegean,   
      (Ed. Lekkas, T.), Pythagorion, Samos, Greece, A, 282-289.  

11. NAVFAC DM-7.3, (1982), Soil Dynamics, Deep Stabilization and Special Construction, 

Naval Facilities Engineering Command, Alexandria, Va., USA. 

12.  Nemark, N.M. (1965), Effects of Earthquakes on Dams and Embankments, 

        Geotechnique, 15(2). 

13.  Oweis, I.S. (1993), Stability of Landfills in Geotechnical Practice for Waste Disposal, (Ed. 

D.Daniel), Chapman and Hall, New York, USA. 

14.  Skordilis, A. (1993), Waste Disposal Technologies, The Sanitary Landfill   
     Method
, Athens, Greece. 
15.   Tchobanoglous, G., Theisen, H., Vigil, S. (1993). Integrated Solid Waste  

Management, McGraw-Hill Book Company, New York, USA. 

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