Liquefaction is an important seismic hazard that can cause extensive damage and high economic impact during earthquakes. Despite the extensive research, methodologies and approaches for managing liquefaction for pile-supported structures, failures of structures due to liquefaction have continued to occur to this day. The main aim of this paper is to develop a simplified methodology for reducing potential structural damage of structures founded in soils susceptible to liquefaction. In order to implement a successful remediation technique, the current methods for pile failure in liquefiable soils and remediation schemes of earthquake-induced liquefaction are critically reviewed and discussed. Cementation and lattice structure techniques for reducing liquefaction hazard are proposed, while numerical analysis for unimproved and stabilised soil profiles using the finite-element method is carried out to simulate the analysis of both stabilisation techniques. The results showed that both techniques are effective and economically viable for reduction or avoidance of potential structural damage caused by liquefied soil and can be used in isolation or in combination, depending on the ground profile and pile type.

cu

cohesion

D

pile diameter

DL

unsupported length

EI

bending stiffness of pile

Es

soil modulus

fc

compressive strength of unconfined concrete

fy

yield strength

G

shear modulus

Hc

critical pile length

K

column effective length of the pile

k

stiffness

Pdynamic

maximum axial compressive load

α

dynamic axial load factor

γ

effective unit weight

ϵc

concrete strain

σy

yield strength

υ

Poisson’s ratio

Φ

friction angle

Ø

times factor

Damaging effects in pile-supported structures due to liquefiable soils were extensively observed during and after earthquakes in the past (Bhattacharya, 2006; Bhattacharya et al., 2011; Lombardi and Bhattacharya, 2012; Tokimatsu and Asaka, 1998), which put the remediation of earthquake-induced liquefaction in the focus of geotechnical earthquake engineering practice. Liquefaction has been shown to occur when, during seismic vibration, the pore water pressure in the usually loosely deposited sandy soil layers increases rapidly and sufficiently, which may lead to a decrease in the effective stress in the soil to zero (Booth, 1994). Although through evaluation of the seismic risk and subsequent management the existing piled foundations usually achieve the desired level of safety, failures of structures due to liquefaction still occur. Therefore, there is an urgent need to understand better and clarify this complex phenomenon, as well as to identify how liquefaction affects piles.

During earthquakes, the response of pile-supported structures to liquefiable soils depends on the stiffness of the pile foundation, the response of the soil surrounding the pile and the soil–pile interaction effects (NEHRP, 2012). The interaction effects include the inertial loading exerted by the superstructure and the kinematic loading induced by the soil surrounding the pile (Figure 1).

Figure 1

Different stages of loading and failure mechanism of pile during earthquake (adapted from Bhattacharya (2014))

Figure 1

Different stages of loading and failure mechanism of pile during earthquake (adapted from Bhattacharya (2014))

Close modal

Before the earthquake, the axial load on the piles can be estimated based on static equilibrium. At the start of the seismic vibration and before the excess pore water pressure build-up, this axial compressive load may increase/decrease further due to the inertial effect of the superstructure (due to oscillation of superstructure) and the kinematic effects of the soil flow past the foundation (due to ground movement). This change in loading can be transient (during the vibration, due to the dynamic effects of the soil mass) and residual (after the vibration, due to soil flow, often known as ‘lateral spreading’ (Bhattacharya and Madabhushi, 2008)).

However, at this stage, with pore water pressure built up (at full liquefaction, the excess pore water pressures reach the overburden vertical effective stress), the soil loses its strength and stiffness and the pile acts as an unsupported column over the liquefied depth (Lombardi and Bhattacharya, 2014). Most of the efforts have been made to improve greatly the understanding of pile failure mechanism due to liquefaction. However, further research is required to develop insight into the effects of liquefaction triggering on the seismic response of structures and soil stiffness.

It is widely accepted that the impact of geotechnical hazards is the main contributor in the damage to structures during earthquakes (e.g. Kramer et al., 2014). The assessment of geotechnical hazards is, therefore, essential for quantification of the seismic safety and liquefaction mitigation of these structures. Various ground improvement techniques are used for remediation of piled foundations in liquefiable soils including densification, preferential drainage path provision, soil reinforcement, removal and replacement of the liquefiable soils with competent soils and so on (Mitchell, 2008; Rayamajhi et al., 2015). However, the behaviour of piled foundations stabilised with these techniques has rarely been modelled or quantified in the past, which has affected the acceptance of these techniques in geotechnical engineering practice and the overall seismic risk management (SRM) approach to piles in liquefiable soils.

The main aim of this study is to develop a novel approach for SRM by providing a methodology for reducing potential structural damage of pile-supported structures founded in soils susceptible to liquefaction. In order to investigate the feasibility of a successful remediation technique, the current methods for pile failure in liquefiable soils and remediation schemes of earthquake-induced liquefaction will be critically reviewed and discussed. Two viable methods to reduce the liquefaction hazard (cementation and lattice structure techniques) will be proposed and numerically simulated using the finite-element method (FEM) in order to establish areas for application of the proposed techniques and methodology.

In this study, the authors propose a methodology where the SRM for mitigating liquefaction is evaluated by comparing consistent measures of seismic loading that have caused pile failure and liquefaction resistance (Kramer, 2008). Therefore, both the current understanding of pile failure in liquefiable soils and the remediation schemes will have to be investigated and understood (Figure 2). Once these are critically reviewed, the SRM for mitigating the risks on pile-supported structures in liquefiable soils by using cementation and lattice structure improvement techniques will be proposed and demonstrated through numerical simulation. The numerical modelling using the FEM software Abaqus will be carried out to analyse both unimproved and stabilised soil profiles. The results of the analysis and simulation will be then used to focus on the behaviour of the improvement (stabilisation) techniques during earthquake as well as on their effects on the soil and structures. Additionally, the proposed methodology will examine and determine the ability and mitigation potential of the proposed techniques in the light of ground deformations for piles. Finally, the findings of the simulations and analyses will be used to perform SRM by developing a liquefaction remediation strategy.

Figure 2

Schematic illustration of the methodology

Figure 2

Schematic illustration of the methodology

Close modal

A number of research studies have been carried out in the past to predict the response of soil–foundation–structure systems in order to avoid collapse and decrease the damage levels (e.g. Bhattacharya and Goda, 2013; Bhattacharya et al., 2014; Dammala et al., 2017; Krishna et al., 2014). Liquefaction hazard evaluation is generally concerned with two different mechanisms of pile failure: failures due to bending (flexural) or buckling of the pile (Bhattacharya et al., 2004; Dash et al., 2010; Lombardi and Bhattacharya, 2014, 2016; Rostami et al., 2017). Bending failure (flexural failure) occurs when the soil surrounding the piles liquefies and loses much of its stiffness, causing the piles to act as unsupported slender columns, while buckling failure occurs when piles act as beam columns under both axial and lateral loading. Evaluating the potential for initiation of liquefaction (i.e. liquefaction potential) involves comparing the anticipated level of loading applied to the structure as a result of a seismic vibration at a particular site with the liquefaction resistance of the soil at the same site.

In practice, different design procedures have been used for the seismic design of pile-supported structures. The Japanese highway code of practice (JRA, 2002), for example, advises practising engineers to consider both the loading conditions mentioned previously. However, it suggests a separate bending failure (flexural failure) check for the effects of kinematic and inertial forces. Similarly, BS EN 1998-1 (Eurocode 8) (BSI, 2005a) advises pile design against bending due to inertial and kinematic forces arising from the deformation of the surrounding soil. In the event of liquefaction, Eurocode 8 also suggests that ‘the side resistance of soil layers that are susceptible to liquefaction or to substantial strength degradation shall be ignored’ (BSI, 2005a: p. 26). The National Earthquake Hazards Reduction Program (NEHRP, 2000), on the other hand, focuses on the bending strength of the piles by treating them as laterally loaded beams and assuming that the lateral load due to inertia and soil movement causes bending failure. Based on these guidelines, for this study, the pile is modelled as a beam-column element carrying both axial and seismic loads.

Piled foundations of existing buildings are often difficult to access for retrofitting, and, in addition, any procedure must ensure that the superstructure is not damaged during remediation (Mitrani and Madabhushi, 2013). Remediation of existing structures founded in liquefiable soils is usually carried out using methods such as installation of drains (Brennan and Madabhushi, 2002), stone columns (Asgari et al., 2013; Gniel and Bouazza, 2009; Lo et al., 2010; Tang et al., 2015) and densification (e.g. using deep dynamic compaction, vibro compaction and compaction piles) (Adalier et al., 2003; Baez, 1995; Coelho et al., 2007; Mitchell, 2008). Densification methods have been widely studied because these techniques are relatively simple and practical and the resulting remediation success can be easily verified by using in situ penetration techniques (Charlie et al., 1992; Elias et al., 2006; Mitchell and Solymar, 1984). For example, the effects of sand layers of varying density, thickness and extent of the behaviour of a bridge abutment have been investigated by Balakrishnan and Kutter (1999) and Kutter et al. (2004). However, Rayamajhi et al. (2014, 2015) reported that the densification and drainage techniques of improvement are often ineffective, while the soil–cement columns were relatively ineffective in reducing the potential for liquefaction triggering in saturated silty soils.

The cementation and lattice structure techniques (e.g. grouting injection, deep soil mixing) for soil improvement structures have been studied in the past (e.g. Funahara et al., 2012; Kitazume and Takahashi, 2010; Namikawa et al., 2007; Nguyen et al., 2012, 2013; Tokimatsu et al., 1996; Yamauchi et al., 2017) and were shown to stabilise liquefiable soils at reduced installation costs effectively.

In the present study, a numerical method was used to investigate the stabilising mechanisms of cementation and lattice structure techniques in liquefiable soils as an extension of the previous research conducted by authors (Rostami et al., 2017) and discussion on the verification of numerical modelling procedures was well explained in a previous paper. Three-dimensional (3D) non-linear dynamic analyses were performed for a piled foundation on a liquefiable soil layer in original (unimproved) and stabilised (cementation and lattice structure techniques) soil profiles. These analyses were carried out in Abaqus and included modelling of a single pile as a beam-column element carrying both axial and seismic loading, within a liquefiable soil which is stabilised using the two chosen techniques. The observed deformation of the pile affected by soil liquefaction was used to demonstrate the pile capacity and predict the thickness of the stabilised soil layer that would be affected in the seismic event. The results of these analyses provide the required thickness and the properties of the zone of liquefiable soils requiring treatment.

Figure 3(a) shows the extent of a 3D ground model comprising three soil layers. The liquefiable soil was modelled in between two layers of non-liquefiable soil (Figure 3(b)), and a reinforced-concrete pile with a fixed head was modelled to span the three soil layers with varying properties (thickness, type, articulation). Due to axial symmetry, only half of the pile and surrounding soil were modelled for the original and stabilised (a cement-injected layer in lieu of the liquefiable layer soil stratum) soil profile. Additionally, cases of pile without and with the cement-injected layer were modelled (Figure 4).

Figure 3

(a) The 3D numerical model; (b) details of the pile and model

Figure 3

(a) The 3D numerical model; (b) details of the pile and model

Close modal
Figure 4

(a) Details of the pile; (b) the flexible beam element along the pile; (c) pile with cement injected (stabilised) layer; (d) cross-sections of the piles

Figure 4

(a) Details of the pile; (b) the flexible beam element along the pile; (c) pile with cement injected (stabilised) layer; (d) cross-sections of the piles

Close modal

The different thicknesses of liquefiable soil profiles (1, 3 and 9 m) surrounding the pile were considered to be wide enough to identify the effectiveness of the free-field kinematic demand imposed on the soil system. The full model is shown in Figure 5, which was used for lattice structure technique evaluation.

Figure 5

Details of the lattice structure and model

Figure 5

Details of the lattice structure and model

Close modal

For the FEM to simulate the pile–soil interaction effectively, it was important to define appropriately the interaction between the pile and the soil near the solid-to-liquefied layer interface. To model the interaction between the soils and pile, the ‘surface-to-surface’ contact method (a.k.a. ‘master–slave’ surface) was used, where the more deformable and more rigid surfaces are defined as the ‘slave’ and ‘master’ surfaces, respectively (Dassault Systèmes Simulia, 2012).

The non-linear py curves of the liquefied soil used in the modelling of the soil–pile–structure interaction were based on the beam on elastic foundation approach (Hetényi, 1946). The py curves have been used to model the reaction of the foundation with consideration of inertial effects and seismic soil–pile interaction. In this study, the non-linear spring stiffness (py curves) of the liquefied soil is used to evaluate soil–pile interaction analysis and performed pile bending moments.

To evaluate the soil–pile interaction of the liquefied soil, analysis is normally performed in terms of shear forces and pile bending moments (McGann et al., 2012). However, the pile bending moments could not be directly obtained from the Abaqus output as the pile was modelled as a solid element. This restriction was overcome by adding a very flexible beam element along the pile (Banerjee and Shirole, 2014).

The dynamic load model requires boundary conditions that offer support to the elements while restricting unnecessary motions (Dassault Systèmes Simulia, 2012). For dynamic cases, the ability of the infinite elements to transmit energy out of the FE mesh, without trapping or reflecting it, is optimised by making the boundary (same material for each layer without damping) between meshes as close as possible to orthogonal in the direction from which the waves will impinge on the boundary (i.e. close to a free surface, where Rayleigh or Love waves may be significant; Figure 6) (Dassault Systèmes Simulia, 2012).

Figure 6

The infinite elements for transmitting energy out of the FE mesh

Figure 6

The infinite elements for transmitting energy out of the FE mesh

Close modal

During earthquakes, the excess pore water pressure in loose, saturated soils increases, thus reducing the effective stress in the layer and, subsequently, significantly decreasing the shear strength. As a result of the pore water pressure build-up, the compressibility of the layer cannot change drastically (McGann et al., 2012) so the soil bulk modulus, Ƙ, is assumed to remain constant throughout the soil mass and the Poisson’s ratio of liquefiable soils is assumed as υ = 0·485 (McGann et al., 2012). Additionally, the Mohr–Coulomb failure criterion is used to simulate the soils behaviour (Helwany, 2007), while the hypoelastic model in Abaqus was used to simulate non-linearity below the yield envelope (Banerjee and Shirole, 2014).

The seismic loading was applied at bedrock level (assumed below the three soil layers) in the horizontal direction in the form of an acceleration time history. The input motion of harmonic excitation consisted of waves of unit amplitude and different frequencies for the first 8 s of the El Centro earthquake record scaled to 0·30g and used as the base input acceleration (Figure 7(a)). However, the input motion was applied at 0·15g due to the larger values of initial effective stress at the lower layers (Rahmani and Pak, 2012). The axial load of 1100 kN (Figure 7(b)) was applied throughout the seismic loading to simulate the increasing axial load due to equilibrium satisfied within the soil layers.

Figure 7

Seismic loading for this study: (a) acceleration record of the El Centro (1940) earthquake; (b) increase in axial load

Figure 7

Seismic loading for this study: (a) acceleration record of the El Centro (1940) earthquake; (b) increase in axial load

Close modal

The piles in this study include one deep foundation reinforced-concrete pile (Figure 4) modelled using beam-column elements as elastic materials, reflecting a typical precast pile used in construction (0·16 m2 section, lengths of 9 and 12 m).

In this study, a 3D model of a lattice structure surrounding the pile (Figure 5) is used as a representative of lattice structure used to remediate against the potential effects of earthquake-induced liquefaction phenomenon (Nguyen et al., 2013). The lattice structure walls were modelled as a shear box, which can provide additional shear stiffness and strength for sites to withstand liquefaction (Nguyen et al., 2013).

The properties of piles, raft, cement injection and lattice structure are given in Table 1.

Table 1

Properties of piles, raft, cement injection and lattice structure models

Item descriptionPoisson’s ratioModulus of elasticity: × 106 kN/m2Unit weight: kN/m3σy: MPafc: kPaϵc
9 m pile0·153024·0186044 8160·03
12 pile0·153024·0186044 8160·03
Steel material0·3020078·5   
Cement injection layer0·351·515   
Lattice structure0·351·515   

fc, compressive strength; ϵc, concrete strain; σy, yield strength

Three typical soils were modelled in three dimensions, surrounding the pile, varying the thicknesses of liquefiable layer between the two non-liquefied layers and material properties to explore the effects of liquefaction on the pile. Appropriate values for the soil parameters were chosen from previous case histories (Sarkar et al., 2014) to ensure valid results. The soil parameters selected for the FE model are summarised in Table 2.

Table 2

Soil parameters

LayerBasic descriptionγ: kN/m3Cohesion, cu: kPaFriction angle, Φ: °υShear modulus G: kPaK: kPa
 ISoft silty clay19·140·00·350926027 777·8
 IISoft clayey silt18·223·00·350926027 777·8
Liquefiable zoneIIILoose sandy silt18·028·00·48582427 777·8
IVMedium dense silty sand19·030·00·48582427 777·8
VStiff clayey silt18·449·00·48582427 777·8
 VIMedium dense silty sand19·032·00·350926027 777·8

In order to implement a successful remediation technique for the SRM of pile-supported structures in liquefiable soils, a parametric study has been carried out on three different soil profiles, varying the thickness of liquefiable soil. To obtain results, 12 soil profiles for each of three different thicknesses of liquefiable soil profiles (1, 3 and 9 m) and the unimproved and stabilised soil for both cementation and lattice structure techniques were modelled.

As expected, the effect of the remediation technique was dependent on the respective material properties, thickness of cement layer, input wave and the surrounding soil. The behaviour at each incremental point along the pile length was calculated and plotted. An example of deformed shape of the systems and the interaction between the soil and the pile are shown in Figure 8.

Figure 8

(a) Deformed shape of model of unimproved soil with 3 m thickness of liquefiable soil; (b) pile deformation

Figure 8

(a) Deformed shape of model of unimproved soil with 3 m thickness of liquefiable soil; (b) pile deformation

Close modal

From the deformed shape of the system, it can be observed that the imposed displacement profile triggers bending in the pile. It also shows that the non-liquefiable layers of soil begin to displace laterally with respect to the liquefiable layer. However, the pile provides resistance to this motion as the upper portion is pushed along with the flow of soil. This behaviour is illustrated in the lateral stress distribution curve (Figure 9) which is shown alongside the maximum bending moment.

Figure 9

The bending moment without cement injection and with cement injection: (a) 1 m, (b) 3 m and (c) 9 m thicknesses of liquefiable soil

Figure 9

The bending moment without cement injection and with cement injection: (a) 1 m, (b) 3 m and (c) 9 m thicknesses of liquefiable soil

Close modal

Figure 9 illustrates the maximum bending moment developing along the length of piles embedded in soil layers without and with cement injection layer. It can be seen that the imposed displacement induces bending in the pile. It can also be observed that that the volume of soil improvement could be reduced by 90% for 1·0 m of liquefiable layer thickness and 70% for 3 m thickness of liquefiable soil. However, the 9 m thick liquefiable soil layer can provide 30% resistance to liquefaction and this stability is not satisfied. It can be explained through the interaction of different factors, that decreasing density and stability. The large thickness of liquefiable soil in touch with pile and the lateral stress distribution of the nature of ground motions and containing pore pressure generation put the pile at the maximum of bending and increasing shear stress. It is found that for the range of parameters used in this study, the bending moment reduction using cement injection across one-third of liquefiable soil thickness may be sufficient to prevent liquefaction (Figure 9(b)), and this solution could be considered for thin liquefiable layers with a thickness of less than one-third of pile length.

Therefore, it would be prudent for this method to be used as a secondary rather than primary mechanism for ground improvement in liquefiable soil with liquefiable layers with thickness of more than one-third of pile length, although cement injection may help to prevent liquefaction triggering in stabilised thin liquefiable soil.

Figure 10 shows the bending moment reduction achieved by using lattice structure. Based on the numerical analyses, a new simplified design method was proposed, which better quantifies the level of bending moment reduction in the improved soil. It can be seen that in the improved case, the bending moment is reduced due to dilation of the lattice structure, such that the decrease in lateral soil movement. The results in Figures 10(a)–10(c)) show that the lattice structure mechanism could be sufficient for prevention of liquefaction triggering and ground improvement in liquefiable soil. As illustrated in Figure 10(a), this could be improved by 90% for 3 m. However, for thicker liquefiable soil layers, the lattice walls would tend to be more flexible and may offer improvements of as little as 50% (Figure 10(b)). In such conditions, it may be better to consider lattice in conjunction with cement injection for ground improvement in liquefiable soil by 70% (Figure 10(c)). An example of the deformed shape of a lattice structure used for remediation of liquefiable soil is illustrated in Figures 11(a) and 11(b) sequentially. Figure 11(a) shows that the dynamic amplitude leads to a change in effective stress of the soil and increasing shear stress with time. It can also be observed that a shear wall can stabilise the effective stress path and provide some additional stiffness of the soil under these conditions.

Figure 10

The bending moment with and without lattice structure: (a) 3 m thickness; (b) 9 m thickness; (c) 9 m thickness with both cement injection and lattice structure

Figure 10

The bending moment with and without lattice structure: (a) 3 m thickness; (b) 9 m thickness; (c) 9 m thickness with both cement injection and lattice structure

Close modal
Figure 11

(a) The deformed shape around the shear wall; (b) deformed shape of model 9 m thickness of liquefiable layer with lattice structure

Figure 11

(a) The deformed shape around the shear wall; (b) deformed shape of model 9 m thickness of liquefiable layer with lattice structure

Close modal

Figure 12 shows the excess pore water pressure generated near a pile at 5 m below the soil surface for the case of 1 m cement injection improvement and 3 and 9 m of lattice structure model during and after earthquakes, respectively. It can be seen that lower levels of the excess pore water pressure (blue colour) were generated in the stabilised soils. As illustrated (Figure 12), limiting the excess pore pressure for all cases and the ground improvement can prevent and protect the pile against liquefaction. However, the case of 9 m thick liquefiable soil shows that the excess pore pressure decreases slightly. This excess pore pressure behaviour can be understood by hydraulic gradients that drive pore water flow both during and after earthquake shaking (Kramer, 2008). In this case, the flow might migrate upwards, even under the structure, thereby decreasing the density and consequently improving the liquefiable soil layer by densification.

Figure 12

Excess pore water pressure generated near pile: (a) for 1 m cemented soil; (b) for 3 m lattice structure; (c) for 9 m lattice structure

Figure 12

Excess pore water pressure generated near pile: (a) for 1 m cemented soil; (b) for 3 m lattice structure; (c) for 9 m lattice structure

Close modal

The FEM showed that the volume of soil activated during liquefaction dictates the deformations of the structure, which in turn can be controlled by the type and magnitude of stabilisation measures. Based on this, the authors propose the following framework for characterisation of seismic loading and resistance to liquefaction (Figures 13 and 14).

Figure 13

Seismic requalification methodology of a pile-supported structure. D, the diameter of pile; DL, unsupported pile length; HC, critical pile length in touch with liquefiable soil

Figure 13

Seismic requalification methodology of a pile-supported structure. D, the diameter of pile; DL, unsupported pile length; HC, critical pile length in touch with liquefiable soil

Close modal

The first step in a liquefaction assessment is to identify whether or not the soils are susceptible to liquefaction. The estimate of input ground motion at a site is a critical parameter in the characterisation of earthquake loading in conventional liquefaction potential analyses and can be obtained using the regional ground motion prediction equation (Goda and Atkinson, 2009, 2010; Goda and Hong, 2008). The liquefaction susceptibility can be preliminarily screened by using historical, geological, hydrological and compositional criteria (e.g. Kramer, 2008; Seed et al., 2003; Youd and Perkins, 1987), and the liquefaction potential can be defined using established methods (e.g. Idriss and Boulanger, 2008; Seed and Idriss, 1971, 1983, 1985).

The next step is to define local site conditions, including stratification, the engineering and material properties of different soil layers, possible groundwater conditions, the thickness and location of liquefiable soil and the length of pile in touch with the liquefied soil zone. In situ geotechnical tests, namely the cone penetration test and standard penetration test, are the empirical methods for evaluating liquefaction (Boulanger and Idriss, 2014; Cetin et al., 2002, 2004; Goda et al., 2011; Juang et al., 2005; Moss et al., 2006; Seed, 1979; Seed and Idriss, 1971, 1982; Seed et al., 1977, 1983; Stark and Olson, 1995). Laboratory testing of ‘undisturbed samples’, typically simple shear, triaxial or torsional cyclic tests, can be also used to derive the soil material properties (e.g. Boulanger and Idriss, 2005; Bray and Sancio, 2006; Seed et al., 2003). Some engineering properties in terms of seismic hazards can be derived from the national annexes of the relevant Eurocodes. For example, Eurocode 8 part 5 (BSI, 2005b) shows two separate empirical approaches for clean sand and silty sand which show liquefaction potential.

After the soil materials have been identified and characterised, the site-specific ground response needs to be determined, the liquefaction hazard to be analysed and the as built details of structure and the response of infrastructure to be modelled in order to obtain the seismic effects for a particular site and structure (BSI, 2005a; Ghosh and Bhattacharya, 2008; Govindaraju and Bhattacharya, 2012).

The next step is to estimate the laterally unsupported length of the pile DL in the seismic event. This is based on the depth of liquefaction potential evaluation of a soil column and often can be obtained by using simplified stress-based methods (Greenfield, 2017; Idriss and Boulanger, 2008; Khoshnevisan et al., 2015; Kramer, 1996; Seed and Idriss, 1971; Youd et al., 2001). Indeed, DL can be determined by using the thickness of liquefied soil layers plus some additional length necessary for fixity at the bottom of the liquefied soils (Bhattacharya and Goda, 2013). In this study, the criterion for determining the unsupported length (DL) based on liquefied soil profile (the base case is set to a limiting thickness of non-liquefied soil layers for lateral support of a pile) equal to 6·5D was considered.

The critical pile length resisting buckling failure, Hc, is a function of pile characteristics and pile head loading (Bhattacharya and Goda, 2013) which a pile can sustain without collapse due to combined axial and lateral loading. The critical pile length depends on the type and dimension of superstructure (bridge or building), bending stiffness, axial load acting on the pile, dynamic characteristics of superstructure and boundary conditions of the pile at the top and bottom of the liquefiable layer. Hc can be estimated using an established method (Bhattacharya and Goda, 2013)

1

where EI is the bending stiffness of the pile, K is the column effective length factor Ø < 1; it is noted that, in reality, this factor depends on the axial load, imperfection of piles and residual stress in the pile due to driving. An estimate of the maximum axial compressive load acting on a pile can be given by

2

where α is termed as the dynamic axial load factor and is a function of type of superstructure, height of the centre of mass of the superstructure and characteristics of the earthquake shaking (e.g. frequency content and amplitude).

In this study, the values of input parameters are set to 0·35, and 1·0 for Ø and K, respectively.

In this step, the critical pile length (Hc) that is in touch with liquefiable soil should be assessed in order to identify the appropriate method to retrofit the foundations to resist seismic loading. If HcDL, most of the pile length will be in touch with liquefiable soil, the pile would be at risk of failure due to buckling and, thus, would require retrofitting.

Figure 14

Concept of critical length of the pile and unsupported length of the pile (adapted from Bhattacharya and Goda (2013))

Figure 14

Concept of critical length of the pile and unsupported length of the pile (adapted from Bhattacharya and Goda (2013))

Close modal

This step presents an appropriate method for pile-supported structures by using cementation of the soil surrounding the pile within the liquefiable zone. The cement injection technique (see the section headed ‘Cement injection improvement’) in stabilised soil may be sufficient to prevent triggering of liquefaction where the pile length in touch with the liquefiable soil is within 6·5D of the total pile length. The microjet grouting method can be used for the cementation. This method is characterised by its ability to produce soil improvement structures with arbitrary shapes and large diameter including walls, fans and lattices (Burke, 2004; Malinin et al., 2010; Stark et al., 2009; Stoel, 2001; Yamauchi et al., 2017). This construction method can be used near boundaries of existing structures, and the total construction cost, including economic damage, of grouting can be lower than the construction cost of conventional methods (Saurer et al., 2011; Stoel, 2001; Yamauchi et al., 2017; Yoshida, 2010).

In this step, the critical pile length (Hc) that is in touch with liquefiable soil (estimated in step 6) should be compared with the length of the pile to identify an appropriate method to retrofit the foundations to resist seismic loading. Therefore, for Hc < DL ≥ 6·5D, cement injection alone cannot be used for stabilisation.

According to the analysis of the lattice structure mechanism (see the section headed ‘Lattice improvement’), it can be seen that this mechanism is sufficient to prevent liquefaction triggering and ground improvement in liquefiable soil when cementation is not enough (i.e. when DL ≥ 6·5D). However, if the thickness of liquefied soil layer(s) is higher than the total pile length, it would be recommended to use both techniques.

A systematic evaluation has been carried out to develop this methodology on the basis of understanding of the potential for initiation of liquefaction, the mechanics of the liquefaction process, various aspects of pile failure and the feasibility of a successful remediation technique. Numerical analyses have developed the effects of liquefaction triggering on seismic response of structures and soil stiffness, and the results of analysis illustrated a robust framework for mitigation of pile foundations by using recent design earthquakes. This framework uses 3D non-linear and effective analysis with few key parameters and presents more simple, effective and economically viable techniques than conventional frameworks.

The seismic risk of liquefaction was evaluated by comparing relevant mitigating measures against pile failure in liquefied soil. Numerical analyses of unimproved and stabilised soil models with cement injection and lattice structure techniques were performed to investigate their effects in liquefiable soil when subject to seismic loading. A reinforced-concrete pile constructed in a stratified soil system and carrying both axial and seismic earthquake loading was analysed for both cementation and lattice structure retrofit within the liquefiable soil zone. It was found that for the range of parameters used in this study, the bending moment reduction using cement injection in the liquefiable soil may be sufficient to prevent liquefaction triggering for thicknesses of up to one-third (6·5D) of the length of the pile in touch with the liquefiable soil. For conditions other than these, it is recommended that the cement injection mechanism should be considered as a secondary rather than primary mechanism for ground improvement in liquefiable soil. The lattice structure technique, on the other hand, was found to reduce pore pressure effectively, even in the high thickness of liquefiable soil. This improvement was most likely achieved by wall failure being prevented and through lateral soil movements being restrained. However, in the higher thickness of liquefiable soil, the walls were flexible and so may improve by just 50%. These were most likely due to lateral movements or densification of the sand beneath the shear wall. Thus, it is recommended that in these conditions it may be better to consider a combination of both techniques for ground improvement. Overall, it was found that both techniques are effective and economically viable to reduce or avoid potential structural damage caused by liquefied soil.

Adalier
K
,
Elgamal
A
,
Meneses
J
,
Baez
JI
2003
Stone columns as liquefaction counter-measure in non-plastic silty soils
Soil Dynamics and Earthquake Engineering
23
7
571
 -
584
Asgari
A
,
Oliaei
M
,
Bagheri
M
2013
Numerical simulation of improvement of a liquefiable soil layer using stone column and pile-pinning techniques
Soil Dynamics and Earthquake Engineering
51
77
 -
96
Baez
JI
1995
A Design Model for the Reduction of Soil Liquefaction by Using Vibro-stone Columns. PhD thesis
University of Southern California
Los Angeles, CA, USA
Balakrishnan
A
,
Kutter
BL
1999
Settlement, sliding and liquefaction remediation of layered soil
Journal of Geotechnical and Geoenvironmental Engineering
125
11
968
 -
978
Banerjee
S
,
Shirole
O
2014
Numerical analysis of piles under cyclic lateral load
Indian Geotechnical Journal
44
4
436
 -
448
Bhattacharya
S
2006
Safety assessment of existing piled foundations in liquefiable soils against buckling instability
ISET Journal of Earthquake Technology
43
4
133
 -
147
Bhattacharya
S
2014
Safety assessment of piled buildings in liquefiable soils: mathematical tools
Encyclopedia of Earthquake Engineering
Beer
M
,
Kougioumtzoglou
IA
,
Patelli
E
,
Au
ISK
Springer
Berlin, Germany
Bhattacharya
S
,
Goda
K
2013
Probabilistic buckling analysis of axially loaded piles in liquefiable soils
Soil Dynamics and Earthquake Engineering
45
13
 -
24
Bhattacharya
S
,
Madabhushi
SPG
2008
A critical review of methods for pile design in seismically liquefiable soils
Bulletin of Earthquake Engineering
6
3
407
 -
446
Bhattacharya
S
,
Madabhushi
SPG
,
Bolton
MD
2004
An alternative mechanism of pile failure in liquefiable deposits during earthquakes
Géotechnique
54
3
203
 -
213
Bhattacharya
S
,
Hyodo
M
,
Goda
K
,
Tazoh
T
,
Taylor
C
2011
Liquefaction of soil in the Tokyo Bay area from the 2011 Tohoku (Japan) earthquake
Soil Dynamics and Earthquake Engineering
31
11
1618
 -
1628
Bhattacharya
S
,
Tokimatsu
K
,
Goda
K
, et al
2014
Collapse of Showa Bridge during 1964 Niigata earthquake: a quantitative reappraisal on the failure mechanisms
Soil Dynamics and Earthquake Engineering
65
55
 -
71
Booth
E
1994
Concrete Structures in Earthquake Regions
(1)
Longman Scientific
Harlow, UK
Boulanger
RW
,
Idriss
IM
2005
Evaluating cyclic failure in silts and clays
Proceedings, Geotechnical Earthquake Engineering Satellite Conference on Performance Based Design in Earthquake Geotechnical Engineering: Concepts and Research
Tokyo, Japan
78
 -
86
Boulanger
RW
,
Idriss
IM
2014
CPT and SPT Based Liquefaction Triggering Procedures
Center for Geotechnical Modeling, University of California at Davis
Davis, CA, USA
Report No. UCD/CGM-14/0
Bray
JD
,
Sancio
RB
2006
Assessment of the liquefaction susceptibility of fine-grained soils
Journal of Geotechnical and Geoenvironmental Engineering
132
9
1165
 -
1177
Brennan
AJ
,
Madabhushi
SPG
2002
Effectiveness of vertical drains in mitigation of liquefaction
Soil Dynamics and Earthquake Engineering
22
9–12
1059
 -
1065
BSI
2005a
BS EN 1998-1:2004+A1:2013: Eurocode 8: Design of structures for earthquake resistance. General rules, seismic actions and rules for buildings
BSI
London, UK
BSI
2005b
BS EN 1998-5:2004: Eurocode 8: Design of structures for earthquake resistance. Foundations, retaining structures and geotechnical aspects
BSI
London, UK
Burke
G
2004
Jet grouting systems: advantages and disadvantages
GeoSupport 2004: Innovation and Cooperation in the Geo-industry, Conference Proceedings
Orlando, FL, USA
January
875
 -
886
Cetin
KO
,
Der Kiureghian
A
,
Seed
RB
2002
Probabilistic models for the initiation of soil liquefaction
Structural Safety
24
67
 -
82
Cetin
KO
,
Seed
RB
,
Der Kiureghian
A
, et al
2004
Standard penetration test-based probabilistic and deterministic assessment of seismic soil liquefaction potential
Journal of Geotechnical and Geoenvironmental Engineering
130
12
1314
 -
1340
Charlie
WA
,
Rwebyogo
MFJ
,
Doehring
DO
1992
Time-dependent cone penetration resistance due to blasting
Journal of Geotechnical Engineering
118
8
1200
 -
1215
Coelho
PALF
,
Haigh
SK
,
Madabhushi
SPG
,
O’Brien
TS
2007
Post-earthquake behaviour of footings employing densification to mitigate liquefaction
Ground Improvement
11
1
45
 -
53
Dammala
PK
,
Bhattacharya
S
,
Krishna
AM
,
Kumar
SS
,
Dasgupta
K
2017
Scenario based seismic re-qualification of caisson supported major bridges – a case study of Saraighat Bridge
Soil Dynamics and Earthquake Engineering
100
270
 -
275
Dash
S
,
Bhattacharya
S
,
Blakeborough
A
2010
Bending buckling interaction as a failure mechanism of piles in liquefiable soils
Soil Dynamics and Earthquake Engineering
30
32
 -
39
Dassault Systèmes Simulia
2012
Abaqus User’s Manual – Standard Version 6.12
Dassault Systèmes Simulia
Johnston, RI, USA
Elias
V
,
Welsh
J
,
Wareen
J
, et al
2006
Ground Improvement Methods: Reference Manual – Volume I
Federal Highway Administration, US Department of Transportation
Washington, DC, USA
NHI Course No. 13204
Funahara
H
,
Shibata
K
,
Nagao
T
,
Kobayashi
H
2012
Centrifuge tests on liquefaction suppression effect of overburden pressure from shallow foundations
Proceedings of the 9th International Conference on Urban Earthquake Engineering and 4th Asia Conference on Earthquake Engineering, Tokyo Institute of Technology
Tokyo, Japan
6–8 March
581
 -
585
Ghosh
B
,
Bhattacharya
S
2008
Selection of appropriate input motion for foundation design in seismic areas
Proceedings of the 14th World Conference on Earthquake Engineering
12–17 October
Beijing, China
Gniel
J
,
Bouazza
A
2009
Improvement of soft soils using geogrid encased stone columns
Geotextiles and Geomembranes
27
3
167
 -
175
Goda
K
,
Atkinson
GM
2009
Probabilistic characterization of spatially correlated response spectra for earthquakes in Japan
Bulletin of the Seismological Society of America
99
5
3003
 -
3020
Goda
K
,
Atkinson
GM
2010
Intra-event spatial correlation of ground-motion parameters using SK-net data
Bulletin of the Seismological Society of America
100
6
3055
 -
3067
Goda
K
,
Hong
HP
2008
Spatial correlation of peak ground motions and response spectra
Bulletin of the Seismological Society of America
98
1
354
 -
365
Goda
K
,
Atkinson
GM
,
Hunter
JA
,
Crow
C
,
Motazedian
D
2011
Probabilistic liquefaction hazard analysis for four Canadian cities
Bulletin of the Seismological Society of America
101
1
190
 -
201
Govindaraju
L
,
Bhattacharya
S
2012
Site-specific earthquake response study for hazard assessment in Kolkata city (India)
Natural Hazards
61
3
943
 -
965
Greenfield
MW
2017
Effects of Long-Duration Motions on Liquefaction Hazards. PhD thesis
University of Washington
Seattle, WA, USA
Helwany
S
2007
Applied Soil Mechanics with ABAQUS Applications
Wiley
Toronto, ON, Canada
Hetényi
M
1946
Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering
University of Michigan Press
Ann Arbor, MI, USA
Idriss
IM
,
Boulanger
RW
2008
Soil Liquefaction during Earthquakes
Earthquake Engineering Research Institute
Oakland, CA, USA
EERI Monograph 12
JRA (Japanese Road Association)
2002
Specification for Highway Bridges, Part V, Seismic Design
JRA
Tokyo, Japan
Juang
CH
,
Yang
SH
,
Yuan
H
2005
Model uncertainty of shear wave velocity-based method for liquefaction potential evaluation
Journal of Geotechnical and Geoenvironmental Engineering
131
10
1274
 -
1282
Khoshnevisan
S
,
Juang
H
,
Zhou
Y
,
Gong
W
2015
Probabilistic assessment of liquefaction-induced lateral spreads using CPT – Focusing on the 2010–2011 Canterbury earthquake sequence
Engineering Geology
192
113
 -
128
Kitazume
M
,
Takahashi
H
2010
Centrifuge model tests on effect of deep mixing wall spacing on liquefaction mitigation
Proceedings of the 7th International Conference on Urban Earthquake Engineering & 5th International Conference on Earthquake Engineering, Tokyo Institute of Technology
Tokyo, Japan
473
 -
478
Kramer
SL
1996
Geotechnical Earthquake Engineering
Prentice Hall
Upper Saddle River, NJ, USA
Kramer
SL
2008
Evaluation of Liquefaction Hazards in Washington State
Washington State Department of Transportation
Olympia, WA, USA
WSDOT Research Report WA-RD 668.1
Kramer
SL
,
Valdez
C
,
Blanchette
B
,
Baker
JW
2014
Performance-based Design Factors for Pile Foundations
Washington State Department of Transportation
Olympia, WA, USA
WSDOT Research Report WA-RD 827.1
Krishna
AM
,
Bhattacharya
S
,
Choudhury
D
2014
Seismic requalification of geotechnical structures
Indian Geotechnical Journal
44
2
113
 -
118
Kutter
BL
,
Gajan
S
,
Manda
KK
,
Balakrishnan
A
2004
Effects of layer thickness and density on settlement and lateral spreading
Journal of Geotechnical and Geoenvironmental Engineering
130
6
603
 -
614
Lo
SR
,
Zhang
R
,
Mak
J
2010
Geosynthetic-encased stone columns in soft clay: a numerical study
Geotextiles and Geomembranes
28
3
292
 -
302
Lombardi
D
,
Bhattacharya
S
2012
Liquefaction of soil in the Emilia-Romagna region after the 2012, Northern Italy earthquake sequence
Natural Hazards
73
3
1749
 -
1770
Lombardi
D
,
Bhattacharya
S
2014
Modal analysis of pile-supported structures during seismic liquefaction
Earthquake Engineering & Structural Dynamics
43
1
119
 -
138
Lombardi
D
,
Bhattacharya
S
2016
Evaluation of seismic performance of pile-supported models in liquefiable soils
Engineering & Structural Dynamics
45
6
1019
 -
1038
Malinin
A
,
Gladkov
I
,
Malinin
D
2010
Experimental research of jet-grouting parameters in different soil conditions
Deep Foundations and Excavation
Tonon
F
,
Liu
X
,
Wu
W
American Society of Civil Engineers
Reston, VA, USA
49
 -
54
McGann
CR
,
Arduino
P
,
Helnwein
PM
2012
Development of Simplified Analysis Procedure for Piles in Laterally Spreading Layered Soils
Pacific Earthquake Engineering Research Center
Richmond, CA, USA
PEER Report 2012/05
Mitchell
JK
,
Solymar
ZV
1984
Time-dependent strength gain in freshly deposited or densified sand
Journal of Geotechnical Engineering
110
11
1559
 -
1576
Mitchell
JK
2008
Mitigation of liquefaction potential of silty sands
From Research to Practice in Geotechnical Engineering
Laier
JE
,
Crapps
DK
,
Hussein
MH
American Society of Civil Engineers
Reston, VA, USA
433
 -
451
Mitrani
H
,
Madabhushi
SPG
2013
Geomembrane containment walls for liquefaction remediation
Proceedings of the Institution of Civil Engineers – Ground Improvement
166
1
9
 -
20
Moss
RES
,
Seed
RB
,
Kayen
RE
, et al
2006
CPT-based probabilistic and deterministic assessment of in situ seismic soil liquefaction potential
Journal of Geotechnical and Geoenvironmental Engineering
132
8
1032
 -
1051
Namikawa
T
,
Koseki
J
,
Suzuki
Y
2007
Finite element analysis of lattice-shaped ground improvement by cement mixing for liquefaction mitigation
Soils and Foundation
47
3
559
 -
576
NEHRP (National Earthquake Hazards Reduction Program)
2000
Commentary (Federal Emergency Management Agency, USA, 369) for Seismic Regulations for New Buildings and Other Structures
Building Seismic Safety Council
Washington, DC, USA
NEHRP
2012
Soil–Structure Interaction for Building Structures
National Institute of Standards and Technology
Gaithersburg, MD, USA
NIST GCR 12-917-21
Nguyen
TV
,
Rayamajhi
D
,
Boulanger
RW
, et al
2012
Effect of DSM grids on shear stress distribution in liquefiable soil
GeoCongress 2012: State of the Art and Practice in Geotechnical Engineering
Hryciw
RD
,
Athanasopoulos-Zekkos
A
,
Yesiller
N
American Society of Civil Engineers
Reston, VA, USA
1948
 -
1957
Nguyen
TV
,
Rayamajhi
D
,
Boulanger
RW
, et al
2013
Design of DSM grids for liquefaction remediation
Journal of Geotechnical and Geoenvironmental Engineering
139
11
1923
 -
1933
Rahmani
A
,
Pak
A
2012
Dynamic behaviour of pile foundations under cyclic loading in liquefiable soils
Computers and Geotechnics
40
114
 -
126
Rayamajhi
D
,
Nguyen
TV
,
Ashford
SA
, et al
2014
Numerical study of shear stress distribution for discrete columns in liquefiable soils
Journal of Geotechnical and Geoenvironmental Engineering
140
3
04013034
Rayamajhi
D
,
Tamura
S
,
Khosravi
M
, et al
2015
Dynamic centrifuge tests to evaluate reinforcing mechanisms of soil-cement columns in liquefiable sand
Journal of Geotechnical and Geoenvironmental Engineering
141
6
04015015
Rostami
R
,
Bhattacharya
S
,
Hytiris
N
,
Giblin
M
2017
Seismic analysis of pile in liquefiable soil and plastic hinge
Geotechnical Research
4
4
203
 -
213
Sarkar
R
,
Bhattacharya
S
,
Maheshwari
BK
2014
Seismic requalification of pile foundations in liquefiable soils
Indian Geotechnical Journal
44
2
183
 -
195
Saurer
E
,
Marcher
T
,
Lesnik
M
2011
Grid space optimization of jet grouting columns
Proceedings of the 15th European Conference on Soil Mechanics and Geotechnical Engineering
Anagnostopoulos
A
,
Pachakis
M
,
Tsatsanifos
C
IOS Press
Amsterdam, the Netherlands
2
1055
 -
1060
Seed
HB
1979
Soil liquefaction and cyclic mobility evaluation for level ground during earthquakes
Journal of Geotechnical Engineering
105
2
201
 -
255
Seed
HB
,
Idriss
IM
1971
Simplified procedure for evaluating soil liquefaction potential
Journal of the Soil Mechanics and Foundations Division
107
SM9
1249
 -
1274
Seed
HB
,
Idris
IM
1982
Ground Motions and Soil Liquefaction during Earthquakes
Earthquake Engineering Research Institute
Oakland, CA, USA
Seed
HB
,
Mori
K
,
Chan
CK
1977
Influence of seismic history on liquefaction of sands
Journal of the Geotechnical Engineering Division
103
GT4
257
 -
270
Seed
HB
,
Idriss
IM
,
Arango
I
1983
Evaluation of liquefaction potential using field performance data
Journal of Geotechnical and Geoenvironmental Engineering
109
3
458
 -
482
Seed
HB
,
Tokimatsu
K
,
Harder
LF
,
Chung
RM
1985
Influence of SPT procedures in soil liquefaction resistance evaluations
Journal of the Geotechnical Engineering Division
111
12
1425
 -
1445
Seed
RB
,
Cetin
KO
,
Moss
RES
, et al
2003
Recent advances in soil liquefaction engineering: a unified and consistent framework
Proceedings of the 26th Annual ASCE Los Angeles Geotechnical Spring Seminar
30 April
Long Beach, CA, USA
1
 -
71
Stark
TD
,
Olson
SM
1995
Liquefaction resistance using CPT and field case histories
Journal of Geotechnical Engineering
121
12
856
 -
869
Stark
TD
,
Axtell
PJ
,
Lewis
JR
, et al
2009
Soil inclusions in jet grout columns
Deep Foundations Institute Journal
3
1
44
 -
55
Stoel
A
2001
Grouting for Pile Foundation Improvement. PhD thesis
University of Delft
Delft, the Netherlands
Tang
L
,
Cong
S
,
Ling
X
,
Lu
J
,
Elgamal
A
2015
Numerical study on ground improvement for liquefaction mitigation using stone columns encased with geosynthetics
Geotextiles and Geomembranes
43
2
190
 -
195
Tokimatsu
K
,
Asaka
Y
1998
Effects of liquefaction-induced ground displacements on pile performance in the 1995 Hyogoken–Nambu earthquake
Soils and Foundations
38
Special Issue
163
 -
177
Tokimatsu
K
,
Mizuno
H
,
Kakurai
M
1996
Building damage associated with geotechnical problems
Soils and Foundations
36
Special Issue
219
 -
234
Yamauchi
T
,
Tezuka
H
,
Tsukamoto
Y
2017
Development of rational soil liquefaction countermeasure consisting of lattice-shaped soil improvement by jet grouting for existing housing estates
Geotechnical Hazards from Large Earthquakes and Heavy Rainfalls
Hazarika
H
,
Kazama
M
,
Lee
W
Springer
Tokyo, Japan
49
 -
59
Yoshida
H
2010
The progress of jet grouting in the last 10 years in Japanese market
Proceedings of the 35th Annual Conference on Deep Foundations 2010
Hollywood, CA, USA
157
 -
167
Youd
TL
,
Perkins
DM
1987
Mapping of liquefaction severity index
Journal of Geotechnical Engineering
113
11
1374
 -
1392
Youd
TL
,
Idriss
IM
,
Andrus
RD
, et al
2001
Liquefaction resistance of soils: summary report from the 1996 NCEER and 1998 NCEER/NSF workshops on evaluation of liquefaction resistance of soils
Journal of Geotechnical and Geoenvironmental Engineering
127
10
817
 -
833
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