Seismic behavior of buried pipelines Open Access ... · 15 cision support system for the management...

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Discussion Paper | Discussion Paper | Discussion Paper | Discussion Paper | Nat. Hazards Earth Syst. Sci. Discuss., 1, 389–416, 2013 www.nat-hazards-earth-syst-sci-discuss.net/1/389/2013/ doi:10.5194/nhessd-1-389-2013 © Author(s) 2013. CC Attribution 3.0 License. Advances in Geosciences pen Access Natural Hazards and Earth System Sciences Open Access Annales Geophysicae pen Access Nonlinear Processes in Geophysics pen Access Atmospheric Open Access Atmospheric Chemistry and Physics Open Access Discussions Atmospheric Measurement Techniques Open Access Atmospheric Measurement Techniques Open Access Discussions Biogeosciences Open Access Open Access Biogeosciences Discussions Climate of the Past Open Access Open Access Climate of the Past Discussions Earth System Dynamics Open Access Open Access Earth System Dynamics Discussions Geoscientific Instrumentation Methods and Data Systems Open Access Geoscientific Instrumentation Methods and Data Systems Open Access Discussions Geoscientific Model Development Open Access Open Access Geoscientific Model Development Discussions Hydrology and Earth System Sciences Open Access Hydrology and Earth System Sciences Open Access Discussions Ocean Science Open Access Open Access Ocean Science Discussions Solid Earth Open Access Open Access Solid Earth Discussions The Cryosphere Open Access Open Access The Cryosphere Discussions Natural Hazards and Earth System Sciences Open Access Discussions This discussion paper is/has been under review for the journal Natural Hazards and Earth System Sciences (NHESS). Please refer to the corresponding final paper in NHESS if available. Seismic behavior of buried pipelines constructed by design criteria and construction specifications of both Korea and the US S.-S. Jeon School of Civil & Urban Engineering, Construction Technology Research Center, INJE University, Kimhae, South Korea Received: 19 January 2013 – Accepted: 21 February 2013 – Published: 5 March 2013 Correspondence to: S.-S. Jeon ([email protected]) Published by Copernicus Publications on behalf of the European Geosciences Union. 389 Discussion Paper | Discussion Paper | Discussion Paper | Discussion Paper | Abstract Lifeline damage induced by earthquake loading not only causes structure damage but also communication problems resulting from the interruption of various energy utilities such as electric power, gas, and water resources. Earthquake loss estimation systems in the US, for example HAZUS (Hazard in US), have been established for the purpose 5 of prevention and ecient response to earthquake hazards. Sucient damage records obtained from earthquakes are required to establish these systems, however, in Korea, insucient data sets of damage records are currently available. In this study, according to the design criteria and construction specifications of pipelines in Korea and the US, the behavior of both brittle and ductile pipelines embedded in dense sand overlying 10 various in-situ soils, such as clay, sand, and gravel, were examined and compared with respect to the mechanical characteristics of pipelines under various earthquake loadings. 1 Introduction Buried pipelines, one example of lifelines, have not been damaged by previous earth- 15 quakes in Korea. However vibrations of the ground and buildings were perceived by people living in both Busan and Masan, located in the southern part of Korea, during the 2005 Fukuoka earthquake which occurred in Japan. In recent years, earthquakes have become frequent in Korea and thus the behavior of buried pipelines subjected to seismic loading should be carefully examined. 20 A simplified quasi-static seismic deformation analysis for buried pipelines subjected to earthquake loadings was carried out to examine the eects of seismic parameters and found that the behavior of buried pipeline was dominantly influenced by the time delay of seismic waves and the non-uniformity of soil resistance (Wang and Cheng, 1979). A three dimensional quasi-static numerical analysis of continuous or jointed pipelines subject to large ground deformations or seismic ground motions has also 390 1 2 3 4

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Nat. Hazards Earth Syst. Sci. Discuss., 1, 389–416, 2013www.nat-hazards-earth-syst-sci-discuss.net/1/389/2013/doi:10.5194/nhessd-1-389-2013© Author(s) 2013. CC Attribution 3.0 License.

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This discussion paper is/has been under review for the journal Natural Hazards and EarthSystem Sciences (NHESS). Please refer to the corresponding final paper in NHESS if available.

Seismic behavior of buried pipelinesconstructed by design criteria andconstruction specifications of bothKorea and the USS.-S. Jeon

School of Civil & Urban Engineering, Construction Technology Research Center,INJE University, Kimhae, South Korea

Received: 19 January 2013 – Accepted: 21 February 2013 – Published: 5 March 2013

Correspondence to: S.-S. Jeon ([email protected])

Published by Copernicus Publications on behalf of the European Geosciences Union.

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Abstract

Lifeline damage induced by earthquake loading not only causes structure damage butalso communication problems resulting from the interruption of various energy utilitiessuch as electric power, gas, and water resources. Earthquake loss estimation systemsin the US, for example HAZUS (Hazard in US), have been established for the purpose5

of prevention and efficient response to earthquake hazards. Sufficient damage recordsobtained from earthquakes are required to establish these systems, however, in Korea,insufficient data sets of damage records are currently available. In this study, accordingto the design criteria and construction specifications of pipelines in Korea and the US,the behavior of both brittle and ductile pipelines embedded in dense sand overlying10

various in-situ soils, such as clay, sand, and gravel, were examined and comparedwith respect to the mechanical characteristics of pipelines under various earthquakeloadings.

1 Introduction

Buried pipelines, one example of lifelines, have not been damaged by previous earth-15

quakes in Korea. However vibrations of the ground and buildings were perceived bypeople living in both Busan and Masan, located in the southern part of Korea, duringthe 2005 Fukuoka earthquake which occurred in Japan. In recent years, earthquakeshave become frequent in Korea and thus the behavior of buried pipelines subjected toseismic loading should be carefully examined.20

A simplified quasi-static seismic deformation analysis for buried pipelines subjectedto earthquake loadings was carried out to examine the effects of seismic parametersand found that the behavior of buried pipeline was dominantly influenced by the timedelay of seismic waves and the non-uniformity of soil resistance (Wang and Cheng,1979). A three dimensional quasi-static numerical analysis of continuous or jointed25

pipelines subject to large ground deformations or seismic ground motions has also

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Summary of Comments on nhessd-1-389-2013-print.pdfPage: 1

Number: 1 Author: Subject: Highlight The abstract reads more like an introduction. Please go through this and add more quantitative facts as to data used, methods applied, and conclusions.Number: 2 Author: Subject: Highlight Each of these sentences needs references. Please go through here, and the rest of the paper, and add references as appropriate whenever 'facts' are given.

End of this paragraph, please change "should be carefully examined" to "is examined in this paper" so it is clear to reader the subject of this paper.

Number: 3 Author: Subject: Highlight Unclear language. Was this carried out by you, or by Wang and Cheng (1979). If by you, then please state "was carried out here". If by Wang and Chang, then start the sentence with "Wang and Chang (1979) carried out a simplified ...". "They found that the behavior..."

Number: 4 Author: Subject: Highlight Because of the way you have written this paragraph, it is difficult to follow who did what.

Perhaps you could try the sentences something like the following: (a) Start the paragraph with something like, "There have been a number of studies related to buried pipelines. For example, Wang and Cheng (1979) performed a simplified quasi-..." "They found..." In another study, Takada and Tanabe 91987) found... A third study by O'Rourke and Liu (199) found that...

This might make it easier for the reader to separate out the studies, paragraph by paragraph.

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been developed (Takada and Tanabe, 1987). The wave propagation hazard for a par-ticular site is characterized by the peak ground motion parameters as well as the appro-priate propagation velocities. The ground strain and curvature due to wave propagationwere analyzed and the influence of various subsurface conditions on ground strain wasdiscussed (O’Rourke and Liu, 1999). Transient ground strains are recognized to gov-5

ern the response of buried elongated structures, such as pipelines and tunnels, underseismic wave propagation. The shear strain and the longitudinal strain variability withdepth were investigated through qualitative examples and comparisons with analyticalformulas (Scandella and Paolucci, 2010). In Korea, earthquake time-history analyseswere performed for a buried gas pipeline using various parameters such as the type10

of buried gas pipeline, end restrain conditions, soil characteristics, single and multipleearthquake input ground motions, and burial depths (Lee et al., 2009).

Buried pipeline damage correlations are a critical component of loss estimationprocedures applied to lifelines expected to experience future earthquakes. Buriedpipelines are damaged by transient ground motions and permanent ground deforma-15

tion. Pipeline damage induced by wave propagation for relatively flexible pipe materialswas found to be somewhat less than damage of relatively brittle material (O’Rourkeand Ayala, 1993). Permanent ground deformation and its effect on pipelines has beenextensively investigated (O’Rourke et al., 1998), especially in countries of high seis-micity. During representative earthquakes, including the Loma Prieta earthquake in20

1989, buried pipelines were damaged mostly in landfill areas by means of joint pulloutfailures and pipeline cracking. In addition to these damage patterns, artificial connec-tions between relatively rigid pipelines and largely deformable plastic pipe experienceddamage during the Kobe earthquake in 1995. Trunk pipeline damage and cracks inthe axial direction of concrete pipelines were assessed. Pipeline repair rates following25

the 1994 Northridge earthquake were evaluated and explained (Jeon, 2002; Jeon andO’Rourke, 2005).

Seismic fragility analysis of underground polyvinyl chloride (PVC) pipelines was per-formed and demonstrated that there was no significant difference between the analyses

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results and the empirical equation used by HAZUS (Hazard in US), earthquake lossestimation software developed by the Federal Emergency Management Agency (Shihand Chang, 2006). Pipeline damage was estimated for each damage relationship andearthquake scenario. The results show that the variation in ductile pipeline damage es-timations by various relationships was higher than the variation in brittle pipeline dam-5

age estimations for a particular scenario earthquake (Toprak and Taskin, 2007). A newseismic intensity parameter utilizing peak ground velocity (PGV) and peak ground ac-celeration (PGA) to estimate damage in buried pipelines due to seismic wave propa-gation was proposed (Pineda-Porras and Ordaz, 2007).

The probability of system serviceability was estimated as the ratio of the number of10

networks that were found to be serviceable to the sample size used for simulation. Thewater transmission network was adopted and analyzed to serve as a numerical ex-ample demonstrating how to assess the probabilities of system unserviceability undera set of assumed parameter values deemed reasonable (Tan and Chen, 1987). A de-cision support system for the management of geotechnical and environmental risks in15

oil pipelines was developed using GIS (Filho et al., 2010).Historical data and recorded data sets after 1905 show that Korea is in a zone of

low to medium seismicity but it has a high frequency of earthquake occurrences. Inthis study, pipelines were classified by their mechanical properties followed by a nu-merical analysis which examined the behavior of the buried pipelines constructed by20

the design criteria and construction specifications of Korea and the US. The analy-sis considered seismic parameters including PGA achieved from previous earthquakerecords, pipeline types, and in-situ ground conditions.

2 Repair rate of pipelines

The damages of water pipelines in HAZUS were assessed by historical data of pipeline25

repairs from previous earthquakes. As shown in Fig. 1, the algorithm of RR for brittleand ductile pipelines in HAZUS was developed by O’Rourke and Ayala (1993). They

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Page: 2Number: 1 Author: Subject: Highlight . Please add a paragraph to this section. "This paper is organized as follows. First, the repair rate of pipelines is examined by... (Section 2). Then, ... (Section 3). ...."

Number: 2 Author: Subject: Highlight . I see now based on the other reviewer's comments you have defined this as 'repair rate'.

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developed the empirical relationship of RR with peak ground velocity (PPV) based onthe damage reports of the pipelines from previous earthquakes (FEMA, 1999).

Since the mechanical characteristics of pipelines, design criteria, and constructionspecifications of both Korea and the US are very similar, the pipeline damages inducedby seismic loadings in Korea has been predicted by repair rate (pipeline repairs/pipeline5

length (km)), RR, suggested in HAZUS. As the seismic loading was applied to buriedpipelines constructed based on the design criteria and construction specifications inKorea and the US, the mobilized stresses and strain rates of pipelines were examinedand compared.

As listed in Table 1, buried utilities in Korea, including water, gas, and communication10

pipelines, were classified into two categories; ductile and brittle (Ministry of Environ-ment, 2010a, b).

3 Design criteria and construction specifications

The burial depth, the backfill compaction ratio, and the diameter and thickness ofpipelines listed on the construction specifications were used in a numerical analysis15

to examine the dynamic behavior of pipelines as seismic loading was applied.

3.1 Korea

As listed in Table 2, the burial depths, considering traffic loading, should be greaterthan 1.2 and 1.5 m for the 900- and 1000-mm diameter pipelines, respectively (Ministryof Land, Transport, and Maritime Affairs, 2010). The burial depth for large diameter20

pipelines should be greater than their diameter but, in the case that a burial depth of1.2 m is not available due to spatial constraints associated with adjacent undergroundstructures, the burial depth can be reduced to 0.6 m with permission from the officer incharge of roadway management.

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3.2 The US

Table 3 lists the specifications for the burial depth of pipelines with respect to construc-tion sites where there are no special conditions (Office of Pipeline Safety Community(OPS), 2010). Pipeline burial depth should be greater than the frozen ground depth orfrost line. High quality soil is used as backfill material for buried pipelines. Each layer of5

backfill should have a thickness less than 0.3 m and a compaction ratio of greater than90 %. At important construction sites, the water content of backfill materials should bearound the optimum water content and at most 0.2-m lifts with high compaction ratiosare required. Sands used as trench backfill material should have a high compactionratio with moisture near the optimum water content and the use of soil lifts is recom-10

mended.Lift thickness of 20 to 50 % of the minimum diameter of a pipeline are required in

Korea. A lift thickness corresponding to one-eighth of the minimum diameter of thepipeline or 100 mm is required in the US.

4 Evaluating dynamic behavior of the pipeline using numerical analysis15

In this study, a numerical analysis using the commercial finite element softwareABAQUS (2006) was carried out to analyze the dynamic behavior of pipelines sub-jected to seismic loading. The analyses results show the strain rates and stresses ofburied pipelines constructed by the design criteria and construction specifications sug-gested by both Korea and the US. The applied seismic loadings were generated from20

real PGV time records measured at strong motion stations (SMSs) No. 24436 andCHY080 for the 1994 Northridge and 1999 Chi-Chi earthquakes, respectively. Figures 2and 3 show the measured PGV time records of Northridge and Chi-Chi earthquakes,respectively (COSMOS, 2010). In addition to these, the virtual values of various PGAs,such as 0.2, 0.4, 0.6, 0.8, 1.0, and 1.2 g, at a period of 0.5 s and earthquake duration25

of 10 s were applied as seismic loadings.

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Page: 3Number: 1 Author: Subject: Highlight . :This is an example of a sentence with 'facts' but no reference.

Number: 2 Author: Subject: Highlight These two sentences are each examples of sentences with facts, but no references. Please go through ALL sentences and check they have appropriate citations.Number: 3 Author: Subject: Highlight After this first sentence, tell the reader how the section will be organized. Or, do it at the end of this first paragraph. "Numerical modeling will first be examined (Section 4.1), followed by ......"

Number: 4 Author: Subject: Highlight "1994 Northridge (M = *.*) and 1999 (M = *.*) earthquakes"

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4.1 Numerical modeling

The numerical analyses for brittle and ductile pipelines greater than 1000-mm diame-ter and constructed based on the design criteria and construction specifications of bothKorea and the US were carried out. Since a compaction ratio of 90 % for backfill mate-rials is required in both countries, dense sand soil properties were used. The analyses5

were performed considering various in-situ ground conditions such as clay, loose sand,medium dense sand, dense sand, and sand with gravels. In Korea, the diameter andthickness of the brittle and ductile pipelines used in the analyses were 1050 and 75 mmand 1130 and 16 mm, respectively. For the US, these values were 1058 and 75 mm and1144 and 16 mm, respectively.10

Figures 4 and 5 show the configuration and finite difference meshes of numericalanalysis associated with pipeline, ground conditions, and boundary conditions. Thefigure shows an in-situ ground depth of 30.5 m with a width of 120 m. No horizontaldisplacements are allowed at the left and right sides and no horizontal nor verticaldisplacements are allowed at the bottom. In Korea and the US, pipeline cover depths15

(hB1) of 1.5 m and 0.9 m and thickness of bedding beneath pipelines (hB2) of 0.25 mand 0.15 m, respectively, were used in numerical analysis. Tables 4 and 5 list the me-chanical properties of the soils and pipelines, respectively.

4.2 Dynamic behavior of the pipeline

4.2.1 Ductile pipeline20

Figure 6 shows the maximum mobilized stress for ductile pipeline subjected to variousground conditions. As shown in the figure, the mobilized stress in pipelines linearlyincreases as PGA increases and ground stiffness decreases. The mobilized stress ofpipelines in Korea relative to the US is slightly smaller. Differences mobilized along thepipelines range from 4.7 to 11.3 %, 4.7 to 11.8 %, 4.7 to 10.1 %, 2.6 to 11.7 %, and 3.925

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to 10.7 % for in-situ ground conditions of clay, loose sand, medium dense sand, densesand, and dense sand with gravels, respectively.

Figure 7 shows the maximum strain mobilized on ductile pipelines for various groundconditions. As shown in the figure, the strain rate mobilized along the pipelines in-creases as PGA increases and ground stiffness decreases. The strain rate of pipeline5

in Korea relative to the US is slightly higher. The strain rates differ from 6.4 to 8.9 %, 7.4to 9.8 %, 4.8 to 9.7 %, 3.5 to 9.1 %, and 4.5 to 8.8 % for in-situ ground conditions of clay,loose sand, medium dense sand, dense sand, and dense sand with gravels, respec-tively. As the seismic loadings of Northridge and Chi-Chi earthquakes were applied,the mobilized pipeline strains were 1.9 and 4.5 %, respectively.10

4.2.2 Brittle pipeline

Figure 8 shows the maximum mobilized stress for brittle pipeline subjected to variousground conditions. As shown in the figure, stresses in pipelines linearly increases asPGA increases and ground stiffness decreases. The mobilized stress of pipelines in Ko-rea, relative to the US, is slightly smaller. Stress differences mobilized along pipelines15

range from 4.2 to 9.3 %, 4.4 to 9.3 %, 4.7 to 7.8 %, 4.7 to 9.1 %, and 4.9 to 8.2 % forin-situ ground conditions of clay, loose sand, medium dense sand, dense sand, anddense sand with gravels, respectively.

Figure 9 shows the maximum mobilized strain for brittle pipeline subjected to var-ious ground conditions. As shown in the figure, strain rates mobilized along pipeline20

increases as the PGA increases and ground stiffness decreases. Pipeline strain rate inKorea relative to the US is smaller. Strain differences mobilized along pipelines rangefrom 3.8 to 8.5 %, 3.0 to 9.9 %, 2.8 to 8.9 %, 2.2 to 9.9 %, and 4.5 to 9.8 % for in-situground conditions of clay, loose sand, medium dense sand, dense sand, and densesand with gravels, respectively. As the seismic loadings of Northridge and Chi-Chi25

earthquakes were applied, the generated strains were 6.5 and 3.8 %, respectively.Tables 6 and 7 present the differences of the strain and stress, calculated by using

Eqs. (1) and (2), respectively.396

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Page: 4Number: 1 Author: Subject: Highlight With your numerical modelling, I do not get a feeling for how much uncertainty there is, as the diameter and thickness are varied. Is there any way to give some feeling of uncertainty for if you vary one item, how much the results in Figures 4 and 5 might change, and/or how much these will effect later measurements and discussions further down? I think this is the part of the paper I am least convinced by, in terms of sensitivity analysis of the outcomes to the starting parameters.

Number: 2 Author: Subject: Highlight Related comment as previously, but now regarding Figures 6-9. Is there anyway to put some sort of 'error bars' in the x- or y-directions of Figure 6 to 9, so the reader has some idea of how much values might vary by due to inherent errors in the variables?

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Table 3. Minimum embedded depth for buried pipeline (Office of Pipeline Safety Community(OPS), 2010).

Embedded depthLocation for normal

excavation (mm)

Industrial and Residential Areas 91430-m width stream 1219Public roadway and railway ditch 914Port areas in deep water 1219Mexico Bay and water depth (ebb tide) ≤ 4.6 m 914water depth (ebb tide) ≤ 3.6 m 914Other areas 762

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Table 4. Mechanical characteristics of soils used in numerical analysis.

Soil types γ (kNm−3) E (MPa) ν c (kPa) ϕ (◦)

Clay 15 5 0.35 10 20Loose sand 19 15 0.3 0 25Medium dense sand 19 25 0.3 0 28Dense sand 19 45 0.3 0 30Dense sand and gravel 20 120 0.25 0 35

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Number: 2 Author: Subject: Highlight Ensure there is really a ''space' between units.

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Table 7. Mobilized stress difference (%) of pipeline modeled based on Korea and the US designcriteria and construction specification.

Pipeline Soil/PGA (g) 0.2 0.4 0.6 0.8 1.0 1.2 Avga SDb

Ductile Clay 11.3 8.8 5.2 7.2 5.7 4.7 7.2 2.53Pipe Loose sand 11.8 9.7 7.1 5.9 4.9 4.7 7.3 2.84

Medium dense sand 10.1 7.9 9.3 5.9 6.3 4.7 7.4 2.10Dense sand 11.7 9.2 4.1 5.9 2.9 2.6 6.1 3.69Dense sand and gravel 10.7 4.6 5.9 5.4 6.1 3.9 6.1 2.39

Brittle Clay 8.0 9.3 7.2 7.5 5.6 4.2 7.0 1.82Pipe Loose sand 7.2 9.3 6.4 6.6 5.1 4.4 6.5 1.73

Medium dense sand 7.8 6.1 6.3 6.4 4.8 4.7 6.0 1.15Dense sand 7.0 9.1 8.0 6.5 6.8 4.7 7.0 1.49Dense sand and gravel 6.9 7.5 8.2 4.9 6.7 7.1 6.9 1.08

a Avg: Average; b SD: Standard Deviation.

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PGV (cm/sec)

0

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air

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Brittle Pipe

Ductile Pipe

Fig. 1. Fragility curve of buried pipelines provided by HAZUS (FEMA, 1999) Fig. 1. Fragility curve of buried pipelines provided by HAZUS (FEMA, 1999).

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0 5 10 15 20 25 30 35 40

Time (sec)

-1.0

-0.8

-0.6

-0.4

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0.0

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Fig. 2. History of ground acceleration record during Northridge earthquake (COSMOS, 2010)

0 10 20 30 40 50 60 70 80 90

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Fig. 3. History of ground acceleration record during Chi-Chi earthquake (COSMOS, 2010)

Fig. 2. History of ground acceleration record during Northridge earthquake (COSMOS, 2010).

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0 5 10 15 20 25 30 35 40

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Fig. 2. History of ground acceleration record during Northridge earthquake (COSMOS, 2010)

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Fig. 3. History of ground acceleration record during Chi-Chi earthquake (COSMOS, 2010)

Fig. 3. History of ground acceleration record during Chi-Chi earthquake (COSMOS, 2010).

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Page: 11Number: 1 Author: Subject: Highlight .:28:56 "during the 17 January 1994 Northridge (moment magnitude M_W = 6.7) earthquake"

Number: 2 Author: Subject: Highlight date and magnitude similar to Fig. 2.

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D hB1

hB2

30.5m

120m

Fig. 4. Configuration of numerical model associated with pipeline and ground conditions.

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Fig. 4. Configuration of numerical model associated with pipeline and ground conditions

Fig. 5. Finite element mesh configuration and boundary conditions for pipelines

D hB1

hB2

30.5m

120m

Fig. 5. Finite element mesh configuration and boundary conditions for pipelines.

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Page 16: Seismic behavior of buried pipelines Open Access ... · 15 cision support system for the management of geotechnical and environmental risks in oil pipelines was developed using GIS

Page: 12Number: 1 Author: Subject: Highlight This figure caption, and the next one, need to be much more 'self-standing' so the reader can figure out what the figures are without having to do a detailed reading of the text.Number: 2 Author: Subject: HighlighSee Fig. 4, and make the figure caption much more complete. Make sure the difference in this figure for the triangles and circles are clear (remember your audience is both experts in your domain, but also intelligent outsiders in the broader community, so they will not know what the circles/triangles mean, and they will be unsure of what the scales are here, and what is being represented).

Page 17: Seismic behavior of buried pipelines Open Access ... · 15 cision support system for the management of geotechnical and environmental risks in oil pipelines was developed using GIS

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0.2 0.4 0.6 0.8 1 1.2

PGA (g)

0

100

200

300

400

500

600

700

800

Str

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a)

Korea Clay Loose Sand

Medium Dense Sand

Dense Sand Sand & Gravel

(a) Korea

0.2 0.4 0.6 0.8 1 1.2

PGA (g)

0

100

200

300

400

500

600

700

800

Str

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(kP

a)

USA Clay Loose Sand

Medium Dense Sand

Dense Sand Sand & Gravel

(b) The US

Fig. 6. Stress of ductile pipeline mobilized by earthquake loadings with respect to peak ground

acceleration (PGA) in various in-situ ground conditions

Fig. 6. Stress of ductile pipeline mobilized by earthquake loadings with respect to peak groundacceleration (PGA) in various in-situ ground conditions.

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(a) Korea

(b) USA

Fig. 7. Strain (%) of ductile pipeline mobilized by earthquake loadings with respect to peak

ground acceleration (PGA) in various in-situ ground conditions

0.2 0.4 0.6 0.8 1.0 1.2

PGA (g)

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Str

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(%

)

Korea Clay Loose Sand

Medium Dense Sand

Dense Sand Sand & Gravel

0.2 0.4 0.6 0.8 1.0 1.2

PGA (g)

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Str

ain

(%

)

USA Clay Loose Sand

Medium Dense Sand

Dense Sand Sand & Gravel

Fig. 7. Strain (%) of ductile pipeline mobilized by earthquake loadings with respect to peakground acceleration (PGA) in various in-situ ground conditions.

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Page 18: Seismic behavior of buried pipelines Open Access ... · 15 cision support system for the management of geotechnical and environmental risks in oil pipelines was developed using GIS

Page: 13Number: 1 Author: Subject: Highlight See text comments, for Figures 6-9. Is there anyway to add some representation of uncertainty?

I would also expand just a tad the figure captions, if you feel it would help, although these are pretty well done. For example, you could add one sentence, "Values derived from ***** and ****** (see Fig. * and Section. * for further details).