VALIDATION OF LIQUEFACTION-RELATED GROUND FAILURE MODELS USING CASE HISTORIES FROM CHI-CHI, TAIWAN EARTHQUAKE by Daniel B. Chu and Jonathan P. Stewart* University of California, Los Angeles Shannon Lee National Chi Nan University, Puli, Taiwan J. S. Tsai National Cheng Kung University, Tainan, Taiwan P.S. Lin and B.L. Chu National Chung-Hsing University, Taichung, Taiwan Robb E.S. Moss Fugro Inc., Ventura, CA Raymond B. Seed University of California, Berkeley S. C. Hsu Chao-Yang University, Wufeng, Taiwan M. S. Yu Resources Engineering Services, Inc., Taipei, Taiwan Mark C.H. Wang Moh and Associates, Taipei, Taiwan *Corresponding author Submitted for presentation at: U.S.-Taiwan Workshop on Soil Liquefaction Hsinchu, Taiwan, November 2-5, 2003 ABSTRACT The 1999 Chi Chi, Taiwan, earthquake provides case histories of ground failure and non-ground failure that are valuable to the ongoing development of liquefaction susceptibility, triggering and surface manifestation models because the data occupy sparsely populated parameter spaces (i.e., high cyclic stress ratio and high fines content with low to moderate soil plasticity). In this paper, we synthesize results from several large site investigation programs conducted in Nantou, Wufeng and Yuanlin, Taiwan, and compare the data to susceptibility, triggering and surface manifestation models. With regard to liquefaction susceptibility, we find components of the well-known Chinese criteria associated with liquid limit (LL) and water content/LL to be reasonably well validated by the Taiwan data, but clay fraction criteria and CPT-based criteria to not be effective. Triggering models are generally validated for ground failure sites, but the data raise important questions regarding non-ground failure sites whose performance is not well predicted. Problems were encountered with a liquefaction manifestation model widely used in practice. Specifically, the model fails to predict non-ground failure at most free-field sites with high fines content, and fails to predict ground failure for several building sites with large static driving shear stresses. Accordingly, it appears that this model, which was developed principally for clean sands, may not be applicable for soils with high fines content. Key words: Liquefaction, liquefaction triggering, liquefaction susceptibility, and surface manifestation of liquefaction, Chi Chi earthquake. 1 INTRODUCTION The 1999 Mw = 7.6 Chi-Chi Taiwan earthquake triggered numerous significant incidents of liquefaction in inland alluvial areas and in several coastal hydraulic fills [1]. Due to significant interest in the available case histories of liquefaction and non-liquefaction, a series of site investigation programs were undertaken in 2000 by researchers with the National Center for Research in Earthquake Engineering (NCREE) in Taiwan and in 2001-2002 by the authors with funding from the Pacific Earthquake Engineering Research Center (PEER). Results of both site investigation programs are synthesized on the web page http://www.cee.ucla.edu/faculty/Taiwanwebpage/Main.htm. The objectives of this paper are to (1) document a number of the particularly significant case histories to emerge from this earthquake, (2) compare the case histories to established liquefaction susceptibility criteria (e.g., the Chinese criteria), (3) compare these case histories to state-of-practice [2, 3, 4] as well as probabilistically-based stateof-the-art [5, 6] liquefaction triggering procedures, and (4) compare the case histories to a widely used model that is used to predict whether liquefaction effects will be manifest at the ground surface [7]. As will be shown subsequently, the Taiwan liquefaction data has an important role to play in the ongoing development of empirical liquefaction assessment methodologies for two principal reasons: Many of the Taiwan case histories involve high cyclic stress ratios (CSR 0.40.6), where existing data is sparse. The Taiwan case histories involve primarily high fines content soils, where the existing data inventory is sparse (i.e., the Youd et al. [4] triggering model is 2 based on only 13 cases with 35% fines content, [2]), although a number of other studies have been conducted in similar materials since that 1985 study [e.g., 8, 9, 10]. SITE INVESTIGATION PROGRAM The site investigation programs by NCREE and PEER resulted in a total of 92 Cone Penetration Test (CPT) profiles (of which 63 were seismic CPTs) and 98 soil borings with Standard Penetration Testing (SPT) (typically at 1 to 2 m spacing). The majority of the NCREE work was performed in the city of Yuanlin, whereas the entirety of the PEER work and some of the NCREE work was performed in the cities of Nantou and Wufeng. Most of the borings/CPTs were limited to depths of 10-30 m. CPT profiling was performed according to standard techniques (ASTM D 5778-95). For SPT sampling, the percentage of the total theoretical energy delivered to the split-spoon sampler, or energy ratio, was controlled by following the procedures in ASTM D6066-98 and ASTM D1586. We used a safety hammer with a rope/cathead release mechanism, two turns of the rope around the cathead, standard AW rod, and a 12 cm borehole diameter. Hence, the energy transmitted to the sampler would be assumed to be 60% if no short-rod correction was applied. The actual delivered energy was measured for each blow of the hammer using a rod section instrumented with accelerometers and strain gages [11]. Using the average energy ratio (ER) for each test, we computed the blow-count normalized to 60% of the theoretical energy, N60. All retrieved soil samples were subjected to a full suite of laboratory index tests per ASTM standards including sieve, hydrometer, liquid limit, plastic limit, and water 3 content. Results are presented on boring logs on the aforementioned web page. These test results were used for liquefaction susceptibility analysis, as discussed below. Sites selected for subsurface exploration included lateral spread sites, locations of tilted and/or settled buildings, and locations of no apparent ground failure based on postearthquake reconnaissance. A total of 53 sites were investigated by the authors (38 in Wufeng and 15 in Nantou) as well as 137 sites by NCREE (20 in Wufeng, 22 in Nantou and 95 in Yuanlin). Locations of the Wufeng, Nantou, and Yuanlin sites are overlaid on damage locations in Figures 1, 2 and 3, respectively. DATA ANALYSIS PROCEDURES Seismic Demand in Nantou and Wufeng Strong motion accelerographs (SMAs) are present in Nantou (Station TCU076), Wufeng (TCU065) and Yuanlin (TCU 110 and TCU 138). In both Wufeng and Nantou, the SMAs are located within about 1 km of the liquefaction/non-liquefaction sites considered in this research, and are on generally similar site conditions (young alluvium). In Yuanlin, the SMAs are located within approximately 5 km of the liquefaction and non-liquefaction sites. There was no evidence of ground failure in the immediate vicinity of the SMAs. All SMAs are on the footwall side of the ruptured Chelungpu fault, as are the subject liquefaction/non-liquefaction sites. The geometric mean peak horizontal accelerations of the two horizontal components of shaking were PHA = 0.38g in Nantou and 0.67g in Wufeng. For Yuanlin, stations TCU110 and TCU 138 recorded geometric mean PHA = 0.18g and 0.21g, respectively (a representative value of 0.2 g was used for subsequent analysis). These PHA values were used to estimate cyclic stress ratios at the liquefaction/non-liquefaction sites, as discussed below. 4 Liquefaction Susceptibility Analysis Most of the soils at the investigated sites in Nantou, Wufeng and Yuanlin contain significant fines (i.e. > 35% passing the #200 sieve). Fine-grained soils require analysis to evaluate their liquefaction susceptibility. A well-known specification for checking liquefaction susceptibility is the “Chinese criteria,” originally presented by [12] and restated by [4]. The Chinese criteria specify that liquefaction can only occur if all three of the following conditions are met: (1) weight fraction smaller than 5m (i.e., “clay fraction,” CF) < 15%, (2) liquid limit (LL) < 35%, and (3) natural water content (wn) > 0.9LL. More recently, Ref. [13] stated that silty soils are susceptible to liquefaction if both LL < 32% and the amount finer than 2 m < 10 %, whereas Ref. [10] found from Adapazari, Turkey, case histories that the Chinese criteria are effective provided the CF criterion is neglected. As described further below, in this study weight was given to the LL and wn/LL components of the Chinese criteria during the identification of critical layers at the subject sites. Liquefaction susceptibility criteria based on CPT test results are not well established, although in [3] it is proposed that the Ic parameter can distinguish relatively granular soils from potentially plastic soils, with Ic = 2.6 being an approximate boundary between the two. In Ref. [6], it was found from Bayesian analysis of case history data that Ic correlates poorly with the “clean sand” correction factors needed for CPT-based liquefaction triggering analysis, which implies that Ic may not be a suitable parameter for liquefaction susceptibility analysis. Ref. [6] found that for soils with an overburdennormalized tip resistance of qc,1 > 1 MPa, traditional liquefaction is unlikely to occur if friction ratio Rf > 3%, which implies that Rf may be a preferred parameter to Ic. 5 Liquefaction Triggering Analysis The liquefaction triggering analysis procedures used here provide an estimate of cyclic resistance ratio (CRR) based on a measure of penetration resistance (SPT blow count or CPT tip resistance) normalized to 1.0 atm overburden pressure. The current standard of practice for CRR analysis consists of well-known SPT and CPT procedures summarized in [4]. The calculation of seismic demand in terms of a cyclic stress ratio (CSR) in these procedures is performed using ground surface PHA, effective and total stresses at the depth of interest, and stress reduction factors (rd) by [14] that are a function solely of depth. New liquefaction triggering procedures for SPT and CPT have been presented by [5, 6]. These procedures differ from the procedure in [4] in that they are based on different data sets (generally larger and more carefully screened) and are fully probabilistic. These procedures also use different rd models, which are based on statistical interpretation of ground response analysis results. These rd models are sensitive to depth, depth to groundwater, shear wave velocity in the upper 12 m, and earthquake magnitude. In the back-analysis of liquefaction/non-liquefaction sites using SPT or CPT procedures, it is necessary to identify a critical layer having the minimum seismic resistance to liquefaction triggering. The identification of this “weakest strata” is ideally performed based on careful study of CPT tip resistance and friction ratio, in conjunction with a boring log with laboratory index testing to evaluate susceptibility. Shown in Figure 4 is a data set used to evaluate the location of the critical layer at an example site that showed evidence of ground failure in the form of lateral spreading. Beginning with 6 the CPT data on the left side of the figure, the critical layer is preliminarily identified as indicated by the dashed lines based on a combination of low qc (indicating relatively low density) and low Rf (indicating low plasticity). The index properties from the layer (right side of figure) are compared to the LL and wn/LL components of the Chinese criteria, which in this case suggest the layer is susceptible to liquefaction. In the example, a susceptible zone occurs from 2 to 7.5 m deep, but the relatively high CPT tip resistance, qc, along with high corrected SPT blow-count (N1)60 at the depth of 4.5 to 7.5 m preclude it from liquefaction. Accordingly, the critical layer is determined to be at a depth of 2 to 4.5 m, and data from this layer are used to represent this site for data comparisons to liquefaction triggering models. Figure 5 illustrates the identification of the critical layer for an example site that did not show evidence of ground failure. The critical layer is identified by the dashed lines based on a combination of low qc and low Rf. The index properties from the layer (right side of figure) are compared to the LL and wn/LL components of the Chinese criteria, which in this case suggest the layer is not susceptible to liquefaction. In such cases, additional layers are sought that might be susceptible, and these layers are used for subsequent analysis provided they are not at large depth. In the example, a marginally susceptible zone is identified at about 15 m, but this depth is too great for use with triggering models. Accordingly, since the critical layer is not susceptible, and potentially susceptible layers are deep, data from this site would not be included in data compilations for liquefaction triggering. Liquefaction Surface Manifestation Analysis The large amount of case histories and subsurface soil data gathered in this study 7 provide a good opportunity to examine models for surface manifestation of liquefaction. These models were developed by Ishihara [7], who found that the occurrence of liquefaction in some layer of a deposit is not necessarily associated with damage to structures and disruption of the ground surface. Ishihara states: “Only when the development of liquefaction is sufficiently extensive through the depth of a deposit and shallow enough in proximity to the ground surface, do the effective of liquefaction become disastrous, leading to sand boiling and ground fissuring with various types of associated damage to structures and underground installations.” Ishihara [7] investigated the conditions under which liquefaction effects are manifest at the ground surface in terms of the thickness of liquefiable strata and overlying non-liquefiable strata. Examining case histories from three earthquakes, Ishihara identified locations with and without surface manifestations of liquefaction, and borehole data from both regions was compiled. Using available SPT-based triggering and susceptibility models similar to those described above, judgments were made regarding the depth and thickness of liquefiable and non-liquefiable strata. In some cases, the non-liquefiable strata were judged to be so on the basis of soil type (i.e., cohesive soils), while in other cases layers were considered not liquefiable because they were above the ground water table. In all cases, the liquefiable layers were described by Ishihara as “sand” or “fine sand.” We interpret these descriptions of the soil type as applying to clean sands or sands with low fines content (and certainly not plastic fines). A widely-used outcome of the aforementioned analyses is the boundary curves shown in Figures 9 and 10. These curves suggest that liquefaction effects will generally not be manifest at the surface (regardless of the thickness of the liquefiable layer) if the 8 thickness of the non-liquefiable layer is > 3 m for PGA 0.2g, and if the thickness is > 9 m for PGA 0.4-0.5g. It should be emphasized, however, that these results apply essentially for sandy soils. To our knowledge, their reliability for fine-grained materials has not been verified. To compare our case histories with Ishihara’s model, we selected 32 data sets for which the non-CF components of the Chinese susceptibility criteria are satisfied. The liquefiable layer, H2, as depicted on Figures 9 and 10, was identified on the basis of liquefaction susceptibility and triggering criteria (i.e., the layer should be both susceptible and likely to trigger, e.g., Figure 4). The non-liquefiable layer, H1, was identified on the basis of soils being unsaturated (usually in the upper 1-2 m) or clayey (e.g., Figure 5). DATA SYNTHESIS AND MODEL VALIDATION Synthesis of Data Presented in Table 1 are critical layer depths, mean and standard deviation soil properties within the critical layers, and derived quantities utilized in the triggering analysis models for sites in Nantou, Wufeng, and Yuanlin. The statistics on soil properties are evaluated considering both vertical and lateral variability (lateral variability is considered when more than one boring/CPT are available for a site). Also shown are brief descriptions of site performance as observed during post-earthquake reconnaissance. In the following, sites are considered to have “ground failure” when permanent deformations of the ground surface were observed. It should be noted that sites without observed ground failure may have had localized liquefaction at depth that 9 was not manifest at the surface. Validation of Susceptibility Models Plotted in Figure 6 are the average soil index properties within the critical layers for the sites in Table 1. The data are plotted as dots for sites with evidence of ground failure, and as open circles for non-ground failure sites. Figure 6(a) shows the data in LL-wn space along with the boundary curves associated with the Chinese criteria. In the space marked as “susceptible” (i.e., LL < 35, wn/LL > 0.9), 71% of the case histories are ground failure sites (15 of 21), while in the “not susceptible” space 64% (7 of 11) are non-ground failure sites. While clearly imperfect, the non-CF components of the Chinese criteria appear to be unbiased, and in general are validated by the Taiwan data. Figure 6(b) shows the data in LL-CF space. In the susceptible space (CF < 15%), 76% of the case histories are ground failure sites (16 of 21). There are relatively few data in the “not susceptible” space (CF > 20%), with 3 of 5 case histories being nonground failure sites. However, four additional ground failure sites occur between CF = 15-20%. Taken as a whole, these data suggest that the CF component of the Chinese criteria is not effective for liquefaction susceptibility evaluations. Similar findings were reached by [10] using ground failure data in similar soil types in Adapazari, Turkey. Another important observation relates to the use of CPT-based indices for analysis of liquefaction susceptibility. In Figure 7, we plot the Ic and Rf of 47 ground failure and non-ground failure sites having sufficiently low tip resistance (parameterized either by qc1N or qc1) that liquefaction would be likely to trigger in susceptible materials. Figure 7(a) shows the data relative to the widely used Ic criteria for soil classification. Most of the data fall below the Ic = 2.6 threshold, which might be taken to imply 10 liquefaction susceptibility. Within this zone, the data is roughly evenly distributed between ground failure and non-ground failure sites (51% ground failure), and visual examination of the data suggests that the Ic = 2.6 threshold has no value at distinguishing ground failure and non-ground failure sites. The conclusions are similar when the data is plotted against the Rf = 3% threshold. The data from several individual sites are illustrative with respect to the poor performance of the CPT-based indices for assessing liquefaction susceptibility. Consider for example Site W-N-B8 in Table 1, which has soils with Ic < 2.6 and Rf < 3% (indicating relatively granular soils and potentially high liquefaction susceptibility), but which is not susceptible based on the Chinese criteria, and in fact did not show evidence of ground failure. Conversely, Site W-N-B10 with Ic > 2.6 passes the non-CF components of the Chinese criteria and had ground failure. In each of these cases it should be noted that the ground failure involved settlement of rather tall structures (7 stories), and as discussed further below, the static stresses associated with these structures can play an important role with respect to surface manifestation of liquefaction. Liquefaction Triggering Plotted in Figure 8 is average CSR-penetration resistance data within the critical layers for sites in Table 1 that pass the LL and wn/LL components of the Chinese criteria. Also shown are the CRR models discussed previously. In the case of the probabilistic models, the CRR curves shown apply for a 20% probability of liquefaction. Generally, the upper band of results at CSR 0.6 are Wufeng sites, sites with CSR 0.4 are in Nantou, and 11 sites with CSR 0.2 are in Yuanlin. Note that most of the data plotted in Figure 8 are dots (indicating ground failure sites). Most of the non-ground failure sites do not appear on Figure 8 because the soils are not susceptible to liquefaction based on the LL and wn/LL components of the Chinese criteria. The ground failure sites (dots) are generally encompassed by the CRR models, and it is not possible to judge the relative accuracy of these models based on the Taiwan data. The non-ground failure sites (open circles) that plot to the left of the CRR lines in Figure 8 merit additional discussion (i.e., sites W-P-AE, N-P-B1, Y-N-BH7, Y-NBH27). These sites also correspond to several of the open circles within the “susceptible” space in Figure 6(a). Sites W-P-A-E, Y-N-BH7, and Y-N-BH27 consist of a 2-3 m clay bed overlying a layer of relatively sandy soil. The critical layers in these cases were taken as the upper section of sand. Site N-P-B1 consists of 1.5 m of unsaturated soil overlying 6 m of silty sand, which was taken as the critical layer. All sites have essentially “free-field” conditions – namely, the absence of tall structures (local structures at these sites are light, single story buildings). All sites were observed within 2 to 4 weeks of the earthquake by reconnaissance team members, who report no evidence of ground failure in the area. Further discussion of these sites is provided below. Surface Manifestation of Liquefaction Figures 9 and 10 show preliminary comparisons of the Ishihara surface manifestation model to data from Yuanlin and Nantou/Wufeng, respectively. Data from 21 sites is shown in the figures, each of which has a critical layer that satisfies the LL and wn/LL components of the Chinese criteria and is likely to trigger based on penetration 12 resistance. In Figures 9 and 10, H1 is taken as the thickness of surface layers unlikely to liquefy, usually because they are above the water table or consist of soils that are not susceptible to liquefaction. Parameter H2 is the thickness of the critical layer and adjacent layers judged to be susceptible and likely to trigger. In the figures, building sites (triangles) are distinguished from free-field sites (circles). For buildings, the number of stories and number of basement levels are indicated. As before, the symbols are solid for ground failure sites and open for non-ground failure sites. The model generally adequately encompasses the free-field ground failure sites, which all plot to the left of Ishihara’s boundary lines. The model does not adequately represent some free-field non-ground failure sites in each city (Y-N-BH27, N-P-B1, WP-A-E). Problems are also encountered with the building sites, many of which plot to the right of the threshold curves, yet experienced foundation settlement/ground failure. Discussion Much of the Taiwan ground failure/non-ground failure data presented in Figures 6-10 is consistent with existing knowledge of liquefaction phenomena as implemented in models that are widely used in engineering practice. A significant exception to this encouraging result is a series of free-field, non-ground failure sites that would be expected to have liquefaction susceptibility, would be expected to trigger, and generally would be expected to have liquefaction effects manifest at the ground surface. These sites are labeled in Figures 8-10 as W-P-A-E, N-P-B1, Y-N-BH-27, and Y-N-BH-7. An important question to ask regarding these non-ground failure sites is whether they may have in fact experienced liquefaction. As shown in Figures 9-10, all except YN-BH-7 would be expected to have surface manifestation of liquefaction. We speculate 13 that the absence of ground failure does not mean that liquefaction within the critical layers did not occur. Liquefaction in the critical layers may not have been manifest since the layers are overlain by non-liquefiable strata, the sites lacked driving static shear stresses that could mobilize significant ground failure effects through the overlying strata, and the fines contents of the liquefiable soils at depth are considerably higher than what appears to have been considered by Ishihara [7]. In attempting to understand what occurred at the aforementioned sites, consideration of driving static shear stresses may be particularly important. Those nonground failure sites have level ground and free-field conditions, and hence lack driving static shear stresses. However, a majority of the sites that did experience ground failure had significant static shear stresses. Accordingly, questions are raised regarding the appropriate site metric for assessing liquefaction manifestation. Ishihara’s existing criteria are based on the relative thickness of liquefiable and non-liquefiable strata, which are undeniably important factors. However, driving static shear stress may also be significant, at least in high fines content materials similar to those present at the investigated sites in Taiwan. This topic is being actively investigated at present. The Taiwan data also raise corollary questions regarding how a site is classified within the “ground failure” or “non-ground failure” categories as a result of observations from post-earthquake reconnaissance, e.g., for the development of liquefaction triggering models. While there is no question about assigning “dots” to sites with ground failure, a “circle” denoting non-ground failure might actually have experienced ground failure had static stress conditions been different (i.e., if a building was present). This is further complicated by the fact that the existing CRR models presumably apply for a 14 zero static shear stress condition, but for the reasons discussed above, the development of triggering models based on such protocols is likely unconservative for the high fines content materials commonly encountered in Nantou, Wufeng, Yuanlin and many other areas. These issues warrant further research in the development of next-generation triggering models. SUMMARY OF FINDINGS Case histories of ground failure and non-ground failure from the Chi-Chi earthquake are important for the ongoing development of liquefaction susceptibility and triggering models because the effected soils have large fines contents and marginal plasticity levels, and because the earthquake generated large CSRs in these soils. Prior data sets had a paucity of data for such conditions. Comparisons of the data to models indicate that: 1. The CF component of the Chinese criteria appears to be less reliable than the LL and wn/LL components. This is similar to the findings of Sancio et al. [10] for soils in Adapazari, Turkey. 2. CPT-based indices appear unreliable for evaluating liquefaction susceptibility. It is noted that CPT indices for susceptibility have not been formally proposed in Refs [3, 6]. Nonetheless, parameter Ic has been applied in the literature for this purpose, and this practice is not recommended. 3. Ground failure sites from Wufeng, Nantou and Yuanlin are generally encompassed by available CRR models (i.e., the CSR values generally plot above the CRR line). 15 4. Some non-ground failure sites plot above the CRR lines, which raises questions regarding the nature of the site performance (did the site liquefy in a manner that was not manifest at the surface?) and the degree to which the apparently good site performance may be an adequate predictor of future performance at other sites. These questions remain unanswered, but are important for the ongoing development of robust empirical liquefaction triggering models. 5. Problems were encountered with a liquefaction manifestation model widely used in practice. Specifically, the model fails to predict non-ground failure at most free-field sites with high fines content, and fails to predict ground failure for several building sites with large static driving shear stresses. Accordingly, it appears that this model, which was developed principally for clean sands, may have limitations for soils with fines. ACKNOWLEDGEMENTS This project was sponsored by the Pacific Earthquake Engineering Research Center’s Program of Applied Earthquake Engineering Research of Lifeline Systems supported by the State Energy Resources Conservation and Development Commission and the Pacific Gas and Electric Company. This work made use of Earthquake Engineering Research Centers Shared Facilities supported by the National Science Foundation under Award #EEC-9701568. The support of the California Department of Transportation’s PEARL program is also acknowledged. In addition, data from the National Center for Research on Earthquake Engineering (NCREE) through a memorandum of understanding between NCREE and PEER was used in this research and is acknowledged. 16 REFERENCES [1] Stewart, J.P.: coordinator. Chapter 4: Soil liquefaction. Chi-Chi, Taiwan Earthquake of September 21, 1999 Reconnaissance Report. In: Uzarski J, Arnold C, editors. Earthquake Spectra, Supplement A to Vol. 17. 2001, 37-60. [2] Seed, H.B., Tokimatsu, K., Harder, L.F., and Chung, R.M. The influence of SPT procedures in soil liquefaction resistance evaluations. Journal of Geotechnical Engineering, ASCE, 1985; 111(12): 1425-1445. [3] Robertson, P.K. and Wride, C.E. Evaluation cyclic liquefaction potential using he cone penetration test. Canadian Geotechnical Journal, 1998, 35(3): 442-459. [4] Youd, T.L., Idriss, I.M., Andrus, R.D., Arango, I., Castro, G., Christian, J.T., Dobry, R., Finn, W.D., Harder, L.F., Hynes, M.E., Ishihara, K., Koester, J.P., Liao, S.S.C., Marcuson, W.F., Martin, G.R., Mitchell, J.K., Moriwaki, Y., Power, M.S., Robertson, P.K., Seed, R.B., and Stokoe, K.H., II. 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, ASCE, 2001; 127 (10): 817-833. [5] Seed, R.B., Cetin, K.O., Moss, R.E.S., Kammerer, A.M., Wu, J., Pestana, J.M., and Riemer, M.F. Recent advances in soil liquefaction engineering and seismic site response evaluation. In: Proceedings of 4th International Conference of Recent Advance in Geotechnical Earthquake Engineering and Soil Dynamics, 2001, Paper SPL-2. [6] Moss, R.E.S. and Seed, R.B. Probabilistic evaluation of seismic soil liquefaction 17 potential using CPT. In: Proceedings of 8th US-Japan Workshop on Earthquake Resistant Design of Lifeline Facilities and Countermeasures against Liquefaction. 2002, Tokyo, Japan. [7] Ishihara, K. Stability of natural deposits during earthquakes. In: Proceedings of the 11th Int. Conference of Soil Mechanics and Foundation Engineering, San Francisco, CA, 1985, Vol. 1.: 321-376. [8] Holzer, T. L., Bennett, M. J., Ponti, D. J., and Tinsley, J. C. III. Liquefaction and soil failure during 1994 Northridge earthquake. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 1999; 125 (6), 438-452. [9] Boulanger, R. W., Mejia, L. H., and Idriss, I. M. Liquefaction at Moss Landing during Loma Prieta earthquake. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 1997; 123 (5), 453-467. [10] Sancio, R.B., Bray, J.D., Stewart, J.P., Youd, T.L., Durgunoğlu, H.T., Önalp, A., Seed, R.B., Christensen, C., Baturay, M.B., and Karadayılar, T. Correlation between ground failure and soil conditions in Adapazari, Turkey. International Journal of Soil Dynamics and Earthquake Engineering, 2002, 22 (9-12): 1093-1102. [11] Abou-Matar, H. and Goble, G. SPT dynamic analysis and measurements. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 1997; 123 (10): 921-928. [12] Seed, H.B. and Idriss, I.M. Ground motions and soil liquefaction during earthquakes. Earthquake Engineering Research Institute Monograph, 1982, Oakland, CA. [13] Andrews, D.C.A. and Martin, G.R. Criteria for liquefaction of silty soils. In: Proceedings of 12th World Conference on Earthquake Engineering, New Zealand, 18 2000, Paper No. 0312. [14] Seed H.B. and Idriss I.M. Simplified procedure for evaluating soil liquefaction potential. Journal of Soil Mechanics and Foundations Division, ASCE, 1971, 97(9): 1249-1273. 19 Tsa o -Hu R iver W-N-B2 (Route 127) W-N-B5 W-N-B3 W-N-C9 W-N-B1 Ground Surface Rupture W-N-B13 kR ive r W-N-B11 W-P-D Dry C ree W-N-C16 N W-N-B7 0 W-P-E 100 200 300 400m TCU 065 W-N-B8 W-N-B4 TCU 065 W-P-A Strong Motion Accelerograph Settled, Tilted Buildings Lateral Spread W-P-B W-N-B9 Sediment Boils W-P-C Do st Cre ve N e ek Surface Fault Rupture NCREE Investigation Site PEER Investigation Site Fig. 1. Map of Wufeng showing ground failure zones and locations of investigated sites 20 Mao-Lo River Chia-Ping River Hwy 3 Hwy 3a Mao-Lo River TCU 076 LINE 2 Hwy 14b N Hwy 3a Scale 0 100 200 300 400 500 m LINE 1 Hwy 3 TCU 076 Strong Motion Station Principal Ground Failure/ Subsidence Areas Damaged Levees Liquefaction and/or Sand Boils Reported by NCREE PEER investigation site NCREE investigation site Fig. 2. Map of Nantou showing ground failure zones and locations of investigated sites 21 Railroad 0 100 500 1000M Tk 1 Ha Tk Da-Tung Ha 1 Ha TCU 110 Yuanlin River Shih-Shuan -Bay River Yuan-Suai Bar-Bo River Road Tk Ha 1 TCU 110 Central Weather Bureau's Digital Accelerograph Station Holocene Alluvial Sediments Tk Ha Pleistocene Toukoshan Formation Sand Boils (large scale) Reported by MAA Subsidence Area (liquefaction induced settlement) Reported by MAA and/or The Authors Ha Liquefaction Sites (with settlement and/or sand boils) Reported by NCREE Limit of Yuanlin Township NCREE investigation site PEER investigation site Fig. 3. Map of Yuanlin showing ground failure zones and locations of investigated sites 22 WCS-1 (56.85 m MSL) WCC-1 (56.85 m MSL) R f (%) qc (MPa) 0 5 10152025 0 2 4 6 8 10 2 0 Ic 3 Moisture Content (%) (N1 )60 0 1020304050 0 5 10 15 20 25 30 35 40 4 2.6 0 0 Fill CL Critical layer PI 5 SM 5 5 10 10 15 15 20 20 90% LL LL SM-SC Depth (m) 10 15 SM SM ML 20 CL-ML LL CL 25 SM 25 25 In-situ water contents 30 30 30 Fig. 4. Example data set from Wufeng- Site C showing identification of critical layer for a liquefied site. 23 NAS-1 (90.39 m MSL) NAC-1 (90.39 m MSL) qc (MPa) 0 5 10 15 0 R f (%) 2 4 Ic 3 62 4 0 2.6 0 (N 1 )60 10 20 Moisture Content (%) 30 0 5 10 15 20 25 30 35 40 0 0 Fill PI 5 Depth (m) ML Critical Layer Critical Layer 90% LL 5 5 10 10 15 15 20 20 ML 10 LL ML 15 SM 20 In-situ water contents (wn) Non-liquefaction site 50 50 40 40 Liquid Limit Liquid Limit Fig. 5. Example data set from Nantou showing identification of critical layer for a non-liquefied site. 30 20 Not susceptible 30 20 Susceptible Not susceptible 10 10 Susceptible (a) (b) 0 0 0 10 20 30 40 50 Clay Fraction (% < 5 m) 60 0 10 20 30 40 50 Wn (%) non-ground failure ground failure Fig. 6. Ground failure and non-ground failure sites plotted relative to mean soil index properties 24 60 10 120 100 Relatively granular Relatively fine-grained qc1 (MPa) 80 qc1N Liquefaction not likely 8 60 (a) 6 4 (b) 40 2 20 0 1.6 0 2 2.4 2.8 0 3.2 2 4 Rf (%) Ic Non-ground failure Ground failure Fig. 7. Ground failure and non-ground failure sites plotted relative to mean CPTbased soil index properties 25 6 Seed et al (2001) Youd et al. (2001) 0.8 0.8 W-P-A-E W-P-A-E 0.6 CSR CSR 0.6 N-P-B1 0.4 N-P-B1 0.4 Y-N-BH27 0.2 Y-N-BH27 0.2 Y-N-BH7 Y-N-BH7 0 0 0 10 20 30 40 50 0 Corrected Blow Count, (N1)60,C.S. 10 20 30 40 50 Corrected Blow Count, (N1)60,CS ground failure site non-ground failure site Moss and Seed (2002) Robertson and Wride (1998) 0.8 0.8 W-P-A-E W-P-A-E 0.6 CSR CSR 0.6 0.4 0.2 0.4 0.2 0 0 50 100 150 200 0 250 0 Corrected CPT Tip Resistance, qC1N 5 10 15 20 qC,1mod Fig. 8. Ground failure and non-ground failure sites plotted relative to existing liquefaction triggering models 26 25 10 Not Susc. H1 Susceptible H2 Thickness of liquefiable sand layer, H2 (m) PHA = 0.2 g 8 Not Susc. Y-N-BH27 6 Yuanlin 4 Non-ground failure, free-field Ground failure, building settlement (No. floors/No. bsmt levels) Y-N-BH7 2 (9F/1B) (12F/1B) 0 0 2 4 6 8 Thickness of surface layer, H1 (m) Fig. 9. Ground failure and non-ground failure sites in Yuanlin plotted relative to Ishihara [1] surface manifestation model 27 10 12 Thickness of liquefiable sand layer, H2 (m) 10 Not Susc. H1 Susceptible H2 Not Susc. 8 6 PHA = 0.4 g N-P-B1 (7F/0B) 4 (5F/0B) W-P-A-E Wufeng and Nantou (4F/0B) 2 0 (4F/0B) (4F/0B) Non-ground failure, free-field Ground failure, free-field Ground failure, building settlement (No. floors/No. bsmt) (3F/0B) (3F/0B) (3F/0B) 0 2 4 6 8 10 12 Thickness of surface layer, H1 (m) Fig. 10. Ground failure and non-ground failure sites in Nantou and Wufeng plotted relative to Ishihara [1] surface manifestation model 28 Table 1. Inventory of data at selected sites in Nantou, Wufeng and Yuanlin (mean standard deviation values given for data fields) Boring/CPT No No. Borings No. CPT Youd et al. (2001) procedures W-P-A-E 1 3 3-6.5 3.1 0.5 W-P-A-W 3 6 10-15 7.0 2.1 W-P-B 1 5 2 - 5.3 W-P-C 2 13 0.5 - 6 W-P-D 1 1 1-3.3 W-P-E 1 1 N-P-A1 1 1 N-P-A2 1 3.8-5.5 15 N-P-A3 1 1-2 10 N-P-A4 1 1.5-2.5 5 N-P-B1 1 1.6-7.3 11 N-P-B2 1 1.7-3 8 N-P-B3 1 3-5.5 29 N-P-B4 1 2-6.3 15 N-P-B5 1 3.2-6.5 19 N-P-C W-N-B1 2 1 W-N-B3 1 0.6-3.1 3 W-N-B4 1 1-2.5 6 W-N-B5 1 1.5-4.5 13 W-N-B6 1 0.2-4 11 W-N-B7 1 1 0.5-5 W-N-B8 1 1 5-9.5 W-N-B9 1 W-N-B10 1 W-N-B11 1 1.6 - 3.6 10 W-N-B12 1 8 - 14 17 W-N-B13 1 1 - 3.5 4 W-N-B14 1 1-2 15 3 ZC (m) qC (Mpa) 2.4 4.7 2.2 1.3 2.6 2.1 Rf (%) 0.5 1.2 1.2 5.3 2.4 2.0 1.5-3.4 1.5-2.5 2-6 W-N-C9 1 1 - 2.8 W-N-C15 1 2.2 - 2.8 W-N-C16 1 2.5 - 5.5 9.9 24.5 8.0 22.8 22.2 2.5 28.5 8.2 17.6 8.5 24.5 4.9 35.3 0.6 wn/LL 9 4 12 9 5 5 2 13 4 39.0 1.0 31.6 0.9 1.3 4.8 0.2 2.9 3.1 5.7 2.4 4.1 1.9 1.2 0.3 3 2 6 10 1 9 0 6 7 4 7 1 4 1 66.7 1.1 0.6 1.3 0.7 1.6 1 1-6 8 13 32 11 16 7 1.4 0.9 0.3 0.7 0.2 2.2 1.6 1.4 0.4 0.8 1.8 1.0 0.5 1.9 0.9 2.8 1.1 5.1 0.7 13 1.0 0.1 0.2 0.3 < 5 m (%) CSR (N1)60,CS qC1N 29.5 39.7 29.8 17.3 39.2 28.5 CSR IC 10.5 0.7 4.0 3.5 2.1 14.0 12.7 12.7 0.6 0.65 0.03 0.03 0.57 0.03 0.59 0.10 0.43 0.00 16 2.2 0.62 0.65 5 13 15 4 8 3 20 5 40.3 6.7 27 58.4 2.4 0.49 10 N-N-B3 1 3 - 9.4 16 N-N-B4 1 N-N-B5 1 0.5 - 7.5 8 N-N-B6 1 1.5 - 11 20 N-N-B7 1 N-N-B8 1 0-2 4 N-N-B9 1 7 - 11 33 N-N-B10 1 0 - 5.5 10 N-N-B11 1 1.8 - 5.8 5 N-N-B12 1 1.5- 4 8 N-N-B13 1 1 1.8 - 5 26 N-N-B14 1 1 1 - 8.5 16 N-N-C2 1 3-5 N-N-C3 1 1.5 - 3.5 N-N-C13 1 10-11.5 0.8-11.5 7.1 3.3 1.3 2.4 0.9 3.8 0.4 4.8 37.4 50.0 4.0 21.3 19.0 10.0 10.0 22.0 76.0 67.5 65.3 34.5 54.7 38.0 45.5 45.0 40.5 34.0 21.0 30.0 20.0 26.7 22.0 21.5 38.0 25.0 0.7 1.0 0.9 1.0 1.0 0.9 1.0 0.8 0.8 0.1 0.1 0.2 0.2 0.1 0.0 3.5 6.7 0.6 4.7 2.1 2.2 4.9 6.4 4.2 7.0 11.3 1.6 2.8 0.39 0.02 0.01 0.04 0.01 0.04 0.03 0.02 0.03 0.03 0.01 0.01 0.04 0.01 0.11 0.06 0.01 0.04 0.00 0.02 0.01 0.05 0.01 0.01 0.00 0.03 0.02 0.02 0.07 0.00 0.03 0.00 15 4 1 7 10 4 11 3 19.6 8.0 3.5 4.0 9.0 8.0 13.0 1.3 7.0 4.5 3.8 4.0 6.0 27.4 29.9 10.7 31.8 0.9 0.9 0.2 0.8 26.0 17.5 30.5 7.0 26.7 0.6 16.0 9.0 23.8 0.4 0.9 0.3 12.0 9.0 24.5 0.8 0.8 0.0 16.0 9.0 7.0 0.7 1.2 0.5 0.9 0.6 2.7 0.8 1.6 0.7 0.6 0.39 0.28 0.33 0.38 0.34 0.38 0.37 0.37 0.38 0.55 0.57 0.43 0.62 0.45 0.44 0.75 0.43 0.65 0.64 0.54 0.57 0.43 0.56 1 - 2.5 2.5 35.0 23.0 3.0 1.4 3.2 3.3 1.4 0.44 1 3.9 14.0 39.0 0.55 N-N-B2 2.4 - 8 10.0 12.6 9.9 8.2 1.0 9.1 0.6 0.5 31.8 30.5 20.5 17.6 33.2 1.7 5.7 0.5 1 1 LL 22 N-N-B1 1 FC (%) 0.4 0.4 2.4 0.4 2.5 0.4 0.52 0.62 (N1)60,CS qC1 (Mpa) DqC (Mpa) 5 13 12 5 7 3 16 5 3.8 4.1 3.3 2.9 3.7 2.6 0.4 1.2 0.8 5.6 2.1 1.9 CSR- Cetin qC1,mod (Mpa) Probabilistic Field Observations 3.8 3.9 4.1 8.0 5.8 2.5 0.13 0.17 0.52 0.13 0.60 0.12 0.36 0.11 0.01 13 4.6 0.2 4.9 0.61 No ground failure 0.04 26 6.0 1.6 7.6 0.49 Building settlement 0.11 0.12 Lateral spread Lateral spread No ground failure Building settlement 1.5 - 7 0 - 2.3 1 (N1)60 Seed et al. (2001) and Moss and Seed (2002) procedures 7 7 17 1 11 0 4 4 6 35 7 1 6 4 94.7 26.0 17.8 33.5 65.0 25.5 40.3 40.0 27.7 24.7 92.5 87.0 76.0 19.8 1.5 1.7 12.0 39.0 11.7 30.5 16.2 1.2 9.2 4.2 12.2 37 8 0.8 0.1 57.7 6.0 8.8 9.0 15.0 6.7 13.5 24.9 0.9 10.0 10.3 6.3 3 24.7 2 21.7 34.1 0.0 1.0 0.1 0.8 1.0 20.0 13.0 21.0 5.0 5.1 1.5 2.8 14.7 2.3 19.9 7.6 0.6 7.1 8.5 1.8 0.25 0.25 0.30 0.25 0.31 0.37 0.43 0.27 0.23 0.28 0.30 0.26 0.30 0.35 0.24 0.30 0.37 29 17 12 11 18 14 29 19 23 13 7 12 20 18 17 24 13 19 17 22 9 20 7 8 2 9 0 5 2 2.3 15 21 13 14 26 24 10 41 15 11 15 36 21 2 11 1 4 5 7 39 8 1 8 2 0.0 0.40 0.01 14 5 1.8 0.2 1.4 0.3 3.2 0.5 0.39 0.40 11 8 15 12 30 17 21 73.3 62.8 2.1 0.5 0.36 0.52 0.10 0.11 11 4 11 19 16 35.8 64.4 26.4 54.8 0.3 2.2 0.3 2.3 0.43 0.66 0.02 0.03 14 21 10 19.3 12.0 2.7 0.2 0.56 0.01 17 14 26 6 18 5.7 10.5 3.6 30.1 21.7 18.2 7.7 13.1 13 2.7 0.2 2.9 0.2 2.7 0.2 3.0 0.2 2.6 0.56 0.42 0.54 0.24 0.25 0.29 38.4 22.1 2.2 0.3 0.24 0.29 0.32 73.3 31.0 2.1 0.3 0.42 0.27 0.21 0.27 0.29 0.26 0.29 0.32 12.0 39.7 13.7 34 4.2 53.9 0.2 2.5 0.2 2.4 0.1 2.0 0.06 0.01 0.03 0.01 14 12 0.02 18 0.00 10 0.03 14 0.02 23 0.01 22 7 0.01 38 0.03 12 0.02 12 0.02 15 38 0.05 19 7 10 2 11 5 6 2 7 2 5 2 2 12 1 6 4 7 38 8 1 9 3 0.42 0.33 0.40 0.34 0.37 0.39 0.39 7.3 6.1 0.6 1.0 7.9 5.7 0.38 0.52 0.52 0.50 0.59 0.37 3.3 6.2 2.5 5.2 0.6 0.9 0.8 1.1 3.4 7.1 2.3 6.4 0.38 0.66 0.31 1.9 1.1 1.4 1.1 3.3 1.7 0.56 0.62 0.34 0.61 0.26 0.9 1.0 0.3 2.7 2.0 1.7 0.6 2.1 0.5 1.4 0.9 2.5 1.2 3.7 0.6 0.0 0.8 2.4 0.9 5.2 2.1 5.4 1.0 2.1 0.57 0.42 0.54 0.19 0.25 0.29 9.0 2.1 0.2 0.4 3.9 2.1 0.22 0.28 0.35 7.3 3.1 0.7 0.9 7.9 3.1 0.96 0.25 0.20 0.26 0.27 0.24 0.31 0.35 1.2 3.5 1.2 8.8 0.4 5.4 0.5 1.9 0.7 8.6 0.6 0.1 0.9 5.4 1.0 7.9 0.6 5.5 0.21 0.30 0.27 0.15 0.11 0.14 0.09 0.15 0.10 0.11 0.13 0.12 0.12 0.11 0.16 0.12 0.16 0.15 0.15 0.19 0.15 0.18 0.15 0.12 0.18 0.09 0.15 0.08 0.13 0.08 0.08 0.10 0.07 0.13 0.15 0.02 0.12 0.06 0.12 0.09 0.08 0.10 0.15 0.06 0.09 0.09 No ground failure Building settlement Building settlement Building settlement No ground failure Building settlement Building settlement No ground failure No ground failure Lateral spread Building settlement Sand boils No ground failure Building settlement No ground failure Sand boils No ground failure Sand boils Sand boils Sand boils Building settlement Building settlement Sand boils Sand boils Sand boils No ground failure No ground failure Sand boils Sand boils Sand boils Sand boils Lateral spread Lateral spread Sand boils No ground failure Sand boils Building settlement Sand boils Building settlement Sand boils Sand boils Sand boils No ground failure Table 1. Continue ZC (m) Y-N-C1 1 8.5-12.0 Y-N-C3 1 10.0-13.0 7.4 Y-N-C5 1 6.5-8.0 6.9 Y-N-C7 1 6.5-9.5 5.1 Y-N-C8 1 10.0-11.0 2.8 Y-N-C9 1 9.0-11.5 6.7 Y-N-C10 1 3.5-6 2.7 Y-N-C11 1 5.0-7.0 2.2 Y-N-C13 1 5.5-8.0 2.7 Y-N-C15 1 7.5-12.0 3.9 Y-N-C16 1 5.5-7.5 2.5 Y-N-C28 1 6.0-8.0 4.2 Y-N-C36 1 12.5-30 10.0 Y-N-C37 1 6.0-8.0 4.0 Y-N-C38 1 12.0-15.0 11.8 Y-N-C42 1 10.0-13.0 6.7 Y-NA-C44 1 11-14.5 9.5 Y-N-C2 1 2.5-3.5 2.1 Y-N-C4 1 3-5.5 3.1 Y-N-C19 1 4.5-5.5 2.2 Y-N-C22 1 2-8.5 3.5 Y-N-C23 1 3.0-5.0 3.1 Y-N-C24 1 2.0-8.0 2.7 Y-N-C25 1 2.5-4 2.6 Y-N-C31 1 2.-3.5 3.6 Y-N-C32 1 4.5-7.5 3.3 Y-N-C35 1 2.-3.0 2.9 Y-N-C43 1 6.5-8.5 6.4 2.5-4.0 qC (Mpa) 4.1 1.5 1.5 1.9 1.5 1.0 2.4 0.6 0.5 1.0 1.1 0.6 0.8 1.8 0.9 3.4 1.2 3.0 1.0 0.7 0.2 2.0 0.7 1.2 0.4 0.5 1.0 0.5 1.0 Rf (%) 0.9 0.5 0.5 0.3 1.2 0.4 0.8 1.3 1.2 1.3 0.9 0.5 0.5 1.1 0.3 0.3 0.7 0.7 1.3 1.1 0.1 1.1 0.1 0.2 0.1 0.7 0.4 0.4 (N1)60 FC (%) LL wn/LL < 5 m (%) 0.4 0.7 0.7 0.2 0.4 0.2 0.5 0.4 0.5 0.6 0.5 0.3 0.2 0.4 0.2 0.2 1.3 0.7 0.4 0.2 0.1 0.3 0.1 0 0.1 0.3 0.3 0.3 CSR 0.2 0.2 0.19 0.21 0.22 0.22 0.18 0.17 0.22 0.22 0.18 0.21 0.15 0.21 0.2 0.19 0.2 0.22 0.22 0.22 0.2 0.19 0.2 0.13 0.13 0.22 0.17 0.19 Y-N-BH-3 1 7 18 Y-N-BH-5 1 1-5.5 Y-N-BH-7 1 2.5-4.5 Y-N-BH-10 1 5.0-9.7 Y-N-BH-12 1 5.5-7.5 Y-N-BH-14 1 2.0-4.0 Y-N-BH-15 1 5.0-8.0 Y-N-BH-17 1 10.5-17 Y-N-BH-18 1 2-3.5 5 47 Y-N-BH-21 1 1-2.3 3 7 Y-N-BH-25 1 4.5-6.3 7 Y-N-BH-26 1 1.5-3.2 6 Y-N-BH-27 1 2.0-8.0 5 Y-N-BH-28 1 4.0-8.0 5 Y-N-BH-29 1 2.0-8.0 7 Y-N-BH-30 1 2.0-8.5 9 Y-N-BH-31 1 5.0-9.0 4 Y-N-BH-32 1 6.0-13.0 Y-N-BH-35 1 1-6.5 9 Y-N-BH-39 1 3-5.5 5 Y-N-BH-40 1 1-5.0 15 Y-N-BH-41 1 9.5-14 19 Y-N-BH-43 1 0-6.5 4 Y-N-BH-44 1 2.0-10 7 Y-N-BH-45 1 4-9.7 6 Y-N-BH-46 1 1.5-8 5 Y-N-BH-47 1 2.2-4.5 5 2 2 10 2 6 3 6 62.5 4 37.5 4 61.5 27 1 15 4 5 19 11.7 1 55.5 26 76.5 4.0 19.1 40.3 30.1 4.73 40.3 0.71 10.6 27.6 63.5 45.3 44.3 33.4 35.3 17.5 49.3 25.5 32.8 1.63 14 41.6 24.3 18.2 2.08 29.8 0.9 0.0 6 1 2 2 0 2 1 28 10.7 88.8 51 61.3 75 60 54.9 27.4 66.4 35.2 25.2 32.6 40.4 28.3 49.2 70.3 46.2 101 60.4 85.1 36.6 46.6 29.7 43.9 43.7 34.7 33.3 48.9 41 49.2 67.6 11 1.9 1.8 1.9 2.5 1.8 2.2 2.5 2.4 2.3 2.4 2.0 1.9 2.2 1.6 1.9 1.8 2.2 2.3 2.4 2.2 2.2 2.3 2.2 1.8 2.2 2.0 1.8 CSR 6.5 7.4 5.5 2.7 6.4 3.6 2.5 3.2 3.9 2.8 5.0 6.3 4.5 8.7 5.7 8.0 4.5 4.5 3.0 4.6 4.3 3.6 3.4 6.9 4.2 5.8 6.7 0.2 0.16 0.13 0.13 4.0 0.16 2.8 6.8 5.0 0.23 0 0.17 0.01 11 5.0 0.22 11 0.2 0.17 3 0.18 5.0 0.23 15 0.19 1.0 0.19 10 0.17 6.0 4.8 5.0 4.0 5.0 6.8 2.3 7.2 2.2 2.0 2.0 1.4 5.7 2.0 1.14 31.1 0.21 1.0 0.0 1.0 0.0 17.3 33.7 1.0 11.0 35.3 1.0 13.3 37.8 0.9 15.0 11.6 0.21 0.18 0.17 0.2 0.16 0.2 0.15 9 0.01 0.01 0.02 0.01 0.01 0 0.02 0.21 5.0 1.0 6.7 9.4 7.8 10.4 12.7 30 0.17 0.21 0.23 0.2 0.21 0.2 0.15 0.15 2 20 5 11 11 11 13 9 23 15 1 1 1 2 2 5 3 11 0.03 0.01 0.03 0.02 0.01 0.02 0.02 20 20 10 12 12 11 10 0.17 0.12 0.18 0.15 0.15 0.17 0.12 0.13 0.14 0.19 5 1 2 1 0 3 1 qC1 (Mpa) 3.8 0.21 2 2 12 3 12 4 (N1)60,CS 0.2 0.3 0.3 0.2 0.3 0.2 0.2 0.1 0.2 0.2 0.2 0.2 0.1 0.2 0.2 0.1 0.4 0.4 0.1 0.1 0.4 0.1 0.3 0.1 0.1 0.2 0.2 0.2 8 5.7 37.6 74.5 IC 2.3 12 4.0 16.1 36.1 9.14 34.6 30 26.1 42.4 68.9 14.4 13.9 19.1 13.8 10.0 22.1 7.5 5.4 10.8 11.4 6.1 8.4 11.1 10.5 28.1 10.0 26.2 17.5 9.3 2.9 20.1 8.7 12.4 4.2 6.6 10.9 9.0 11.2 3.0 8.7 35 qC1N 39 19.0 6.0 19 1 1 4 3 2 5 3 0.22 19.8 0.2 0.04 2.8 0.19 0.01 2.3 0.6 0.19 0 12.0 7.1 0.19 0.01 1.0 (N1)60,CS 0 0 0 0 0 0 0.01 0.01 0 0 0 0 0.03 0 0 0 0 0 0.01 0 0.01 0.01 0.01 0 0 0 0.01 0 Seed et al. (2001) and Moss and Seed (2002) 0.17 0.14 0.22 0.17 0.17 0.18 0.14 0.06 0.08 0.05 0.04 0.04 0.04 0.05 0.05 0.06 0.05 0.06 0.05 0.07 0.04 0.06 0.07 0.04 0.05 0.05 0.06 0.06 0.06 0.11 0.07 0.06 0.07 0.04 9 1.4 1.3 1.9 1.3 1.0 2.0 0.8 0.5 1.1 1.1 0.6 0.9 1.1 1.0 2.6 1.0 2.4 2.5 0.9 0.3 2.1 0.9 1.3 0.5 1.9 1.1 1.4 1.1 DqC (Mpa) 0.3 0.1 0.1 0.0 0.4 0.0 0.2 0.4 0.5 0.5 0.3 0.1 0.0 0.4 0.0 0.0 0.2 0.2 0.6 0.4 0.4 0.4 0.3 0.2 0.0 0.2 0.1 0.1 0.2 0.3 0.4 0.1 0.3 0.1 0.3 0.2 0.3 0.3 0.3 0.1 0.1 0.3 0.0 0.0 0.7 0.4 0.3 0.1 0.7 0.2 0.3 0.2 0.0 0.2 0.1 0.1 qC1,mod (Mpa) 4.1 6.7 7.6 5.5 3.1 6.4 3.9 2.9 3.7 4.4 3.1 5.1 6.4 4.9 8.7 5.7 8.2 4.8 5.1 3.4 5.0 4.7 3.9 3.6 6.9 4.3 5.8 6.8 1.4 1.1 1.6 1.3 0.8 2.0 0.7 0.5 1.0 1.0 0.5 0.8 1.1 1.0 2.6 1.0 2.0 2.2 0.7 0.2 1.7 0.8 1.1 0.4 1.9 1.0 1.3 1.1 Ground failure No. CPT No. Borings Boring/CPT No Youd et al. (2001) procedures N N N N N N N N N N N N N N N N N Y Y Y Y Y Y Y Y Y Y Y Y 1 0 11 2 10 7 10 Y 7 N 6 N N N 2 18 5 9 N N 8 Y 3 Y 13 Y 7 9 8 10 12 6 21 13 Y 3 1 2 2 2 5 3 7 18 20 10 11 10 10 9 N Y Y Y N N Y Y 6 1 3 3 2 2 2 Y N Y Y Y Y Y