Hydro-Mechanical Properties of an Unsaturated Frictional Material

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178CHAPTER 8. NEW SWCC MODEL FOR SAND INCLUDING SCANNING CURVES Figure 8.5: Experimental imbibition results (1 st imbibition, 2 nd imbibition) and new hysteresis SWCC model best fit (loose specimen, transient state sand column test) Table 8.3: Constitutive parameters for the new hysteresis SWCC model (calibrated) Experimental results b0 b1 b2 b31 b32 R 2 Loose specimen 1 st imbibition 38.87 −4.69 1.04 0.90 −11.14 0.997 2 nd imbibition 38.11 −4.96 0.60 −7.16 −7.67 0.992 Dense specimen 1 st imbibition 35.21 −4.63 0.28 −3.98 −6.59 0.998 2 nd imbibition 35.12 −3.99 0.27 −8.09 −5.49 0.998
8.2. SOIL-WATER CHARACTERISTIC CURVE MODEL 179 processes are shown in Figs. 8.8 and 8.9 for loose specimen. These figures depict the outcome from the residual analysis for the three test phases used in building the 2D models. The plots of observed versus residual values, observed versus predicted values are shown as well as the normal probability plots and histograms. - Plots of residual versus predicted variables and observed versus predicted variables: 50 40 Values 30 Observed Plots of residual versus predicted variables and observed versus predicted variables are given in Fig. 8.6 and 8.7 for drainage process (appropriate results from dense specimen are given in Figs. E.6 and E.7 in Appendix E). The points in the plots of the observed versus predicted values are close to the bisection line that indicates a small error in observed and predicted values. The plots of the residuals versus predicted values do not exhibit any systematic structure and thus indicate that the model fits the experimental data well. Even the points are crowded in the saturated zone and residual zone the range of residuals looks essentially constant across the levels of the predicted values. Additionally it is stated here, that some discrepancies can be observed in Fig. E.7 (see 20 10 30 40 50 Predicted Values 0 20 10 0 60 70 80 90 50 of observations Number state column test I Loose specimen Initial void ratio = 0.89 1st drainage Transient rate = 30 ml/min TDR/T 70 mm Flow -0,6 -0,4 -0,2 0,0 0,2 0,4 0,6 0,8 Residual Values 0 10 20 30 40 -0,8 Residual Values 0,4 0,6 0,8 0,2 -0,6 -0,4 -0,2 0,0 -0,8 Predicted Values 30 40 50 20 10 0 -0,6 -0,4 -0,2 0,0 0,2 0,4 0,6 0,8 Residuals -4 -3 -2 -101234 Expected Normal Value 0.01 0.05 0.15 0.50 0.85 0.95 0.99 -0,8 Figure 8.6: Model validation results from 1 st drainage process (loose specimen, TDR/T70 mm)
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Hydro-Mechanical Properties of Part
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Acknowledgement The present dissert
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3.2 Steps of Model Building . . . .
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11 Summary and Outlook 205 11.1 Gen
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2.16 Influence of Brooks and Corey
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6.2 Experimental results of soil-wa
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7.17 Unsaturated hydraulic conducti
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B.6 Experimental results and best f
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8.3 Constitutive parameters for the
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E ref ur Oedometer reference stiffn
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ρ Density (g/cm 3 ) ρd ρs Dry de
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2 CHAPTER 1. INTRODUCTION Figure 1.
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4 CHAPTER 1. INTRODUCTION - Model b
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6 CHAPTER 1. INTRODUCTION
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8 CHAPTER 2. STATE OF THE ART condu
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10 CHAPTER 2. STATE OF THE ART soil
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12 CHAPTER 2. STATE OF THE ART the
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14 CHAPTER 2. STATE OF THE ART Figu
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16 CHAPTER 2. STATE OF THE ART - Su
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18 CHAPTER 2. STATE OF THE ART - Re
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20 CHAPTER 2. STATE OF THE ART Volu
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22 CHAPTER 2. STATE OF THE ART Drai
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24 CHAPTER 2. STATE OF THE ART wher
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26 CHAPTER 2. STATE OF THE ART drai
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28 CHAPTER 2. STATE OF THE ART Tabl
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30 CHAPTER 2. STATE OF THE ART Tabl
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32 CHAPTER 2. STATE OF THE ART by W
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34 CHAPTER 2. STATE OF THE ART proc
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36 CHAPTER 2. STATE OF THE ART - Im
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38 CHAPTER 2. STATE OF THE ART auth
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40 CHAPTER 2. STATE OF THE ART 2.5.
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46 CHAPTER 2. STATE OF THE ART fitt
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48 CHAPTER 2. STATE OF THE ART Satu
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50 CHAPTER 2. STATE OF THE ART when
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52 CHAPTER 2. STATE OF THE ART Degr
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54 CHAPTER 2. STATE OF THE ART 1. T
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56 CHAPTER 2. STATE OF THE ART 0.2
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58 CHAPTER 2. STATE OF THE ART meth
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60 CHAPTER 2. STATE OF THE ART When
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62 CHAPTER 2. STATE OF THE ART Vert
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64 CHAPTER 2. STATE OF THE ART a) S
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66 CHAPTER 2. STATE OF THE ART - Ja
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68 CHAPTER 2. STATE OF THE ART
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70 CHAPTER 3. INTRODUCTION TO PROCE
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76 CHAPTER 4. EXPERIMENTAL SETUPS s
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78 CHAPTER 4. EXPERIMENTAL SETUPS 1
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80 CHAPTER 4. EXPERIMENTAL SETUPS D
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82 CHAPTER 4. EXPERIMENTAL SETUPS d
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84 CHAPTER 4. EXPERIMENTAL SETUPS b
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86 CHAPTER 4. EXPERIMENTAL SETUPS t
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90 CHAPTER 4. EXPERIMENTAL SETUPS D
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94 CHAPTER 4. EXPERIMENTAL SETUPS T
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96 CHAPTER 5. MATERIAL USED AND EXP
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98 CHAPTER 5. MATERIAL USED AND EXP
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100 CHAPTER 5. MATERIAL USED AND EX
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116 CHAPTER 6. EXPERIMENTAL RESULTS
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Page 154 and 155: 128 CHAPTER 6. EXPERIMENTAL RESULTS
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Page 240 and 241: 214 APPENDIX A. DETAILS ZOU’S MOD
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228 APPENDIX B. SOIL-WATER CHARACTE
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230 APPENDIX C. COLLAPSE POTENTIAL
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232 Vertical strain (-) Vertical st
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234 APPENDIX E. NEW SWCC MODEL - DE
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240 40 50 30 APPENDIX E. NEW SWCC M
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242 Observed Values Number of obser
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244 BIBLIOGRAPHY Aubertin, M., Mbon
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246 BIBLIOGRAPHY Campbell, J. D. (1
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248 BIBLIOGRAPHY Davis, J. L. & Ann
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250 BIBLIOGRAPHY Ferré, P. A. & To
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252 BIBLIOGRAPHY Grozic, J. L. H.,
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254 BIBLIOGRAPHY Janbu, N. (1969),
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256 BIBLIOGRAPHY Lawton, E. C., Fra
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258 BIBLIOGRAPHY Mualem, Y. (1977),
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260 BIBLIOGRAPHY Phene, C. J., Hoff
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262 BIBLIOGRAPHY Rojas, J. C., Sali
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264 BIBLIOGRAPHY Stoimenova, E., Da
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266 BIBLIOGRAPHY Vanapalli, S. K. &
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268 BIBLIOGRAPHY Unsaturated Geotec
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Schriftenreihe des Lehrstuhls für
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Herausgeber: Th. Triantafyllidis 32
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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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