determination of swcc variables.xls
TRANSCRIPT
Please input fitting Parameters
a= 151 n= 3.49 m= 5.21 0.3447
124.52
73.02 s= 0.846 186.64 4E-006
s= Cr=
max=
b=
r=
r= '=
0.01 0.1 1 10 100 1000 10000 100000 1000000
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
1; 0.000
1; 0.345
Experimental data Fredlund and Xing's (1994) equation
Matric Suction, (kPa)
Gra
vim
etri
c W
ater
Con
tent
, w
1500 Experimental data
5000 1 0.1 0.279801
2 10 0.27306585
3 30 0.24866141
4 70 0.20726276
5 100 0.16684226
6 130 0.13894042
7 170 0.11209648
8 200 0.09957896
9 300 0.0833654
10 450 0.0680597
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
w
0.01 0.1 1 10 100 1000 10000 100000 1000000
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
1; 0.000
1; 0.345
Experimental data Fredlund and Xing's (1994) equation
Matric Suction, (kPa)
Gra
vim
etri
c W
ater
Con
tent
, w
Matric suction of point selected to draw the tangent line.
0.01 0.344708 s1= 8.14E-007
Experimental data 0.02 0.344708 s2= 1.63E-006 AEV=
0.04 0.344707 s3= 3.25E-006
0.06 0.344707 s4= 4.88E-006
0.08 0.344706 s5= 6.51E-006 s1=
0.1 0.344705 s6= 8.14E-006 s2=
0.2 0.344702 s7= 1.63E-005
0.4 0.344695 s8= 3.25E-005
0.6 0.344687 s9= 4.88E-005
0.8 0.34468 s10= 6.51E-005
1 0.344673 s11= 8.14E-005
2 0.344638 s12= 0.000164
4 0.344565 s13= 0.000341
6 0.344489 s14= 0.000554
8 0.344404 s15= 0.000832
10 0.344306 s16= 0.001212 AEV=
12 0.344191 s17= 0.001731 AEV=
15 0.343975 s18= 0.002869
20 0.343443 s19= 0.006134 AEV=
40 0.337048 s20= 0.052876
60 0.317837 s21= 0.193647
80 0.279897 s22= 0.438852
100 0.224673 s23= 0.701639
200 0.022372 s24= 0.276874
400 0.000493 s25= 0.005467
600 8.80E-005 s26= 0.000755
800 3.28E-005 s27= 0.000238
1000 1.69E-005 s28= 0.000109
2000 3.14E-006 s29= 1.53E-005
4000 8.36E-007 s30= 3.33E-006
6000 4.28E-007 s31= 1.56E-006
8000 2.75E-007 s32= 9.47E-007
10000 1.98E-007 s33= 6.57E-007
20000 7.69E-008 s34= 2.32E-007
40000 3.19E-008 s35= 9.09E-008
50000 2.42E-008 s36= 6.84E-008
80000 1.37E-008 s37= 3.84E-008
100000 1.04E-008 s38= 2.95E-008
500000 9.90E-010 s39= 4.75E-009
1000000 0 s40= 2.14E-009
x1=
y1=
intial=
x2=
y2=
x3=
y3= max=
x4=
y4=
x5=
y5=
x6=
y6=
x7=
y7=
x8=
y8= max=
x9=
y9=
r=
x10=
y10= '=
x11=
y11=
x12=
y12=
intial=
x13=
y13= max=
x14=
y14= =
x15=
y15=
x16=
y16=
x17=
y17=
x18=
y18=
x19=
y19=
x20=
y20=
x21=
y21=
x22=
y22=
r=
x23=
y23=
r=
x24=
y24=
x25=
y25=
r=
x26=
y26=
x27=
y27=
x28=
y28=
x29=
y29=
x30=
y30=
x31=
y31=
x32=
y32=
x33=
y33=
x34=
y34=
x35=
y35=
x36=
y36=
x37=
y37=
x38=
y38=
x39=
y39=
x40=
y40=
0.01 0.344709
73.01788 0.344709
124.5165 0.148668
0.845742 2.249919E-005
2.17E-006 5.74E-007 0.0058771922
0.7072851168
124.5165 0.148668 1510.419
186.6406 3.67E-006 s2= 2.08E-006
5000 5.74E-007
0.01 0.148668
124.5165 0.148668
124.5165 0
73.01788 0.344709
73.01788 0.444709
58.91932 0.364709
73.01788 0.344709
112.143 0.364709
186.6406 3.67E-006
186.6406 -0.079996
159.5424 -0.019996
186.6406 3.67E-006
207.2174 -0.019996
73.01788 0.344709
186.6406 3.67E-006
s=s=i=
'=
i= '= '=r='=
i=i==
r=
r=
5.86E-006
a= 151.042 n= 3.494 m= 5.2125217 0.3447086
MSSE= 57.46% 48.39% ARE= 68.15% 1500
a= 151.042 n= 3.494 m= 5.213 0.345 AEV= 65.916 124.517 Porosity n= 0.41235
0.01 0.3447083 8E-007
0.02 0.3447079 2E-006
0.04 0.3447072 3E-006
0.06 0.3447065 5E-006
0.08 0.3447058 7E-006
0.1 0.3447051 8E-006
0.2 0.3447016 2E-005
0.4 0.3446945 3E-005
0.6 0.3446874 5E-005
0.8 0.3446804 7E-005
1 0.3446733 8E-005
2 0.3446378 0.0002
4 0.3445654 0.0003
6 0.3444886 0.0006
8 0.3444037 0.0008
10 0.3443063 0.0012
12 0.3441915 0.0017 x1=
15 0.3439746 0.0029 x2=
20 0.3434427 0.0061 x3=
40 0.3370482 0.0529 x4=
60 0.317837 0.1936 x5=
80 0.2798971 0.4389 x6=
100 0.2246727 0.7016 x7=
200 0.0223718 0.2769 x8=
400 0.0004926 0.0055 x9=
600 8.796E-005 0.0008 x10=
800 3.281E-005 0.0002 x11=
1000 1.689E-005 0.0001 x12=
2000 3.136E-006 2E-005 x13=
4000 8.361E-007 3E-006 x14=
6000 4.280E-007 2E-006 x15=
8000 2.752E-007 9E-007 x16=
10000 1.984E-007 7E-007 x17=
20000 7.687E-008 2E-007 x18=
40000 3.191E-008 9E-008 x19=
50000 2.424E-008 7E-008 x20=
80000 1.366E-008 4E-008 x21=
s=
R2= r=
s=
max=
x1=
y1=
x2=
y2=
x3=
y3=
x4=
y4=
x5=
y5=
x6=
y6=
x7=
y7=
x8=
y8=
x9=
y9=
x10=
y10=
x11=
y11=
x12=
y12=
x13=
y13=
x14=
y14=
x15=
y15=
x16=
y16=
x17=
y17=
x18=
y18=
x19=
y19=
x20=
y20=
x21=
y21=
x22=
y22=
x23=
y23=
x24=
y24=
x25=
y25=
x26=
y26=
x27=
y27=
x28=
y28=
x29=
y29=
x30=
y30=
x31=
y31=
x32=
y32=
x33=
y33=
x34=
y34=
x35=
y35=
x36=
y36=
x37=
y37=
100000 1.039E-008 3E-008 x22=
500000 9.897E-010 5E-009 x23=
1000000 0 2E-009 x24=x25=
151.04187 151.04187393 0.0832806 0.0833 x26=151.04187 0.01 0 0.0833 x27=
x28=
AEV= 65.916205 65.916205285 0.3447086 0.3447 x29=151.04187 0.01 0.0832806 0.3447 x30=
x31=x32=x33=x34=x35=
x1=x2=x3=x4=x5=x6=x7=x8=x9=x10=x11=x12=x13=x14=x15=x16=x17=x18=x19=x20=x21=x22=x23=x24=x25=x26=x27=
x38=
y38=
x39=
y39=
x40=
y40=
i= i=
AEV=
x28=x29=x30=x31=x32=x33=x34=x35=
Total:
SSE=
0.509
1 y1= 0.509 y'1= 0.344673
19.9938 y2= 0.5076 y'2= 0.343444
50.1631 y3= 0.4897 y'3= 0.329369
99.4121 y4= 0.3131 y'4= 0.226461
199.35 y5= 0.2028 y'5= 0.022766
399.754 y6= 0.1393 y'6= 0.000494
695.84 y7= 0.0979 y'7= 5.19E-005
991.194 y8= 0.0759 y'8= 1.73E-005
1197.03 y9= 0.0455 y'9= 1.04E-005
0 y10= 0 y'10= 0.344709
0 y11= 0 y'11= 0.344709
0 y12= 0 y'12= 0.344709
0 y13= 0 y'13= 0.344709
0 y14= 0 y'14= 0.344709
0 y15= 0 y'15= 0.344709
0 y16= 0 y'16= 0.344709
0 y17= 0 y'17= 0.344709
0 y18= 0 y'18= 0.344709
0 y19= 0 y'19= 0.344709
0 y20= 0 y'20= 0.344709
0 y21= 0 y'21= 0.344709
0.01 0.1 1 10 100 1000 10000 100000 10000000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8Experimental DataColumn FMethod ASlope
Matric Suction, (kPa)
Vol
umet
ric
wat
er c
onen
t,
w
0 y22= 0 y'22= 0.344709
0 y23= 0 y'23= 0.344709
0 y24= 0 y'24= 0.3447090 y25= 0 y'25= 0.3447090 y26= 0 y'26= 0.3447090 y27= 0 y'27= 0.3447090 y28= 0 y'28= 0.3447090 y29= 0 y'29= 0.3447090 y30= 0 y'30= 0.3447090 y31= 0 y'31= 0.3447090 y32= 0 y'32= 0.3447090 y33= 0 y'33= 0.3447090 y34= 0 y'34= 0.3447090 y35= 0 y'35= 0.344709
1 y1= 0.509 y'1= 0.34467319.9938 y2= 0.5076 y'2= 0.34344450.1631 y3= 0.4897 y'3= 0.32936999.4121 y4= 0.3131 y'4= 0.226461
199.35 y5= 0.2028 y'5= 0.022766399.754 y6= 0.1393 y'6= 0.000494
695.84 y7= 0.0979 y'7= 5.19E-005991.194 y8= 0.0759 y'8= 1.73E-0051197.03 y9= 0.0455 y'9= 1.04E-005
y10= y'10= 0.344709y11= y'11= 0.344709y12= y'12= 0.344709y13= y'13= 0.344709y14= y'14= 0.344709y15= y'15= 0.344709y16= y'16= 0.344709y17= y'17= 0.344709y18= y'18= 0.344709y19= y'19= 0.344709y20= y'20= 0.344709y21= y'21= 0.344709y22= y'22= 0.344709y23= y'23= 0.344709y24= y'24= 0.344709y25= y'25= 0.344709y26= y'26= 0.344709y27= y'27= 0.344709
y28= y'28= 0.344709y29= y'29= 0.344709y30= y'30= 0.344709y31= y'31= 0.344709y32= y'32= 0.344709y33= y'33= 0.344709y34= y'34= 0.344709y35= y'35= 0.344709
0.57461 #NAME? 9 0.4839 0.264521R2= ymean
=
0.241296
0.083295
0.725936
2.10594
0.715692
4.90E-005
0.18959
0.0269920908 1 1
0.0269427389 1.002719 1
0.0256917203 1.039438 1
0.0075068287 1.625555 1
0.0323974253 2.510202 2
0.0192698718 3.653478 3
0.0095803271 5.19719 5
0.0057524318 6.709095 6
0.0020708691 11.18184 11
i=s=
s/s=
1==========1=12=13=14=15=16=17=18=19==
0.01 0.1 1 10 100 1000 10000 100000 10000000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8Experimental DataColumn FMethod ASlope
Matric Suction, (kPa)
Vol
umet
ric
wat
er c
onen
t,
w
124.51652655
SSE= 0.1562043
(yi-yi')/yi
0.1041979039 0.059753 0.0269921 0.32280.1045736996 0.059081 0.0269427 0.32340.1071550884 0.050685 0.0256917 0.32730.0765741262 0.00236 0.0075068 0.27670.7880435455 0.003815 0.0323974 0.88770.9929199594 0.015678 0.0192699 0.99650.9989412791 0.027752 0.0095803 0.99950.9995436342 0.035592 0.0057524 0.99980.9995432271 0.047963 0.0020709 0.9998
=
(yi-ymean
)2 (yi-y'i)2
1==========1=12=13=14=15=16=17=18=19=20=21=22=23=24=25=26=27=
0.302679 0.1562043
ARE= 0.6814919033
28=29=30=31=32=33=34=35=
0.9877386642-9.46476E-0055.826199E-0080.1508934379-0.00297197642.340578E-005
S'= -0.0029498177S''= 2.369017E-005
5.034500E-011
Target = 2.534619E-021
C()=C()'=C()''=='=''=
S''*+S'=
a= 151.042 n= 3.494 m= 5.2125217
MSSE= 1.09% 98.47% ARE= 6.66%
a= 151.042 n= 3.494 m= 5.213 AEV= 65.916 Porosity n=
0.01 0.3447083 8E-007
0.02 0.3447079 2E-006
0.04 0.3447072 3E-006
0.06 0.3447065 5E-006
0.08 0.3447058 7E-006
0.1 0.3447051 8E-006
0.2 0.3447016 2E-005
0.4 0.3446945 3E-005
0.6 0.3446874 5E-005
0.8 0.3446804 7E-005
1 0.3446733 8E-005
2 0.3446378 0.0002
4 0.3445654 0.0003
6 0.3444886 0.0006
8 0.3444037 0.0008
10 0.3443063 0.0012
12 0.3441915 0.0017
15 0.3439746 0.0029
20 0.3434427 0.0061
40 0.3370482 0.0529
60 0.317837 0.1936
80 0.2798971 0.4389
100 0.2246727 0.7016
200 0.0223718 0.2769
400 0.0004926 0.0055
600 8.796E-005 0.0008
800 3.281E-005 0.0002
1000 1.689E-005 0.0001
1500 5.959E-006 3E-005
4000 8.361E-007 3E-006
6000 4.280E-007 2E-006
8000 2.752E-007 9E-007
10000 1.984E-007 7E-007
20000 7.687E-008 2E-007
40000 3.191E-008 9E-008
50000 2.424E-008 7E-008
80000 1.366E-008 4E-008
100000 1.039E-008 3E-008
500000 9.897E-010 5E-009
1000000 0 2E-009
s=
R2= r=
s=
x1=
y1=
x2=
y2=
x3=
y3=
x4=
y4=
x5=
y5=
x6=
y6=
x7=
y7=
x8=
y8=
x9=
y9=
x10=
y10=
x11=
y11=
x12=
y12=
x13=
y13=
x14=
y14=
x15=
y15=
x16=
y16=
x17=
y17=
x18=
y18=
x19=
y19=
x20=
y20=
x21=
y21=
x22=
y22=
x23=
y23=
x24=
y24=
x25=
y25=
x26=
y26=
x27=
y27=
x28=
y28=
x29=
y29=
x30=
y30=
x31=
y31=
x32=
y32=
x33=
y33=
x34=
y34=
x35=
y35=
x36=
y36=
x37=
y37=
x38=
y38=
x39=
y39=
x40=
y40=
151.04187 151.04187393 0.0832806 0.0833151.04187 0.01 0 0.0833
AEV= 65.916205 65.916205285 0.3447086 0.3447
151.04187 0.01 0.0832806 0.3447
i= i=
AEV=
0.3447086
1500
0.345 1
0.3447
x1= 0.01 y1= 0.3447 y'1=
x2= 3 y2= 0.3447 y'2=
x3= 18 y3= 0.3355 y'3=
x4= 53 y4= 0.2994 y'4=
x5= 88 y5= 0.2729 y'5=
x6= 108 y6= 0.2046 y'6=
x7= 121 y7= 0.1597 y'7=
x8= 143 y8= 0.0804 y'8=
x9= 166 y9= 0.0674 y'9=
x10= 0 y10= 0 y'10=
x11= 0 y11= 0 y'11=
x12= 0 y12= 0 y'12=
x13= 0 y13= 0 y'13=
x14= 0 y14= 0 y'14=
x15= 0 y15= 0 y'15=
x16= 0 y16= 0 y'16=
x17= 0 y17= 0 y'17=
x18= 0 y18= 0 y'18=
x19= 0 y19= 0 y'19=
x20= 0 y20= 0 y'20=
x21= 0 y21= 0 y'21=
x22= 0 y22= 0 y'22=
x23= 0 y23= 0 y'23=
x24= 0 y24= 0 y'24=
0.01 0.1 1 10 100 1000 10000 100000 10000000
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
Experimental Data
Method A
Matric Suction, ψ (kPa)
Vol
umet
ric
wat
er c
onte
nt, θ
w
x25= 0 y25= 0 y'25=x26= 0 y26= 0 y'26=x27= 0 y27= 0 y'27=x28= 0 y28= 0 y'28=x29= 0 y29= 0 y'29=
x30= 0 y30= 0 y'30=x31= 0 y31= 0 y'31=x32= 0 y32= 0 y'32=x33= 0 y33= 0 y'33=x34= 0 y34= 0 y'34=x35= 0 y35= 0 y'35=
x1= 0.01 y1= 0.345 y'1=x2= 3 y2= 0.345 y'2=x3= 18 y3= 0.336 y'3=x4= 53 y4= 0.299 y'4=x5= 88 y5= 0.273 y'5=x6= 108 y6= 0.205 y'6=x7= 121 y7= 0.160 y'7=x8= 143 y8= 0.080 y'8=x9= 166 y9= 0.07 y'9=x10= y10= y'10=x11= y11= y'11=x12= y12= y'12=x13= y13= y'13=x14= y14= y'14=x15= y15= y'15=x16= y16= y'16=x17= y17= y'17=x18= y18= y'18=x19= y19= y'19=x20= y20= y'20=x21= y21= y'21=x22= y22= y'22=x23= y23= y'23=x24= y24= y'24=x25= y25= y'25=x26= y26= y'26=x27= y27= y'27=x28= y28= y'28=x29= y29= y'29=x30= y30= y'30=x31= y31= y'31=x32= y32= y'32=x33= y33= y'33=x34= y34= y'34=
x35= y35= y'35=
Total:
SSE= 0.010933 #NAME? 9 0.9847R2= ymean
=
0.241296
0.083295
0.725936
2.10594
0.715692
4.90E-005
0.18959
0.344708 1.248493E-013 1 1
0.344602 1.137310E-008 1 1
0.343686 6.630706E-005 1.027316 1
0.326491 0.0007324341 1.151224 1
0.259467 0.0001808762 1.263058 1
0.19988 2.252013E-005 1.684584 1
0.159553 2.372523E-008 2.158379 2
0.099672 0.0003709138 4.286741 4
0.055903 0.0001333216 5.110638 5
0.344709 0.1188240465
0.344709 0.1188240465
0.344709 0.1188240465
0.344709 0.1188240465
0.344709 0.1188240465
0.344709 0.1188240465
0.344709
0.344709
0.344709
0.344709
0.344709
0.344709
0.344709
0.344709
0.344709
i=s=
s/s=
1==========1=12=13=14=15=16=17=18=19==
0.01 0.1 1 10 100 1000 10000 100000 10000000
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
Experimental Data
Method A
Matric Suction, ψ (kPa)
Vol
umet
ric
wat
er c
onte
nt, θ
w
0.3447090.3447090.3447090.3447090.344709
0.3447090.3447090.3447090.3447090.3447090.344709 SSE= 0.7144507
(yi-yi')/yi
0.344708 1.050707E-012 0.01217 1.248E-013 1E-0060.344602 9.571378E-008 0.01217 1.137E-008 0.00030.343686 0.0005889295 0.010232 6.631E-005 0.02430.326491 0.0081692883 0.00423 0.0007324 0.09040.259467 0.0024284183 0.001484 0.0001809 0.04930.19988 0.0005378382 0.000886 2.252E-005 0.02320.159553 9.301687E-007 0.005577 2.373E-008 0.0010.099672 0.0573618556 0.023709 0.0003709 0.23950.055903 0.0293053109 0.027869 0.0001333 0.17120.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.3447090.344709
(yi-ymean
)2 (yi-y'i)2
1==========1=12=13=14=15=16=17=18=19=20=21=22=23=24=25=26=27=28=29=30=31=32=33=34=
0.344709
0.098328 0.0015064
0.234389 ARE= 0.0665653838
35=
96
9.38199E-0080.000178477
0.005371375
0.005728422 3.28E-005
(yi-yi')/yi
=
C''()*C'()*'C()*''=
(C())''=
Please input fitting Parameters
a= 26.87 n= 0.4153 m= 2.4555 0.78 5000
1.5501
0.075 s= 0.131 44445 0.026 2
s= '=
max=
b=
r=
r=
max=
0.01 0.1 1 10 100 1000 10000 100000 1000000
-0.2
0
0.2
0.4
0.6
0.8
1
1; 0.026
1; 0.780
Experimental data Fredlund & Xing 1994 (Method B)
Slope Column AC
Matric Suction, ( kPa)
Vol
umet
ric
Wat
er C
onte
nt,
w
Experimental data
1 0.1 0.279801
2 10 0.27306585
3 30 0.24866141
4 70 0.20726276
5 100 0.16684226
6 130 0.13894042
7 170 0.11209648
8 200 0.09957896
9 300 0.0833654
10 450 0.0680597
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
w
0.01 0.1 1 10 100 1000 10000 100000 1000000
-0.2
0
0.2
0.4
0.6
0.8
1
1; 0.026
1; 0.780
Experimental data Fredlund & Xing 1994 (Method B)
Slope Column AC
Matric Suction, ( kPa)
Vol
umet
ric
Wat
er C
onte
nt,
w
Matric suction of point selected to draw the tangent line.
0.01 0.754263 s1= 0.023871
0.02 0.746019 s2= 0.031203 AEV=
0.04 0.735277 s3= 0.040526
0.06 0.727579 s4= 0.047046
0.08 0.721384 s5= 0.052194 s1=
0.1 0.71612 s6= 0.056501 s2=
0.2 0.696895 s7= 0.071685
0.4 0.672687 s8= 0.089586
0.6 0.655901 s9= 0.101194
0.8 0.642721 s10= 0.109842
1 0.631743 s11= 0.116728
2 0.593325 s12= 0.138548
4 0.548416 s13= 0.159478
6 0.519356 s14= 0.170341
8 0.497645 s15= 0.177058
10 0.480262 s16= 0.181562 AEV=
12 0.465758 s17= 0.184721 AEV=
15 0.447697 s18= 0.187885
20 0.42403 s19= 0.190726 AEV=
40 0.366298 s20= 0.191333
60 0.332898 s21= 0.187511
80 0.309735 s22= 0.183033
100 0.292204 s23= 0.178639
200 0.240974 s24= 0.160798
400 0.195804 s25= 0.138876
600 0.172538 s26= 0.125354
800 0.157474 s27= 0.115814
1000 0.146604 s28= 0.108558
2000 0.117166 s29= 0.087438
4000 0.093667 s30= 0.069216 F1=
6000 0.082301 s31= 0.06006 F2=
8000 0.075168 s32= 0.054229
10000 0.070116 s33= 0.050073 AEV=
20000 0.056771 s34= 0.039046 AEV=
40000 0.04636 s35= 0.030493
50000 0.043518 s36= 0.028185
80000 0.038213 s37= 0.023925
100000 0.035981 s38= 0.022157
500000 0.024 s39= 0.013054
1000000 0.020464 s40= 0.010547
x1=
y1=
intial=
x2=
y2=
x3=
y3= max=
x4=
y4=
x5=
y5=
x6=
y6=
x7=
y7=
x8=
y8= max=
x9=
y9=
r=
x10=
y10= '=
x11=
y11=
x12=
y12=
intial=
x13=
y13= max=
x14=
y14= =
x15=
y15=
x16=
y16=
x17=
y17=
x18=
y18=
x19=
y19=
x20=
y20=
x21=
y21=
x22=
y22=
r=
x23=
y23=
r=
x24=
y24=
x25=
y25=
r=
x26=
y26=
x27=
y27=
x28=
y28=
x29=
y29=
x30=
y30=
x31=
y31=
x32=
y32=
x33=
y33=
x34=
y34=
x35=
y35= max=
x36=
y36= max=
x37=
y37=
r=
x38=
y38=
r=
x39=
y39= '=
x40=
y40=
0.01 0.78
0.074841 0.78
1.550052 0.608216
0.130515
0.064039 0.087213
1.550052 0.608216
44444.74 0.026449
5000 0.087213
0.01 0.608216
1.550052 0.608216
1.550052 0
0.074841 0.78
0.074841 0.88
0.085199 0.8
0.074841 0.78
0.05775 0.8
44444.74 0.026449
44444.74 -0.053551
32239.31 0.006449
44444.74 0.026449
55052.47 0.006449
0.074841 0.78
44444.74 0.026449
2.791714
1.174794
0.074841 0.78
0.074841 0.608216
1.550052 0.608216
1.550052 0.026449
44444.74 0.026449
44444.74 0.087213
5000 0.087213
s=s=i=
'=
i=r='=
i=i==
r=
r=
s=
i=i=
r=r='='=
a= 26.870 n= 0.415 m= 2.4555139 0.78
MSSE= 17.97% 98.50% ARE= 21.78%
a= 26.870 n= 0.415 m= 2.456 0.780 AEV= 0.281106 ### Porosity n= 2
0.01 0.754263 0.0239
0.02 0.7460188 0.0312
0.04 0.735277 0.0405
0.06 0.727579 0.047
0.08 0.7213842 0.0522
0.1 0.7161197 0.0565
0.2 0.6968951 0.0717
0.4 0.6726872 0.0896
0.6 0.6559008 0.1012
0.8 0.6427206 0.1098
1 0.6317432 0.1167
2 0.5933246 0.1385
4 0.5484161 0.1595
6 0.5193563 0.1703
8 0.4976447 0.1771
10 0.4802623 0.1816
12 0.4657577 0.1847 x1=
15 0.4476965 0.1879 x2=
20 0.4240299 0.1907 x3=
40 0.3662975 0.1913 x4=
60 0.3328976 0.1875 x5=
80 0.3097354 0.183 x6=
100 0.2922044 0.1786 x7=
200 0.2409738 0.1608 x8=
400 0.1958042 0.1389 x9=
600 0.1725383 0.1254 x10=
800 0.1574742 0.1158 x11=
1000 0.1466036 0.1086 x12=
2000 0.1171661 0.0874 x13=
4000 0.0936673 0.0692 x14=
6000 0.0823014 0.0601 x15=
8000 0.0751675 0.0542 x16=
10000 0.0701161 0.0501 x17=
20000 0.0567707 0.039 x18=
40000 0.0463599 0.0305 x19=
50000 0.0435182 0.0282 x20=
80000 0.0382131 0.0239 x21=
s=
R2=
s=
max=
x1=
y1=
x2=
y2=
x3=
y3=
x4=
y4=
x5=
y5=
x6=
y6=
x7=
y7=
x8=
y8=
x9=
y9=
x10=
y10=
x11=
y11=
x12=
y12=
x13=
y13=
x14=
y14=
x15=
y15=
x16=
y16=
x17=
y17=
x18=
y18=
x19=
y19=
x20=
y20=
x21=
y21=
x22=
y22=
x23=
y23=
x24=
y24=
x25=
y25=
x26=
y26=
x27=
y27=
x28=
y28=
x29=
y29=
x30=
y30=
x31=
y31=
x32=
y32=
x33=
y33=
x34=
y34=
x35=
y35=
x36=
y36=
x37=
y37=
100000 0.0359814 0.0222 x22=
500000 0.0239998 0.0131 x23=
1000000 0.0204636 0.0105 x24=x25=
26.869847 26.87 0.3994675 0.3995 x26=26.869847 0.01 0 0.3995 x27=
x28=
AEV= 0.2811059 0.281 0.78 0.78 x29=26.869847 0.01 0.3994675 0.78 x30=
x31=
x32=
x33=x34=x35=
x1=x2=x3=x4=x5=x6=x7=x8=x9=x10=x11=x12=x13=x14=x15=x16=x17=x18=x19=x20=x21=x22=x23=x24=x25=x26=x27=x28=
x38=
y38=
x39=
y39=
x40=
y40=
i= i=
AEV=
x29=x30=x31=x32=x33=x34=x35=
Total:
SSE=
0.78
0.010287 y1= 0.78 y'1= 0.753968
1.04343 y2= 0.704 y'2= 0.629576
1.94639 y3= 0.5948 y'3= 0.594954
4.06659 y4= 0.5079 y'4= 0.547271
8.25892 y5= 0.479 y'5= 0.495191
15.8489 y6= 0.4144 y'6= 0.443197
31.2885 y7= 0.3631 y'7= 0.386762
63.5443 y8= 0.3252 y'8= 0.328233
121.942 y9= 0.2918 y'9= 0.277005
197.417 y10= 0.2629 y'10= 0.241883
400.938 y11= 0.2317 y'11= 0.195663
4213.23 y12= 0.1047 y'12= 0.09212
37351.5 y13= 0.0312 y'13= 0.047278
84963.2 y14= 0.0178 y'14= 0.037594
154060.9 y15= 0.0156 y'15= 0.032114
304142.4 y16= 0.0134 y'16= 0.027053
0 y17= 0 y'17= 0.78
0 y18= 0 y'18= 0.78
0 y19= 0 y'19= 0.78
0 y20= 0 y'20= 0.78
0 y21= 0 y'21= 0.78
1==========1=12=13=14=15=16=17=18=19=20=21=
1 10 100 1000 10000 100000 10000000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Experimental Data
F&X 1994 equation
Matric Suction, ψ (kPa)
Voi
d R
atio
0 y22= 0 y'22= 0.78
0 y23= 0 y'23= 0.78
0 y24= 0 y'24= 0.780 y25= 0 y'25= 0.780 y26= 0 y'26= 0.780 y27= 0 y'27= 0.780 y28= 0 y'28= 0.780 y29= 0 y'29= 0.780 y30= 0 y'30= 0.780 y31= 0 y'31= 0.78
0 y32= 0 y'32= 0.78
0 y33= 0 y'33= 0.780 y34= 0 y'34= 0.780 y35= 0 y'35= 0.78
0.010287 y1= 0.78 y'1= 0.7539681.04343 y2= 0.704 y'2= 0.6295761.94639 y3= 0.5948 y'3= 0.5949544.06659 y4= 0.5079 y'4= 0.5472718.25892 y5= 0.479 y'5= 0.49519115.8489 y6= 0.4144 y'6= 0.44319731.2885 y7= 0.3631 y'7= 0.38676263.5443 y8= 0.3252 y'8= 0.328233121.942 y9= 0.2918 y'9= 0.277005197.417 y10= 0.2629 y'10= 0.241883400.938 y11= 0.2317 y'11= 0.1956634213.23 y12= 0.1047 y'12= 0.0921237351.5 y13= 0.0312 y'13= 0.04727884963.2 y14= 0.0178 y'14= 0.037594
1.54E+05 y15= 0.0156 y'15= 0.0321143.04E+05 y16= 0.0134 y'16= 0.027053
y17= y'17= 0.78y18= y'18= 0.78y19= y'19= 0.78y20= y'20= 0.78y21= y'21= 0.78y22= y'22= 0.78y23= y'23= 0.78y24= y'24= 0.78y25= y'25= 0.78y26= y'26= 0.78y27= y'27= 0.78y28= y'28= 0.78
22=23=24=25=26=27=28=29=30=31=32=33=34=35=
1==========1=12=13=14=15=16=17=18=19==
y29= y'29= 0.78y30= y'30= 0.78y31= y'31= 0.78y32= y'32= 0.78y33= y'33= 0.78y34= y'34= 0.78y35= y'35= 0.78
0.179696 #NAM 15 0.985 0.321089 ARE=
R2= ymean
=
0.546
0.399501
0.192133 0.28
0.246324 0.28
0.28
0.192133 0.28
0.28
0.187953 0.28
0.2799998
0.429 0.2799991
0.2799978
0.2799957
0.2799928
0.279964
0.2798205
0.2795415
0.2791093
0.2785114
0.000677683 1 1 0.2777389
0.005533011 1.108018 1 0.2762406
2.323856E-008 1.311361 1 0.2728229
0.001548413 1.535672 1 0.2491779
0.0002634337 1.628528 1 0.217645
0.0008317845 0.1878778
0.0005589929 0.1636595
0.000008913 0.1035096
0.0002198522 0.0711268
0.0004405102 0.0598055
0.0012974413 0.0537377
0.0001583307 0.0498305
0.0002588917 0.0407175
0.0003909457 0.0344981
0.0002729024 0.0316955
0.0001873163 0.0299779
0.0287735
0.0256007
0.0230799
0.0223748
0.0210271
i=s=
s/s=
1 10 100 1000 10000 100000 10000000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Experimental Data
F&X 1994 equation
Matric Suction, ψ (kPa)
Voi
d R
atio
0.0204447
0.017067
0.0159445
1.550052383
SSE= 0.0126484 0.00885485 7.84085E-005
(yi-yi')/yi
0.0011138775 0.210599 0.0006777 0.03340.0111651759 0.14659 0.005533 0.10576.568473E-008 0.074919 2.324E-008 0.00030.006001979 0.034906 0.0015484 0.07750.0011483464 0.024923 0.0002634 0.03390.0048446626 0.008699 0.0008318 0.06960.0042394385 0.001767 0.000559 0.06518.425520E-005 1.73E-005 8.913E-006 0.00920.0025814571 0.000856 0.0002199 0.05080.0063748597 0.003389 0.0004405 0.07980.0241712651 0.007993 0.0012974 0.15550.0144426517 0.046823 0.0001583 0.12020.2661585031 0.084043 0.0002589 0.51591.2308732848 0.091971 0.0003909 1.10941.1222425834 0.093327 0.0002729 1.0594
slopmax=
''=
(yi-ymean
)2 (yi-y'i)2
0.830823 0.0124611
0.2178476004
0% 0%
0.01 0.01
0.02 0.02
0.04 0.04
0.06 0.06
0.08 0.08
0.1 0.1
0.2 0.2
0.4 0.4
0.6 0.6
0.8 0.8
1 1
2 2
4 4
6 6
8 8
10 10
12 12
15 15
20 20
40 40
60 60
80 80
100 100
200 200
400 400
600 600
800 800
1000 1000
2000 2000
4000 4000
6000 6000
8000 8000
10000 10000
20000 20000
40000 40000
50000 50000
80000 80000
100000 100000
500000 500000
1000000 1000000
