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Group 5: Benchmarks compared with other programs

5.1 Comparison with SLIQ2D (

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DOS and Windows) - One fully saturated layer with variable slope angle

Description

The benchmarks in this paragraph are intended to verify the advanced method by comparing D-FLOW SLIDE results with those from the older program SLIQ-2D SLIQ2D, using both DOS and Windows versions of this program.
Because of the limitations in the DOS version of SLIQ2D, only one fully saturated layer is inputted. The geometry and the material properties for each cases are given in the table below.
The original slope angle is 1:1.25 and is set to "variable" so that the program will search (for each point) for the most unfavorable slope.

Benchmark name

Original file name (SLIQ2D-DOS)

Soil type

Slope height (m)

Slope angle

n (%)

n min (%)

n max (%)

Eps voldm0

m

r

s 2

s max

v

k so (kN/m 2)

u

Unit weight (kN/m 3)

D r (%)

bm5-1a

LGZM1

Sand clay

21.9

1:1.25

45.5

50

35

0.0025

1.7

7

1.28

1.7

1

50000

1

8.856

30

bm5-1b

LGZM2

Sand clay

21.9

1:1.25

45.5

50

35

0.0035

1.7

7

1.28

1.7

1

50000

1

8.856

30

bm5-1c

LGZM3

Sand clay

21.9

1:1.25

45.5

50

35

0.005

1.7

7

1.28

1.7

1

50000

1

8.856

30

bm5-1d

LGZM4

Sand clay

21.9

1:1.25

45.5

50

35

0.006

1.7

7

1.28

1.7

1

50000

1

8.856

30

bm5-1e

SIMPLETA

Sea sand

10

1:1.25

47.4

50

37

0.0092

3

7

1.23

1.35

1

39460

1.33

8.547

20

bm5-1f

LG1D5N5H

Sand clay

20.9

1:1.25

40.2

50

35

0.0022

1.7

7

1.18

1.4

1

85000

1

9.717

65.333

bm5-1g

HBPZBUI3

Sea sand

22

1:1.25

45.5

50

35

0.0054

2

7

1.25

1.4

1.25

50000

1

8.856

30

Benchmark results

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Number of unstable points per slope angle

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In SLIQ2D-Windows only the value of the tangent angle is available in the output. The other parameters (such as Lambda, Ko, the normal stress p and the deviatoric stress q) are not saved and can only be red on the screen, making the comparison difficult.
The automatical Nota also that the automatic generation of the variable values of the slope angle used by SLIQ2D-DOS is not exactly the same as in SLIQ2D-Windows or D-FLOW SLIDE (which use 2 extra slopes compared to SLIQ2D-DOS: 1:1.4 and 1:1.3).

Benchmark 5-1a - Number of unstable points per slope angle, for the 3 programs

D-FLOW SLIDE results

Maximum relative error between SLIQ2D-DOS and D-FLOW SLIDE

Case

Slope angle at which instability occurs (Tan Alpha)

Tan Alpha_p

Ko_p

Normal stress p

Deviatoric stress q

bm5-1a

0.00

0.00

0.00

0.00

0.00

bm5-1b

0.00

0.00

0.00

0.00

0.00

bm5-1c

Slope angle
(Tangent Alpha)

Slope inclinaison
(1:xxx)

Nb. unstable points
SLIQ2D-DOS

Nb. unstable points
SLIQ2D-Windows

Nb. unstable points
D-FLOW SLIDE

Relative error between
D-FLOW SLIDE and SLIQ2D-DOS

Relative error between
D-FLOW SLIDE and SLIQ2D-Windows

( - )

( - )

( - )

( - )

( - )

( % )

( % )

<0.143

<7

0

0

0

0.00

0.00 54

0.143

7

1

1

1

13

0.00

0.00

bm5-1d

0.154 00

6.5

2

2

2 0.00

0.00

0.00

0.167

6

3

3

00

bm5-1e

3

0.00

0.00

0.182

5.5

7

7

7

00

0.00

0.00

0.2

5

15

15

15 bm5-1f

0.00

0.00

0.211

4.75

6

6

6

0.00

0.00

0.222

4.5

15

15

15

0.00

0.00

0.235

4.25

17

17

17

0.00

0.00

0.25

4

19

19

19

0.00

0.00

0.267

3.75

23

23

23

0.00

0.00

0.286

3.5

25

25

25

0.00

0.00

0.308

3.25

24

24

24

0.00

0.00

0.333

3

40

40

40

0.00

0.00

0.364

2.75

24

24

24

0.00

0.00

0.4

2.5

26

26

26

0.00

0.00

0.444

2.25

23

23

23

0.00

0.00

0.5

2

14

14

14

0.00

0.00

0.571

1.75

9

9

9

0.00

0.00

0.667

1.5

3

3

3

0.00

0.00

0.714

1.4

0

1

1

 

0.00

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Comparison between SLIQ2D-Windows and D-FLOW SLIDE

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Results between SLIQ2D-Windows and D-FLOW SLIDE are exactly the same for the tangent angle, as show in the table below.

Table 5-2: Maximum relative error between SLIQ2D-Windows and D-FLOW SLIDE for the tangent angle

Case

Tan Alpha

bm5-1a

0.00 %

bm5-1b

0.00 %

0.00 bm5-1c

0.00 %

bm5-1d 1g

0.00 %

0.00 bm5-1e

0.00 % bm5-1f

0.00 % bm5-1g

0.00 %

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Results between SLIQ2D-

...

Windows and D-FLOW SLIDE are exactly the same for the tangent angle, as show in the table below.

Table 5-2: Maximum relative error between SLIQ2D-DOS Windows and D-FLOW SLIDE for different parametersthe tangent angle

Case

Tan Alpha

bm5-1a

0.00 %

bm5-1b

0.00 %

bm5-1c

0.00 %

bm5-1d

0.00 %

bm5-1e

0.00 %

bm5-1f

0.00 %

bm5-1g

0.00 %

...