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CaseStep 1aStep 1cStep 1dStep 1e
Average slope

Step 1e

Breach flow

Step 1eGlobal checkDetailed checkOverall result Warning message(s)Information message 
ANo     PassPass-WarningD50 < 200 μm in the Detailed check, Advanced check needed (a) 
BYesYes    FailFailFail- Artificial foreland , Advanced check needed (b)
CYesNoYes   FailPass-Fail Criteria on "steepest Steepest slope over 5 m " met, Advanced check needed (c)
DYesNoNoYesNoYesFailPass-Pass  
EYesNoNoYesYesYes FailPass-Warning

D50 < 200 μm

in the Detailed check, Advanced check needed

(a)

Very fine sand (d)

 
FYesNoNoNoYesYesFailFailFail -

D50 < 200 μm

in the Detailed check, Advanced check needed

(a)

Very fine sand (d)

 
GYesNoNoNoNoNoPassPass-Pass  
HYesNoNoNoNoNoPassFail-WarningGlobal passes but Detailed fails, check input  
IYesNoNoNoNoNoPassNot availablePass  
JYesNoNoYesNoYesFailNot availableNot available  

 

For case A, the same input as benchmark 1-1 (see group 1)  is used except:

a  D50 < 200 μm in the Detailed check, Advanced check needed.

b  The criteria on "steepest slope over 5 m" is met, Advanced check needed.

c  Artificial foreland, Advanced check needed.

d  The selected sand type is "Very fine" so the breach flow check in step 1e could not be performed, Advanced check needed.

 

 

For case A, the same input as benchmark 1-1 (see group 1)  is used except:

  • for the distribution of the stochastic parameters of the Detailed check (LogNormal instead of Deterministic/Normal)
  • for the distribution of the stochastic parameters of the Detailed check (LogNormal instead of Deterministic/Normal)
  • for the surface line (the length of the foreland is increased to 160 m instead of 60 m)
  • a "Distance influence zone" of 10 m is used.

...

  • for the distribution of the stochastic parameters of the Detailed check (LogNormal instead of Deterministic/Normal)
  • for the channel slope which is 1: 5 5 instead of 1:6

 

For case F, the same input as benchmark 1-1 (see group 1) is used except:

  • for the distribution of the stochastic parameters of the Detailed check (LogNormal instead of Deterministic/Normal)
  • for the channel slope which is 1: 77.1 instead of 1:6.

 

For case G, the same input as benchmark 1-1 (see group 1) is used except:

  • for the distribution of the stochastic parameters of the Detailed check (LogNormal instead of Deterministic/Normal)
  • for the channel slope which is 1: 76.1 6 instead of 1:6.
  • for the grain diameters:
    • for Calais sand : D50 = 230 μm  (instead of 180) and D15 = 130 μm (unchanged)
    • for Compacted sand : D50 = 210 μm (instead of 160) and D15 = 110 μm (unchanged)

...

    • for the distribution of the stochastic parameters of the Detailed check (LogNormal instead of Deterministic/Normal)
    • for the channel slope which is 1:6.6 instead of 1:6.
    • for the state parameter which is equal to -0.06 instead of -0.03
    • for the grain diameters:
      • for Calais sand : D50 = 230 μm  (instead of 180) and D15 = 130 μm (unchanged)
      • for Compacted sand : D50 = 210 μm (instead of 160) and D15 = 110 μm (unchanged)
    • for the Detailed check, the required probability of failure is 1 per 40000 years instead of 1 per 4000 years and the migration velocity is 0.5m/year instead of 10 mm /year.

...

XSsign > XSzv => Flow slide would not lead to damage on levee => Global check passes.

Detailed check: ( see table below for intermediary results) Probability of flood damage by liquefaction  (= 0.00) < Allowable probability of failure (2.50 × 10-6) => Detailed check passes.D-Flow Slide results

Overall check: as Global and Detailed check pass, the The Overall check gives a Warning message because D50 < 200 μm , an Advanced check is therefore needed. 

...

Global check - Step 1c: The foreland is artificial => Global and Detailed check fail, an Advanced check is needed.

Detailed check: ( see table below for intermediary results) Probability of flood damage by liquefaction  < Allowable probability of failure  => Detailed check passes.D-Flow Slide results

Overall check: as step 1c of The Overall check gives a Information message because the Global check fails, the Overall check fails whatever the Detailed check result. 

Case C:

Global check - Step 1a:

...

Global check - Step 1d: The average slope over a height of at least 5 m is 1:3.901 so steeper than 1:4 => Flow slide is possible based on criterium "steepest slope over 5 m" => Global check fails.=> Global check fails.

Detailed check: see table below for D-Flow Slide resultsDetailed check: (see table below for intermediary results) Probability of flood damage by liquefaction  < Allowable probability of failure  => Detailed check passes.

Overall check: the Overall result fails (even if the Detailed check passes) gives a Warning because the criteria on "steepest slope over 5 m" is met, an Advanced check is therefore needed.

...

But the total slope is 1:6 so steeper than 1:7 => Flow slide is possible based on average slope => Global check fails.

Detailed check: ( see table below for intermediary results) Probability of flood damage by liquefaction  < Allowable probability of failure  => Detailed check passes.D-Flow Slide results

Overall check: the Overall result passesNo message.

Case E:

Global check - Step 1a:

...

And the total slope is 1:5 so steeper than 1:7 => Flow slide is possible based on average slope => Global check fails.slope => Global check fails.

Detailed check: see table below for D-Flow Slide resultsDetailed check: (see table below for intermediary results) Probability of flood damage by liquefaction  < Allowable probability of failure  => Detailed check passes.

Overall check: the Overall check gives a two Warning message messages because D50 < 200 μm and because the selected sand type is "Very fine", an Advanced check is therefore needed.

...

=> Flow slide is possible based on average slope => Global check fails.

Detailed check: ( see table below for intermediary results) Probability of flood damage by liquefaction  < Allowable probability of failure  => Detailed check passes.D-Flow Slide results

Overall check: as Detailed check passes, the The Overall check gives a two Warning message messages because D50 < 200 μm and because the selected sand type is "Very fine", an Advanced check is therefore needed. 

...

Global check - Step 1e:

The slope channel is 1:76.1600, so the slope is softer than the critical (local) slope from the CUR table (not too fine sand with  D50 = 230 μm and D15 = 130 μm) => Breaching is not possible.

And the total slope is 1:76.1 600 so softer than 1:7651 as (HR/24)1/3 = 1.651 with HR = 19.308 m.

=> Flow slide is not possible based on average slope => Global check passes.

Detailed check: ( see table below for intermediary results) Probability of flood damage by liquefaction  < Allowable probability of failure  => Detailed check passes.D-Flow Slide results

Overall check: as Global and Detailed check pass, the Overall passes. No message.

 

Case H:

Global check - Step 1a: Flow slide would lead to damage on levee => Go to step 1c.

...

=> Flow slide is not possible based on average slope => Global check passes.

Detailed check: (see table below for intermediary results) Probability of flood damage by liquefaction  > Allowable probability of failure  => Detailed check fails.

=> Global check passes.

Detailed check: see table below for D-Flow Slide results

Overall check: No message.Overall check: Global passes and Detailed checks fails, that's not logical, so a warning message is displayed in the Overall check. 

 

Case I:

Global check : idem case H => Global check passes.

Detailed check: Results not available.

Overall check:  the Global check passes and the Detailed check is not available. Therefore, the Overall check passes and no warning is given about illogical resultsNo message.

 

Case J:

Global check : idem case B => Global check fails.

Detailed check: Results not available.Overall check: the Global check fails and the Detailed check is not available. Therefore, the Overall result is not available, a detailed check is needed

Overall check: No message.

 

D-Flow Slide results

D-FLOW SLIDE results are in accordance with the results by hand as show in the tables below.

...

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

No

30.000

15.000

-10.000

 

No

30.000

15.000

-10.000

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

6

 

No

6

 

OK

0.00 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

6

Yes

 

Yes

6

Yes

 

OK

0.00 %

OK

Result of the Global check

Pass

Pass

OK

Fictive channel depth Hr [m]19.08719.087 0.00 %
Fictive slope cotan αr  [-]23.00023.000 0.00 % 
Max. allowable retrogression length Lallowable [m]150.000150.0000.00%
Probability of occurence P(ZV) [/km/year] 23.92 × 66 × 10-723.92 × 66 × 10-70.00 %
Reliability index critical length β-39.999 -
Probability P(L > Lallowable) [/year] 0.000.000.00 %
Probability of flood damage by liquefaction P(falen|ZV) [/year]0.000.000.00 %
Allowable probability of failure [/year]2.50 × 10-6 2.50 × 10-60.00 %

Result of the Detailed check 

PassPassOK 
0.00 %Overall resultWarningWarningOK 
 
Results of benchmark 3-1 for case B: 

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

30.000

15.000

-10.000

 

Yes

30.000

15.000

-10.000

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?YesYesOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

6

 

No

6

 

OK

0.00 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

6

Yes

 

Yes

6

Yes

 

OK

0.00 %

OK

Result of the Global check

Fail

Fail

OK

Fictive channel depth Hr [m]21.57121.5710.00 %
Fictive slope cotan αr10.510.50.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 34.95 × 94 × 10-734.95 94 × 10-70.00 %
Reliability index β-1.712-
P(L > Lallowable) [/year] 4.34 × 10-24.34 × 10-20.23 00 %
Probability of flood damage by liquefaction P(falen|ZV) [/year]12.72× 15× 10-81.72 × 10-80.00 %
Allowable probability of failure [/year]2.50 × 10-6 2.50 × 10-60.00 %

Result of the Detailed check 

PassPassOK 
2.15 × 10-80.00 %Overall resultFailFailOK
 
Results of benchmark 3-1 for case C:

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

28.016

15.000

-10.331

 

Yes

28.016

15.000

-10.331

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

Yes

3.901

 

Yes

3.901

 

OK

0.00 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

7.395

Yes

 

Yes

7.395

Yes

 

OK

0.00 %

OK

Result of the Global check

Fail

Fail

OK

Fictive channel depth Hr [m]23.79123.7910.00 %
Fictive slope cotan αr8.4138.4130.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 57.63 04 × 10-857.63 04 × 10-80.00 %
Reliability index β--139.334999 -
P(L > Lallowable) 9.09 × 10-1 [/year] 009.09 × 10-10.00 % 
Probability of flood damage by liquefaction P(falen|ZV) [/year]5.12 × 10-85.12 × 10-80.00 %Allowable probability of failure [/year]2.50 × 10-60 2.50 × 10-60.00 %Result of the Detailed check PassPassOK
Overall resultFailFailOK
 
Results of benchmark 3-1 for case D: 

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

30.000

15.000

-10.000

 

Yes

30.000

15.000

-10.000

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

6

 

No

6

 

OK

0.00 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

6

No

 

Yes

6

No

 

OK

0.00 %

OK

Result of the Global check

Fail

Fail

OK

Fictive channel depth Hr [m]21.5712521.5710.00 %
Fictive slope cotan αr10.50010.5000.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 34.92 90 × 10-734.92 × 90 × 10-70.00 %
Reliability index β-1.712 -
P(L > Lallowable) [/year] 4.34 × 10-24.34 × 10-20.00 % 
Probability of flood damage by liquefaction P(falen|ZV) [/year]12.70 × 13 × 10-812.70 13 × 10-80.00 %Allowable probability of failure [/year]2.50 × 10-6 2.50 × 10-60.00 %

Result of the Detailed check 

PassPassOK
Overall resultPassPassOK
 
Results of benchmark 3-1 for case E:

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

3036.000

15.000

-109.000

 

Yes

3036.000

15.000

-109.000

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

5.000

 

No

5.000

 

OK

0.00 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

5.000

Yes

 

Yes

5.000

Yes

 

OK

0.00 %

OK

Result of the Global check

Fail

Fail

OK

Fictive channel depth Hr [m]25.14325.1430.00 %
Fictive slope cotan αr14140.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 1.44 80 × 10-61.44 80 × 10-60.00 %
Reliability index β-01.234-
P(L > Lallowable) [/year] 51.00 08 × 10-151.00 08 × 10-10.23 00 %
Probability of flood damage by liquefaction P(falen|ZV) [/year]7.18 × 10-7 7.18 × 10-70.18 %Allowable probability of failure [/year]2.50 1.95 × 10-67 2 1.50 95 × 10-670.00 %Result of the Detailed check Pass

Pass

OK 
Overall resultWarning

Warning

OK 

 

Results of benchmark 3-1 for case F:

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

25.352360

15.000

-10.775

 

Yes

25.352360

15.000

-10.775

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

7.099094

 

No

7.100096

 

OK

0.01 03 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

7.100

Yes

 

Yes

7.100

Yes

 

OK

0.00 %

OK

Result of the Global check

Fail

Fail

OK

Fictive channel depth Hr [m]25.87486425.8748640.00 %
Fictive slope cotan αr6.6416466.6416460.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 23.67 33 × 10-723.67 33 × 10-70.00 %
Reliability index β-039.974999-
P(L > Lallowable) 1.65 × 10-1 [/year] 001.65 × 10-10.10 00 %
Probability of flood damage by liquefaction P(falen|ZV) [/year]4.40 × 10-8 4.40 × 10-800.00 %Allowable probability of failure [/year]2.50 × 10-6 2.50 × 10-60.00 %

Result of the Detailed check 

PassPassOK 
Overall resultWarningWarningOK 

 

Results of benchmark 3-1 for case G:

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

2527.352280

15.000

-10.775453

 

Yes

2527.352280

15.000

-10.775453

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

76.099595

 

No

76.100596

 

OK

0.01 02 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

No

76.100600

No

 

No

76.100600

No

 

OK

0.00 %

OK

Result of the Global check

Pass

Pass

OK

Fictive channel depth Hr [m]2519.8743082519.8743080.00 %
Fictive slope cotan αr610.641500610.6415000.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 2.65 30 × 10-72.65 31 × 10-70.00 43 %
Reliability index β-039.974999-
P(L > Lallowable)1.65 × 10-11.65 × 10-10.00 %Probability of flood damage by liquefaction P(falen|ZV) [/year]4.38 × 10-8 004.38 × 10-80.00 %
Allowable probability of failure Probability of flood damage by liquefaction P(falen|ZV) [/year]2.50 × 10-600 2.50 × 10-60.00 %

Result of the Detailed check 

Pass

Pass

OK 
Overall result

Pass

Pass

OK 

 

 

Results of benchmark 3-1 for case H:

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

2527.352280

15.000

-10.775453

 

Yes

2527.352280

15.000

-10.775453

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

76.099596

 

No

76.100596

 

OK

0.01 02 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

No

76.100600

No

 

No

76.100600

No

 

OK

0.00 %

OK

Result of the Global check

Pass

Pass

OK

Fictive channel depth Hr [m]2519.8740382519.8740380.00 %
Fictive slope cotan αr610.641500610.6415000.00 % 
Max. allowable retrogression length Lallowable [m]60600.00 %
Probability of preventing a liquefaction P(ZV) [/km/year] 65.66 80 × 10-465.66 80 × 10-40.00 %
Reliability index β-039.974999-
P(L > Lallowable)1.65 × 10-1 [/year] 001.65 × 10-10.00 %
Probability of flood damage by liquefaction P(falen|ZV) [/year]1.10 × 10-41.10 × 10-40.00 %Allowable probability of failure ) [/year]2.50 × 10-700 2.50 × 10-70.00 %

Result of the Detailed check 

FailFailOK 
Overall result

Warning

Warning

OK 

 

Results of benchmark 3-1 for case I:

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

2527.352280

15.000

-10.775453

 

Yes

2527.352280

15.000

-10.775453

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?NoNoOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

76.099595

 

No

76.100596

 

OK

0.01 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

No

76.100600

No

 

No

76.100600

No

 

OK

0.00 %

OK

Result of the Global check

Pass

Pass

OK

Result of the Detailed check 

Not availableNot availableOK 
Overall result

Pass

Pass

OK 

 

 

Results of benchmark 3-1 for case J: 

 

Benchmark

D-FLOW SLIDE

Relative error

Step 1a:

Would flow slide lead to damage on levee?

Marge [m]

Slope [1:xxx]

Assessment level [m + NAP]

 

Yes

30.000

15.000

-10.000

 

Yes

30.000

15.000

-10.000

 

OK

0.00 %

0.00 %

0.00 %

Step 1c: Artificially underwater installed and non-compacted sandy foreshore?YesYesOK

Step 1d:

Flow slide possible based on criteria "steepest slope aver 5m" ?

Average slope over a height of at least 5 m [1:xxx]

 

No

6

 

No

6

 

OK

0.00 %

Step 1e:

Flow slide possible based on average geometry only?

Total inclination of the channel slope [1:xxx]

Is breaching possible?

 

Yes

6

Yes

 

Yes

6

Yes

 

OK

0.00 %

OK

Result of the Global check

Fail

Fail

OK

Result of the Detailed check 

Not availableNot availableOK Overall resultFailFailOK