Group 3: Benchmarks from spreadsheets
This section uses tests performed by hand or by means of an Excel spreadsheet.
3.1 Test of all possible trajectories of the Global check and the Overall result
Description
This benchmark tests all possible trajectories according to the Global check. Those trajectories are:
Case | Step 1 | Step 3 | Step 4 | Step 5 | Step 6 | Step 7 | Global check | Detailed check | Overall result |
---|---|---|---|---|---|---|---|---|---|
A | No | Pass | Pass | Pass | |||||
B | Yes | Yes | Fail | (not checked because not relevant) | Fail | ||||
C | Yes | No | No | Pass | |||||
D | Yes | No | Yes | Yes | Fail | ||||
E | Yes | No | Yes | No | Yes | Fail | |||
F | Yes | No | Yes | No | No | Yes | Fail | ||
G | Yes | No | Yes | No | No | No | Pass |
For case A, the same input as benchmark 1-1 (see group 1) is used except for the surface line: the length of the foreland is increased to 160 m (instead of 60 m).
For case B, the same input as benchmark 1-1 (see group 1) is used except for the foreland: an artificial instead of a natural foreland is assumed.
For case C, the same input as benchmark 1-1 (see group 1) is used except for xxx: xxx.
For case D, the same input as benchmark 1-1 (see group 1) is used.
For case E, the same input as benchmark 1-1 (see group 1) is used except for xxx: xxx.
Benchmarks results
Hereafter are given the analytical results per case.
Case A:
Global check - Step 1:
Channel depth: H = 15 m
Thickness of the sensitive layer: Hvw = 25 m
Marge = 2 Hvw + 1.5 (H - Hvw) = 35 m
Slope of the observation profile: 1:15
Assessment level: Z = -10 m
XSsign = 85 m
XSzv = 30 m
XSsign > XSzv => Flow slide would not lead to damage on levee => Global check passes.
Detailed check: see table below: Probability of flood damage by liquefaction (= 8.10 × 10-11) < Allowable probability of failure (2.50 × 10-6) => Detailed check passes.
Overall check: as Global and Detailed check pass, the Overall check passes.
Case B:
Global check - Step 1: Same results as benchmark 1-1 (flow slide would lead to damage on levee) => Go to step 3.
Global check - Step 3: The foreland is artificial => Global and Detailed check fail, an Advanced check is needed.
Case C:
Global check - Step 1: Same results as benchmark 1-1 (flow slide would lead to damage on levee) => Go to step 3.
Global check - Step 3: The foreland is natural => Go to step 4.
Global check - Step 4:
D-Flow Slide results
D-FLOW SLIDE results are in accordance with the results by hand as show in the tables below.
Results of benchmark 3-1 for case A
| Benchmark | D-FLOW SLIDE | Relative error |
---|---|---|---|
Marge | 35 | 35 | 0.00 % |
Slope [1:xxx] | 15 | 15 | 0.00 % |
Assessment level | -10 | -10 | 0.00 % |
Step 1: Would flow slide lead to damage on levee? | No | No | OK |
Result of the Global check | Pass | Pass | OK |
Fictive channel depth Hr [m] | 19.087 | 19.087 | 0.00 % |
Fictive slope cotan αr | 23.000 | 23.000 | 0.00 % |
Probability of preventing a liquefaction P(ZV) [/km/year] | 9.14 × 10-7 | 9.14 × 10-7 | 0.00 % |
Reliability index β | 3.749 | 3.748 | 0.03 % |
P(L > Lallowable) | 8.86 × 10-5 | 8.90 × 10-5 | 0.45 % |
Probability of flood damage by liquefaction P(falen|ZV) [/year] | 8.10 × 10-11 | 8.13 × 10-11 | 0.37 % |
Allowable probability of failure [/year] | 2.50 × 10-6 | 2.50 × 10-6 | 0.00 % |
Result of the Detailed check | Pass | Pass | OK |
Overall result | Pass | Pass | OK |
Results of benchmark 1-1 for the Detailed Check
| Unit | Benchmark | D-FLOW SLIDE | Relative error |
---|---|---|---|---|
Fictive channel depth (Hr) | [m] | 21.571 | 21.571 | 0.00 % |
Fictive slope (cotan αr) | [-] | 10.500 | 10.500 | 0.00 % |
Probability of liquefaction | [-] | Not checked | ||
β | [-] | 3.749 | 3.749 | 0.00 % |
P(L > Lallowable) | [-] | Not checked | ||
Probability of failure | [-] | Not checked | ||
Allowable probability of failure | [-] | 2.50 × 1E-06 | 2.50 × 1E-06 | 0.00 % |
Result of Detailed Check |
| Not checked |
Results of benchmark 3-1 for case B
| Benchmark | D-FLOW SLIDE | Relative error |
---|---|---|---|
Marge | 35 | 35 | 0.00 |
Slope [1:xxx] | 15 | 15 | 0.00 |
Assessment level | -10 | -10 | 0.00 |
Step 1: Is liquefaction damaging on basis of geometry? | Yes | Yes | OK |
Step 3: Artificially underwater installed and non-compacted sandy foreshore? | Yes | Yes | OK |
Result of the Global check | Fail | Fail | OK |
Results of benchmark 3-1 for case C
| Benchmark | D-FLOW SLIDE | Relative error |
---|---|---|---|
Marge | 35 | 35 | 0.00 |
Slope [1:xxx] | 15 | 15 | 0.00 |
Assessment level | -10 | -10 | 0.00 |
Step 1: Is liquefaction damaging on basis of geometry? | Yes | Yes | OK |
Step 2: Artificially underwater installed and non-compacted sandy foreshore? | No | No | |
Step 4: Is liquefaction possible on the basis of the geometry? | Yes | Yes | |
Step 5: Are there any sensitive to liquefaction layers present? | No | No | |
Result of the Global check | Passed | Passed |
Results of benchmark 3-1 for case D
| Benchmark | D-FLOW SLIDE | Relative error |
---|---|---|---|
Marge | xxx | xxx | xxx |
Assessment level | xxx | xxx | xxx |
X-coordinate of the observation point Ssign | xxx | xxx | xxx |
X-coordinate of the liquefaction point SZV | xxx | xxx | xxx |
Step 1: Is liquefaction damaging on basis of geometry? | Yes | Yes | |
Step 2: Artificially underwater installed and non-compacted sandy foreshore? | No | No | |
Step 4: Is liquefaction possible on the basis of the geometry? | Yes | Yes | |
Step 5: Are there any sensitive to liquefaction layers present? | Yes | Yes | |
Result of the Global check | Failed | Failed |
Results of benchmark 3-1 for case E
| Benchmark | D-FLOW SLIDE | Relative error |
---|---|---|---|
Marge | xxx | xxx | xxx |
Assessment level | xxx | xxx | xxx |
X-coordinate of the observation point Ssign | xxx | xxx | xxx |
X-coordinate of the liquefaction point SZV | xxx | xxx | xxx |
Step 1: Is liquefaction damaging on basis of geometry? | Yes | Yes | |
Step 2: Artificially underwater installed and non-compacted sandy foreshore? | Yes | Yes | |
Result of the Global check | Failed | Failed |