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h1. Group 2: Benchmarks from literature (approximate solution)

This section uses the results of a by-hand calculation performed for three profiles of the Spui dike project (see figure below):
* km 63.9 (Nieuw Beijerland)
* km 65.0 (between Oud Beijerland and Nieuw Beijerland)
* km 67.8 (Oud Beijerland)

!Dwarsprofielen Spui.bmp|width=1000!

As the details of the calculation performed by hand are not available, those benchmarks are set in group 2.

h2. 2.1. Spui dike at km 63.9 (Nieuw Beijerland)

h5. Description

The dike profile at hmp 63.9 is given in the figure below.
!Profile km 63-9.bmp|width=1000!

The soil profile and the material properties are given in the following table:
|| Level top layer (m NAP) || Material || Formation || Material sensitive to liquefaction || D{~}r~ (%) || n (%) || n{~}min~ (%) || n{~}max~ (%) || Gamma ~unsat~ (kN/m{^}3^) || Gamma{~}sat~ (kN/m{^}3^) || Gamma ~grains~ (kN/m{^}3^) || D{~}50~ (mm) || D{~}15~ (mm) || Phi (deg) || c (kPa) || Eps{~}voldm0~ || s{~}max~ || s{~}2~ || k{~}so~ (kN/m{^}2^) || m || r || u || v ||
| Grond level | Clay | Dunkirk / anthropogenic | No | | | | | 18 | 18 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-0.5 | Clay/Sand | Dunkirk | No | | | | | 18 | 18 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-6.5 | Peat | Holland | No | | | | | 10 | 10 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-7.5 | Clay | Calais | No | | | | | 18 | 18 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-8.5 | Sand clayey/Sand | Calais | Yes | 35 | 45 | 36.5 | 49.5 | 19 | 19 | 26.5 | 0.160 | 0.080 | 25 | 0 | 0.000444 | 1.575 | 1.2 | 43.2 | 3 | 7 | 1.2 | 1 |
| \-9.5 | Sand | Calais | Yes | 30 | 45.6 | 36.5 | 49.5 | 20 | 20 | 26.5 | 0.160 | 0.080 | 30 | 0 | 0.000325 | 1.55 | 1.2 | 41.6 | 3 | 7 | 1.2 | 1 |
| \-12.5 | Sand | Calais | Yes | 25 | 46.3 | 36.5 | 49.5 | 20 | 20 | 26.5 | 0.160 | 0.080 | 30 | 0 | 0.000238 | 1.525 | 1.2 | 40 | 3 | 7 | 1.2 | 1 |
| \-18 | Sand | Pleistocene | Yes | 60 | 41.7 | 36.5 | 49.5 | 20 | 20 | 26.5 | 0.160 | 0.080 | 35 | 0 | 0.00212 | 1.7 | 1.2 | 51.2 | 3 | 7 | 1.2 | 1 |

The other calculation parameters used are:
* Water level: 0.9 m
* Required probability of failure of the dike: 1:4000
* Percentage probability of failure byliquefaction: 1 %
* Model factor: 1
* Area ratio (c = A2/A1): 1.4
* Standard deviation cot(gamma): 4.6
* Considered dike length: 100 m

h5. Benchmark results

According to the by hand calculation, both Global and Advanced checks fail.

h5. *D-FLOW SLIDE* results

*D-FLOW SLIDE* results are in accordance with the results by hand as show in the table below.
|| Method || Benchmark || D-FLOW SLIDE || Relative error ||
| Global check | Failed | Failed | (+) |
| Detailed check | Failed | Failed | (+) |

h2. 2.2. Spui dike at km 65.0 (between Oud Beijerland and Nieuw Beijerland)

h5. Description

The dike profile at km 65.0 is given in the figure below.
!Profile km 65-0.bmp|width=1000!

The soil profile and the material properties are the same as for the profile at km 63.9 (see paragraph 2.1).

h5. Benchmark results

According to the by hand calculation, both Global and Advanced checks pass.

h5. *D-FLOW SLIDE* results

*D-FLOW SLIDE* results are in accordance with the results by hand as show in the table below.
|| Method || Benchmark || D-FLOW SLIDE || Relative error ||
| Global check | Passed | Passed | (+) |
| Detailed check | Passed | Passed | (+) |


h2. 2.3. Spui dike at km 67.8 (oud Beijerland)

h5. Description

The dike profile at km 67.8 is given in the figure below.
!Profile km 67-8.bmp|width=1000!
The soil profile and the material properties are given in the following table:
|| Level top layer (m NAP) || Material || Formation || Material sensitive to liquefaction || D{~}r~ (%) || n (%) || n{~}min~ (%) || n{~}max~ (%) || Gamma{~}unsat~ (kN/m{^}3^) || Gamma{~}sat~ (kN/m{^}3^) || Gamma{~}grains~ (kN/m{^}3^) || D{~}50~ (mm) || D{~}15~ (mm) || Phi (deg) || c (kPa) || Eps{~}voldm0~ || s{~}max~ || s{~}2~ || k{~}so~ (kN/m{^}2^) || m || r || u || v ||
| Grond level | Clay | Dunkirk / anthropogenic | No | | | | | 18 | 18 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-0.5 | Clay/Sand | Dunkirk | No | | | | | 18 | 18 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-4 | Peat | Holland | No | | | | | 10 | 10 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-5 | Clay | Calais | No | | | | | 18 | 18 | 26.5 | | | 25 | 0 | | | | | | | | |
| \-6 | Sand | Calais | Yes | 20 | 46.9 | 36.5 | 49.5 | 20 | 20 | 26.5 | 0.160 | 0.080 | 30 | 0 | 0.000174 | 1.5 | 1.2 | 38.4 | 3 | 7 | 1.2 | 1 |
| \-20 | Sand | Pleistocene | Yes | 60 | 41.7 | 36.5 | 49.5 | 20 | 20 | 26.5 | 0.160 | 0.080 | 35 | 0 | 0.00212 | 1.7 | 1.2 | 51.2 | 3 | 7 | 1.2 | 1 |

h5. Benchmark results

According to the by hand calculation, the Global check fails and the Advanced check passes.

h5. *D-FLOW SLIDE* results

*D-FLOW SLIDE* results differ from the results by hand for the Detailed check, as show in the table below.
|| Method || Benchmark || D-FLOW SLIDE || Relative error ||
| Global check | Failed | Failed | (+) |
| Detailed check | Passed | Failed | (-) |