The data sets provided here contain computer experiments and variational sensitivities for a specific example of a settlement calculation.
The data.frame consTMP consists of computer experiments obtained by a deterministic simulator that
models a consolidation process in a homogeneous cohesive soil layer as a result of the filling of a railroad dam.
Calculations are preformed using the finite element method, whereby the underlying partial differential equations
used to describe the soil characteristics are based on the theory of porous media.
The response analyzed here is the solid vertical displacement disp after 20 days in the middle node at the top of the soil layer,
which depends on four uncertain material parameters, namely the oedometer stiffness stiff, Poisson's ratio poisson, reference mass density mass,
and reference solid volume fraction volume.
The inputs are based on a Latin hypercube sample that has been transformed componentwise to the domains below.
For uncertainty quantification, the following distributions of the inputs can be assumed.
| Input | Domain | Distribution |
| \(\rm E_{oed}\) | \([20, 30]\) | \(\mathcal{LN}(3.198, 0.05211)\) |
| \(\nu\) | \([0.25 0.30]\) | \(\mathcal{U}(0.25 0.30)\) |
| \(\rho_{\rm 0S}^{\rm SR}\) | \([2000, 2500]\) | \(\mathcal{LN}(7.712, 0.02868)\) |
| \(\rm n_{0S}^S\) | \([0.50, 0.65]\) | \(\mathcal{U}(0.50, 0.65)\) |
Note, \(\mathcal{LN}(\mu, \sigma)\) is the log-normal distribution with mean \(\mu\) and standard deviation \(\sigma\) of the logarithm
and \(\mathcal{U}(a,b)\) denotes the continuous uniform distribution over the interval \([a,b]\).
The data.frame consVSA contains the variational sensitivities,
i.e. the partial derivatives of the solid vertical displacement at the inputs in consTPM.
These were determined using the variational sensitivity analysis.