Table 9 Sobol sensitivity indices for material parameters.

From: Deep recurrent neural networks for water hammer transient prediction and dynamic protection optimization in long distance pipelines

Parameter

First-order index (S₁)

Total-effect index (ST)

Ranking

Elastic modulus (E)

0.412

0.453

1

Wall thickness (e)

0.387

0.428

2

Friction factor (f)

0.156

0.189

3

Interaction effects

-

0.070

-