TY  - JOUR
U1  - Wissenschaftlicher Artikel
A1  - Heitsch, Holger
A1  - Strogies, Nikolai
T1  - Consequences of uncertain friction for the transport of natural gas through passive networks of pipelines
JF  - Springer
N2  - Assuming a pipe-wise constant structure of the friction coefficient in the modeling of natural gas transport through a passive network of pipes via semilinear systems of balance laws with associated linear coupling and boundary conditions, uncertainty in this parameter is quantified by a Markov chain Monte Carlo method. Information on the prior distribution is obtained from practitioners. The results are applied to the problem of validating technical feasibility under random exit demand in gas transport networks. The impact of quantified uncertainty to the probability level of technical feasible exit demand situations is studied by two example networks of small and medium size. The gas transport of the network is modeled by stationary solutions that are steady states of the time dependent semilinear problems.
AB  - Assuming a pipe-wise constant structure of the friction coefficient in the modeling of natural gas transport through a passive network of pipes via semilinear systems of balance laws with associated linear coupling and boundary conditions, uncertainty in this parameter is quantified by a Markov chain Monte Carlo method. Information on the prior distribution is obtained from practitioners. The results are applied to the problem of validating technical feasibility under random exit demand in gas transport networks. The impact of quantified uncertainty to the probability level of technical feasible exit demand situations is studied by two example networks of small and medium size. The gas transport of the network is modeled by stationary solutions that are steady states of the time dependent semilinear problems.
KW  - uncertainty quantification, Markov chain Monte Carlo, reliability of gas networks, nomination validation, spheric-radial decomposition
Y1  - 2019
SP  - 211
EP  - 238
ET  - Topics in Applied Analysis and Optimisation
ER  -