Cristin-resultat-ID: 1306171
Sist endret: 28. september 2016 10:49
NVI-rapporteringsår: 2015
Resultat
Vitenskapelig artikkel
2015

Stochastic Galerkin Formulations for CO2 Transport in Aquifers: Numerical Solutions with Uncertain Material Properties

Bidragsytere:
  • Per Pettersson

Tidsskrift

Transport in Porous Media
ISSN 0169-3913
e-ISSN 1573-1634
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2015
Publisert online: 2015
Trykket: 2016
Volum: 114
Hefte: 2
Sider: 457 - 483

Importkilder

Scopus-ID: 2-s2.0-84944710522

Beskrivelse Beskrivelse

Tittel

Stochastic Galerkin Formulations for CO2 Transport in Aquifers: Numerical Solutions with Uncertain Material Properties

Sammendrag

A stochastic Galerkin formulation for the transport of CO2 in a tilted aquifer with uncertain heterogeneous properties is presented. We consider a simplified physics model assuming capillary pressure to be negligible compared to hydrostatic and viscous pressure. The flow is dominated by buoyancy and capillary trapping. We assume a stochastic permeability field and a stochastic model for the uncertain relative permeabilities. We prove that the proposed stochastic Galerkin formulation results in a hyperbolic system of equations, and we devise a numerical method that captures the expected solution discontinuities. The shock-capturing solver for the flux function is combined with an adaptive quadrature method for discontinuous isosurfaces that is used to compute the discontinuous stochastic accumulation coefficient. The stochastic solver is validated against Monte Carlo sampling of an analytical solution for the deterministic problem. The sharp features of the statistics of the solution are accurately captured by the numerical solver. The polynomial chaos framework admits low-cost post-processing of the output to obtain statistics of interest. By construction of an accurate polynomial chaos surrogate model of the output, fast sampling admits calculation of risk for leakage and failure probabilities.

Bidragsytere

Per Pettersson

  • Tilknyttet:
    Forfatter
    ved NORCE Energi ved NORCE Norwegian Research Centre AS
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