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PreprintCC BY-NC-SA 4.0arXiv

A domain-decomposition reduced-order model for two-phase CO2 sequestration with moving wells

  • Xin He
  • Xianda Shen
  • Lei Zhang
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Abstract

We present a domain-decomposition reduced-order model for two-phase geological CO2 storage with fixed and moving wells. The approach builds on a nonoverlapping Schur formulation of a conservative RT0--P0 discretization solved by a sequential pressure--transport algorithm. The distinctive feature of the formulation is that local reduced models are coupled through physically meaningful interface variables: pressure traces for the pressure solve and inflow saturation traces for the transport solve. To address moving wells, we introduce a well-aware strategy that combines source-response enrichment, HAPOD-based far-field compression, and hybrid full-order/reduced-order treatment of well and near-well subdomains. We also formulate conservation-oriented hyper-reduction rules where interface fluxes, boundary terms and source terms are protected. Numerical results are presented to demonstrate accuracy, computational efficiency, robustness of the overall methodology.

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Cite

BibTeXRIS
BibTeX
@misc{he2026domaindecomposition,
  title = {{A domain-decomposition reduced-order model for two-phase CO$_2$ sequestration with moving wells}},
  author = {Xin He and Xianda Shen and Lei Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32340},
  eprint = {2610.32340},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32340},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - A domain-decomposition reduced-order model for two-phase CO_2 sequestration with moving wells
AU  - Xin He
AU  - Xianda Shen
AU  - Lei Zhang
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32340
UR  - https://arxiv.org/abs/2610.32340
AB  - We present a domain-decomposition reduced-order model for two-phase geological CO_2 storage with fixed and moving wells. The approach builds on a nonoverlapping Schur formulation of a conservative RT0--P0 discretization solved by a sequential pressure--transport algorithm. The distinctive feature of the formulation is that local reduced models are coupled through physically meaningful interface variables: pressure traces for the pressure solve and inflow saturation traces for the transport solve. To address moving wells, we introduce a well-aware strategy that combines source-response enrichment, HAPOD-based far-field compression, and hybrid full-order/reduced-order treatment of well and near-well subdomains. We also formulate conservation-oriented hyper-reduction rules where interface fluxes, boundary terms and source terms are protected. Numerical results are presented to demonstrate accuracy, computational efficiency, robustness of the overall methodology.
ER  -