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arXiv · 2610.32340

A domain-decomposition reduced-order model for two-phase CO$_2$ 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 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.

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Xin He, Xianda Shen, Lei Zhang. 2026-10-23. A domain-decomposition reduced-order model for two-phase CO$_2$ sequestration with moving wells. https://arxiv.org/abs/2610.32340

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