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<p>The seismic analysis of an open water-sediment-foundation-dam (WSFD) system can be decomposed into a free-field problem for an auxiliary system and an interaction problem for a bounded WSFD system. Both of them involve complex wave coupling problems across multiple different media. This study develops a partitioned method and integrates a 2D-3D finite element procedure, based on a generalized saturated porous medium (GSPM) model and a novel localized Lagrange multipliers (LLM) method. The GSPM model fundamentally eliminates multi-solver coupling through a unified representation of heterogeneous media. The novel LLM method enables simultaneous interaction of multiple different media, transcending the inherent limitations in classical fluid-solid interface treatments. In implementation, a more realistic input for the bounded system is provided by computing the free-field for the auxiliary system using the 2D procedure, reducing numerical errors caused by multi-transmitting boundary. The accuracy of the partitioned method is examined through numerical simulations of an idealized dam–2013;reservoir–2013;foundation system, with results compared against those obtained from the direct method. Finally, the effects of sediment and nonlinearity on dam are investigated by augmenting a plastic-damage constitutive module.</p>

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A partitioned method for a water-sediment-foundation-dam system response based on a generalized saturated porous medium model and localized Lagrange multipliers

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • Jiao Zhang,
  • Shaolin Chen,
  • Hongquan Liu,
  • Yanhong Zhang

摘要

The seismic analysis of an open water-sediment-foundation-dam (WSFD) system can be decomposed into a free-field problem for an auxiliary system and an interaction problem for a bounded WSFD system. Both of them involve complex wave coupling problems across multiple different media. This study develops a partitioned method and integrates a 2D-3D finite element procedure, based on a generalized saturated porous medium (GSPM) model and a novel localized Lagrange multipliers (LLM) method. The GSPM model fundamentally eliminates multi-solver coupling through a unified representation of heterogeneous media. The novel LLM method enables simultaneous interaction of multiple different media, transcending the inherent limitations in classical fluid-solid interface treatments. In implementation, a more realistic input for the bounded system is provided by computing the free-field for the auxiliary system using the 2D procedure, reducing numerical errors caused by multi-transmitting boundary. The accuracy of the partitioned method is examined through numerical simulations of an idealized dam–2013;reservoir–2013;foundation system, with results compared against those obtained from the direct method. Finally, the effects of sediment and nonlinearity on dam are investigated by augmenting a plastic-damage constitutive module.