A poro-viscoelastic substitute model of fine-scale poroelasticity obtained from homogenization and numerical model reduction
A poro-viscoelastic substitute model of fine-scale poroelasticity obtained from homogenization and numerical model reduction
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DOI：
10.1007/s00466-019-01808-x
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发表时间：
2020-01
影响因子：
4.1
通讯作者：
R. Jänicke;F. Larsson;K. Runesson
中科院分区：
文献类型：
--
作者：
R. Jänicke;F. Larsson;K. Runesson
数值模型降阶是利用计算均匀化的模型问题的多孔弹性介质在瞬态条件下。假定位移场和孔隙水压力场具有宏观和次尺度（波动）两部分。利用POD方法构造了一个线性无关的亚尺度压力场缩减基。相应的减少位移场的基础上构造的NTFA战略的精神。定义一个明显的孔隙粘弹性宏观尺度模型的演化方程得到的连续性方程有关的RVE。本模型是文献中模型的一个扩展，在这个意义上，压力梯度被允许有一个非零的宏观尺度组件在nestedsetting。数值结果表明，数值模型降阶的结果与直接数值模拟的结果吻合良好。它还表明，即使是三维RVE给听话的解决方案的时间full-fledcomputations。
Numerical model reduction is exploited for computational homogenization of the model problem of a poroelastic medium under transient conditions. It is assumed that the displacement and pore pressure fields possess macro-scale and sub-scale (fluctuation) parts. A linearly independent reduced basis is constructed for the sub-scale pressure field using POD. The corresponding reduced basis for the displacement field is constructed in the spirit of the NTFA strategy. Evolution equations that define an apparent poro-viscoelastic macro-scale model are obtained from the continuity equation pertinent to the RVE. The present model represents an extension of models available in literature in the sense that the pressure gradient is allowed to have a non-zero macro-scale component in the nestedsetting. The numerical results show excellent agreement between the results from numerical model reduction and direct numerical simulation. It was also shown that even 3D RVEs give tractable solution times for full-fledgedcomputations.