论文标题
毛弹性网络模型的哈米尔顿港公式
Port-Hamiltonian formulations of poroelastic network models
论文作者
论文摘要
我们研究了两场孔隙弹性模型的基于能量的公式以及在地球科学或医疗应用中出现的相关多项网络模型。我们提出了系统方程式的哈米尔顿港公式，这对于在离散化或降低模型订单后保留重要的系统属性是有益的。为此，我们包括通常省略的二阶项，并考虑相应的一阶配方。然后，（正式）设置二阶项零，获得了准静态情况的港口式公式。此外，我们将毛弹性方程式解释为子模型网络与内部能量的互连，从而增加了对毛弹性方程的控制理论理解。
We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications. We propose a port-Hamiltonian formulation of the system equations, which is beneficial for preserving important system properties after discretization or model-order reduction. For this, we include the commonly omitted second-order term and consider the corresponding first-order formulation. The port-Hamiltonian formulation of the quasi-static case is then obtained by (formally) setting the second-order term zero. Further, we interpret the poroelastic equations as an interconnection of a network of submodels with internal energies, adding a control-theoretic understanding of the poroelastic equations.
