Constitutive Relations of Solute Transport and Transformation at the Darcy Scale

该项目是一项长期研究工作的一部分，目的是促进对控制污染物、底物和电子受体在达西尺度下的传输和化学命运的因素有更深入的了解，达西尺度实际上是模拟溶质在多孔介质中的传输和化学命运的最小尺度。在达西尺度下，由孔隙、带有生物膜的固体基质等组成的复杂介质被具有本构关系和参数的均匀介质所代替。该项目的方法将是在孔隙尺度上模拟流动、运输和化学转化，然后放大以得出本构方程和参数。因此，所获得的本构方程和参数将符合基本的物理化学原理以及介质的非均质性。其基本目标是推导出在达西尺度下定义的和可测量的量之间的关系。

This project is part of a longer-term research effort to promote a firmer understanding of the factors that control the transport and chemical fate of pollutants, substrates, and electron acceptors at the Darcy scale, in practice the smallest scale for modeling the transport and chemical fate of solutes in porous media. At the Darcy scale, a complex medium consisting of pores, a solid matrix with biofilm, etc. is replaced by a homogenized medium characterized by constitutive relations and parameters. The methodology of the project will be to model flow, transport, and chemical transformations at the pore scale and then to scale up in order to derive constitutive equations and parameters. The constitutive equations and parameters to be obtained will thus be consistent with the fundamental physico-chemical principles as well as the heterogeneity of the medium. The fundamental objective is to derive relations among quantities defined and measurable at the Darcy scale.