Hydraulic‐Head Formulation for Density‐Dependent Flow and Transport
Hydraulic‐Head Formulation for Density‐Dependent Flow and Transport
复制标题
用于密度相关流动和传输的液压头配方
作者：
C. Langevin;Sorab Panday;A. Provost
沿海盐水入侵调查的密度相关流动和输运解决方案，深层盐水的流体注入分析，以及对流指进和密度较低的流体移动通过密度较低的流体的不稳定性的研究通常以压力或等效淡水水头的形式制定地下水流方程。作为一种替代方案，这里提出了一个公式的流量方程的水头。水力水头公式可以通过避免在代码中转换淡水水头和水力水头以及通过将密度相关项作为代码已经执行的恒定密度计算的分区“校正”来促进现有恒定密度地下水流代码的调整，以包括密度驱动流。水力水头公式也比淡水水头公式更容易适应诸如无压地下水流和牛顿-拉夫逊解方案等复杂性。仿真结果给出了使用MODFLOW中的水头公式实现解决的四个示例问题。
Density‐dependent flow and transport solutions for coastal saltwater intrusion investigations, analyses of fluid injection into deep brines, and studies of convective fingering and instabilities of denser fluids moving through less dense fluids typically formulate the groundwater flow equation in terms of pressure or equivalent freshwater head. A formulation of the flow equation in terms of hydraulic head is presented here as an alternative. The hydraulic‐head formulation can facilitate adaptation of existing constant‐density groundwater flow codes to include density‐driven flow by avoiding the need to convert between freshwater head and hydraulic head within the code and by incorporating density‐dependent terms as a compartmentalized “correction” to constant‐density calculations already performed by the code. The hydraulic‐head formulation also accommodates complexities such as unconfined groundwater flow and Newton‐Raphson solution schemes more readily than the freshwater‐head formulation. Simulation results are presented for four example problems solved using an implementation of the hydraulic‐head formulation in MODFLOW.