摘要
利用充填溶洞的数字模型,建立了以Navier-Stokes方程为控制方程的N-S模型,模拟溶洞内流体的流动,并将模拟结果同渗流模型进行了对比分析。得出结论:溶洞内流体流动为层流时,可以利用达西渗流模型进行近似模拟,过渡流或紊流时,则可用Forchheimer非线性渗流模型近似模拟。对于溶洞内部流体的流动,N-S模型的模拟结果同渗流模型的模拟结果是类似的。这说明,缝洞流同渗流在本质上是统一的。这种统一性,可以利用管流理论进行解释。
Navier-Stokes equation is used to describe the fluid flow in fracture-cave reservoirs, named as N-S model here, which is established via using filled karst cave digital model. According to the analysis and comparison with seepage model, It was concluded that laminar flow in caves can be described with Darcy Law, while turbulent flow can be described with Forchheimer equation which is used to model nonlinear seepage. The simulated results of seepage model are similar to that of N-S Model. Fluid flow mechanics in fracture-cave reservoirs is the same as that in porous media, which can be explained with pipe flow mechanics.
出处
《长江科学院院报》
CSCD
北大核心
2009年第B10期42-45,共4页
Journal of Changjiang River Scientific Research Institute
基金
国家重点基础研究计划(973计划)项目(2006CB202400)