摘要
总结分析近年来重力驱动指流的观测和数学模拟研究的重要进展,指出了亟待解决的关键科学问题:能否找到以传统的多孔介质流体理论为基础的数学模型,来完整地刻画和描述指流;如何建立、完善有关指流新机制和效应的模型,并给出新模型解的性质的理论分析和数值求解方法。指出指流理论和数值模拟方面的突破将打破其对相关学科发展的瓶颈制约,不仅对土壤物理学和水文地质学的基础理论本身,而且对其他相关学科如应用数学、环境资源、农业和生态学等都具有重要的推动作用。
The important advances in the studies on the measurements and mathematical modeling of gravity-driven fingers during last decade were reviewed. Several key seientific problems to be urgently solved in modeling gravity-driven fingers were put forward： whether or not to find mathematical models based on the traditional theories of flows in porous media to completely characterize and depict the gravity-driven fingers, how to establish and improve the models with new mechanisms and effects of gravity-driven fingers, and to propose the relevant analytical and numerical methods for solving these new models. The conclusion is drawn that the breakthrough in the theory of gravity-driven fingers and the technology of numerical simulations will break the bottleneck restriction on the development of the relevant fields. Accordingly, it may give an impetus to the basic theories of soil physics and hydrogeology and also to those of other subjects including applied mathematics, environmental resources, agriculture and ecology, etc.
出处
《水利水电科技进展》
CSCD
北大核心
2010年第2期87-94,共8页
Advances in Science and Technology of Water Resources
基金
国家自然科学基金(40672167)
关键词
重力驱动指流
包气带
数学模型
多孔介质流体理论
gravity-driven finger
vadose zone
mathematical model
theory of fluid in porous media
