水科学进展2013，Vol.24Issue(3)：349-357,9.
改进时间分数阶模型模拟非Fick溶质运移
Tempered time-fractional advection-dispersion equation for modeling non-Fickian transport
摘要
Abstract
This study shows in detail how the classical time fractional advection-dispersion equation (TFADE) can be generalized using the concept of tempering.The generalized TFADE model is then approximated by a new spatiotemporal splitting method,which is computationally more efficient than the classical Eulerian solver due to the logic tempering of the time nonlocal dependence in solute transport.Numerical experiments show that the generalized TFADE model captures a broad range of non-Fickian diffusion,where the tempering parameter λ (which is the inverse of the characteristic time),fractional index γ,and mobile/immobile capacity coefficientβ can control the nuance of transport behavior.The model also efficiently distinguishes the mobile phase from the total phase for solute transport through heterogeneous media,which is critical for practical applications.关键词
改进时间分数阶模型/对流-弥散方程/非Fick溶质运移/拖尾分布/地下水数值模拟Key words
tempered time fractional model/ advection-dispersion equation/ non-Fickian transport/ heavy tail/ groundwater numerical simulation分类
天文与地球科学引用本文复制引用
夏源,吴吉春,张勇..改进时间分数阶模型模拟非Fick溶质运移[J].水科学进展,2013,24(3):349-357,9.基金项目
国家自然科学基金资助项目(41030746 （）
41172207) （）
The study is financially supported by the National Nature Science Foundation of China (No.41030746 （）
No.41172207). （）
