刘梦茹, 程大伟, 卢玉东.考虑蒸发锋面的包气带一维液相运动方程解析解Journal of Water Resources and Water Engineering[J].,2019,30(1):40-45 |
考虑蒸发锋面的包气带一维液相运动方程解析解 |
Analytical solution of one dimensional fluid phase motion equation in unsaturated zone considering evaporation front |
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DOI:10.11705/j.issn.1672-643X.2019.01.07 |
中文关键词: 包气带 Gardner模型 蒸发锋面 液相运动方程; 解析解 |
英文关键词: unsaturated zone Gardner model drying front fluid phase motion equation analytical solution |
基金项目:国家自然科学基金项目(41602237) |
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中文摘要: |
为分析包气带中液态水运移的基本规律,基于相对渗透系数模型中的Gardner模型求解扩散度,在考虑蒸发锋面的基础上推导了包气带一维液相运动方程的解析解,建立了蒸发锋面深度模型、均质土及成层土的水力连续区有效饱和度剖面模型、水力参数反演模型。研究结果表明:稳态流下非饱和土的有效饱和度剖面受比流量q、Gardner模型参数αg及下边界负压水头h的影响;在成层土中上层土的有效饱和度剖面及蒸发锋面深度受下部土层透水性的影响;参数反演分析证明了液相运动方程解析解的可靠性。 |
英文摘要: |
To effectively analyze characteristics of fluid phase in unsaturated zone, this paper solved the diffusance based on Gardner model for relative hydraulic conductivity, deduced the analytical solution for one dimensional fluid phase motion equation in unsaturated zone, and proposed the evaporation front depth model, the effective saturation profile model of hydraulic connection area between the homogeneous and layered soils, and the hydraulic parameters inversion calculation model. The results showed that the effective saturation profile of unsaturated soil under steady flow is affected by specific discharge q, Gardner model parameters αg and the variabilities of water head of the lower boundary h. The effective saturation profile and evaporative front depth of upper soil in stratified soil are affected by the permeability of lower soil. Parameter inversion analysis verifies the reliability of analytical solution of liquid phase motion equation. |
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