A new method for estimating the soil-water diffusivity of unsaturated soils based on the Boltzmann transform and the principle of stationary action

IF 5.9 1区 地球科学 Q1 ENGINEERING, CIVIL
Jiwei Li , Geng Niu , Chuanqin Yao , You Gao , Hao Wang
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引用次数: 0

Abstract

Accurately measuring the nonlinear soil–water diffusivity remains a complex and time-consuming task. This study extended a simple method for estimating the soil–water diffusivity of unsaturated soils based on the Boltzmann transform and the principle of stationary action. The power relationship between the Boltzmann transform variable and diffusivity is explicitly expressed, with the corresponding power exponent commonly assigned a value between 1 and 3. By comparing the analytical and numerical results, it was found that the predictions are consistent when the power exponent is taken as 2. The proposed method in this study is more concise and convenient for computation when compared to the existing methods. It directly describes the relationship between the soil–water diffusivity and the water content distribution profiles. The proposed theoretical model has limited predictive ability for certain soil types, such as loam and clay. To improve the methodology, more data from different soil types should be collected in the future to better predict soil–water diffusivity. In conclusion, the method proposed in this paper provides a concise and effective method that will have a wide range of applications in future practice in the fields of soil science, agricultural engineering, and environmental research.
基于波尔兹曼变换和静止作用原理的非饱和土壤水扩散率估算新方法
精确测量非线性土壤水扩散率仍然是一项复杂而耗时的任务。本研究基于波尔兹曼变换和静止作用原理,扩展了一种估算非饱和土壤水土扩散率的简单方法。明确表达了波尔兹曼变换变量与扩散率之间的幂次关系,相应的幂次指数通常取值在 1 到 3 之间。通过比较分析和数值结果,发现当幂指数取为 2 时,预测结果是一致的。与现有方法相比,本研究提出的方法更简洁,计算更方便。它直接描述了土壤水扩散率与含水量分布曲线之间的关系。所提出的理论模型对某些土壤类型(如壤土和粘土)的预测能力有限。为改进该方法,今后应收集更多不同土壤类型的数据,以更好地预测土壤水扩散率。总之,本文提出的方法提供了一种简洁有效的方法,将在未来土壤科学、农业工程和环境研究领域的实践中得到广泛应用。
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来源期刊
Journal of Hydrology
Journal of Hydrology 地学-地球科学综合
CiteScore
11.00
自引率
12.50%
发文量
1309
审稿时长
7.5 months
期刊介绍: The Journal of Hydrology publishes original research papers and comprehensive reviews in all the subfields of the hydrological sciences including water based management and policy issues that impact on economics and society. These comprise, but are not limited to the physical, chemical, biogeochemical, stochastic and systems aspects of surface and groundwater hydrology, hydrometeorology and hydrogeology. Relevant topics incorporating the insights and methodologies of disciplines such as climatology, water resource systems, hydraulics, agrohydrology, geomorphology, soil science, instrumentation and remote sensing, civil and environmental engineering are included. Social science perspectives on hydrological problems such as resource and ecological economics, environmental sociology, psychology and behavioural science, management and policy analysis are also invited. Multi-and interdisciplinary analyses of hydrological problems are within scope. The science published in the Journal of Hydrology is relevant to catchment scales rather than exclusively to a local scale or site.
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