Relationship between thermal and electrical conductivity curves of soils with a unimodal pore size distribution: Part 1. A unified series-parallel resistor model
Relationship between thermal and electrical conductivity curves of soils with a unimodal pore size distribution: Part 1. A unified series-parallel resistor model
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DOI：
10.1016/j.geoderma.2023.116420
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发表时间：
2023-04
期刊：
影响因子：
6.1
通讯作者：
Lin Liu;Weiliu Li;Yili Lu;T. Ren;R. Horton
中科院分区：
文献类型：
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作者：
Lin Liu;Weiliu Li;Yili Lu;T. Ren;R. Horton
土壤热导率（λ）和电导率（σ）表征通过土壤的热传导和电传导。λ和σ受土壤含水量（θ）、质地、容重（ρB）、温度、结构和有机质含量等相似因素的影响。关于λ和σ之间的定量关系，以及土壤质地和ρ b如何改变这种关系，人们知之甚少。在这一部分中，我们研究了λ（θ）和σ（θ）曲线之间的相关性，并提出了一个新的模型，归一化σ曲线的土壤具有单峰孔径分布。我们引入欧姆定律类比来概念性地描述λ和σ曲线，基于立方细胞单元模型。通过考虑水化、水化和连续液相区的热传导和电传导途径（固体、固-液和液相途径），建立了考虑θ和ρ效应的串并联电阻统一模型。利用热TDR传感器同时测量两种土壤上的θ、λ和σ，考察了不同ρ波段θ值下的模型性能。模拟和测量的λ（θ）和σ（θ）曲线提供了一致的趋势，归一化的λ和σ值与饱和度的关系证实了早期报道的函数之间的“镜像”现象的存在。
Soil thermal conductivity (λ) and electrical conductivity (σ) characterize heat and electricity conduction through soils. Both λ and σ are affected by similar factors, such as soil water content (θ), texture, bulk density (ρb), temperature, structure, and organic matter content. Little is known about the quantitative relationship between λ and σ, and how soil texture and ρbmodify the relationship. In this part one of a two-part series, we examine the correlation between λ(θ) and σ(θ) curves and develop a new model for normalized σ curves of soils with a unimodal pore size distribution. We introduce an Ohm’s law analogy to describe the λ and σ curves conceptually, based on a cubic cell unit model. A unified series–parallel resistor model considering θ and ρbeffects is established for both λ(θ) and σ(θ) curves by considering heat and electrical conduction pathways (solid, solid–liquid, and liquid pathways) in the hydration, menisci, and continuous liquid ranges. Simultaneous measurements of θ, λ and σ with thermo-TDR sensors on two soils are used to examine the model performance at various values of ρband θ. The modeled and measured λ (θ) and σ (θ) curves provide consistent trends, and the normalized λ and σ values vs. degree of saturation confirm the existence of an earlier reported “mirror image” phenomenon between the functions.