Abstract Experimental evidence points to an intimate link between soil reflectance, R, and particle/aggregate diameter, D. Based on this strong correlation, various statistical methods for remote and proximal sensing of soil texture and hydraulic properties have been developed. In this paper, we derive a more fundamental and physically-based analytical radiative transfer model that yields a closed-form functional R(D) relationship for dry soils. Despite several simplifying assumptions, the proposed model shows good agreement with measured spectral reflectance (350–2500 nm) data of six soils covering a broad range of textures, colors, and mineralogies. The proposed S-shaped R(D) function resembles cumulative particle and pore size distributions as well as the soil water characteristic function. These analogies may potentially lead to new avenues for developing novel physical models for extracting important soil properties from remotely sensed reflectance data.

中文翻译：

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由分析辐射传递模型解释的粒度对土壤反射率的影响

摘要 实验证据表明土壤反射率 R 和颗粒/集料直径 D 之间存在密切联系。基于这种强相关性，已经开发了各种用于土壤质地和水力特性的远程和近端传感的统计方法。在本文中，我们推导出了一个更基本和基于物理的分析辐射传输模型，该模型为干燥土壤生成了一个封闭形式的函数 R(D) 关系。尽管有几个简化的假设，但所提出的模型与涵盖广泛的质地、颜色和矿物学的六种土壤的测量光谱反射率 (350-2500 nm) 数据显示出良好的一致性。建议的 S 形 R(D) 函数类似于累积颗粒和孔径分布以及土壤水分特征函数。