经典BRUTSAERT模型应用于土壤水分检测的适用性探讨

    Applicability of BRUTSAERT’s model in soil moisture detection

    • 摘要: BRUTSAERT理论模型是非饱和土壤介质中弹性波传播的理论模型,主要用于描述声波纵波声速与农业土壤饱和度之间的关系。为探究BRUTSAERT理论模型应用在土壤水分检测中的可行性,该研究系统介绍了BRUTSAERT理论模型,分析了其在土壤含水量检测中的适用条件,并在经典BRUTSAERT模型中引入了适当的简化和假设,推导出在不同物理条件下各农业土壤的纵波声速值与土壤水分关系曲线,以及进行土壤声速测量的合适声频。结果表明,1)当声波发射器和拾音器之间的距离为0.2 m时,且声波频率范围固定在380~708 Hz之间,在任何土壤类型中BRUTSAERT理论模型都是有效的。2)前人关于BRUTSAERT模型中复合流体体积模型公式存在争议,该研究表明复合流体体积模型的定义公式不会对其结果产生大的影响。3)经典BRUTSAERT模型中土壤泊松比为固定值(0.20),然而干燥土壤和饱和土壤之间的泊松比有明显差异,对于非饱和多孔集料(如土壤和砂土),使用固定且与饱和度无关的泊松比是值得怀疑的。该研究可为BRUTSAERT理论模型在土壤水分检测领域的应用研究提供参考。

       

      Abstract: The acoustic detection technology has shown its advantage in the field of soil moisture detection. The recent soil moisture detection methods mainly rely on the acoustic-based strategy, which explores the influence of the unsaturated soil moisture content on the pressure wave velocity (PWV) and the attenuation coefficient and analyzes the impact of soil moisture content on the acoustic parameters. It focuses on modeling the soil moisture content and the acoustic parameters. However, the agricultural soil holds the complicated components and has many types. Moreover, it exists the unmatched spatial-temporal distribution, causing that the structural and initial saturation of the soil is undetermined. Hence, these existing methods have challenges, giving rise to the unreliable results. The BRUTSAERT’s model is such a theoretical model that demonstrates the propagation of elastic waves in the unsaturated soil. It mainly focuses on the relationship between PWV and the soil saturation. In BRUTSAERT’s model, different soil textures result in difference of both PWV and soil saturation. Yet, it avoids the negative impact of soil structural and initial saturation on the model. Inspired by this, this study theoretically analyzed: 1) the application condition with inertia viscosity coefficient of soil was less than 1, and the sound wave frequency≤708 Hz was suitable for any soil texture, which can be viewed as a superior; 2) the propagation of the sound waves in soil should be approximate to a plane, and this resulted in a lower boundary. The minimum frequencies of sound waves were 796, 380, 266, 199, and 160 Hz when the distances between the sound wave transmitter and the acoustic adapter were 0.1, 0.2, 0.3, 0.4, and 0.5 m. Besides, the relationships between PWV and the soil moisture, with different conditions were discussed. BRUTSAERT indicated that the speed of sound wave propagation in soil relied on tree aspects: the total density of the measured soil, soil stress, and the soil particle gap parameter. This stduy proved that the three aspects were related to the saturation degree of the liquid. Based on this, the BRUTSAERT model was simplified. In addition, BRUTSAERT might hold the so called “writing errors” caused by bulk modulus of fluid mixture. Nevertheless, this study explored the impact of the vanilla BRUTSAERT with the fixed soil Poisson's ratio on the prediction results. In the vanilla BRUTSAERT’s model, no matter how the soil texture or saturation changed, the Poisson's ratio was always a fixed value with 0.2. Obviously, the vanilla BRUTSAERT model did not consider the impact of using the fixed Poisson's ratio on the predicted results. Based on this, the study reported results related to Poisson’s ratio, and the concluded results show that there is a significant difference of Poisson's ratio between the dry soil and the saturated soil were summarizes and concludes. We found that it is questionable to use a fixed and saturation independence-Poisson's ratio for unsaturated porous aggregates such as soil and sand.

       

    /

    返回文章
    返回