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透射式探地雷达探测土壤含水率

         

摘要

探地雷达可以进行土壤含水率的快速探测,但普通反射式雷达容易受反射层位难确定的影响造成探测误差。该研究使用透射式探地雷达对不饱和含水壤土及砂土所构建的物理模型进行透射式探测,通过起跳时间对比标定的方法,精确计算了介质中雷达波波速和土壤的相对介电常数。最后通过统计分析,发现以 Topp 模型公式形式为基础的三次多项式具有最高拟合优度,并修正了 Topp 公式中的参数后,分别建立起非饱和壤土和砂土体积含水率与介电常数的经验公式及其适用范围。最后,通过试验对比验证了该方法对砂土含水率的测量相对误差为13.20%,较时域反射TDR(time domain reflectometry)方法低14.34%,壤土为9.48%,较TDR方法低15.79%,测量精度明显高于TDR方法。因此该方法可替代TDR方法用于特定条件下土壤含水率的准确检测。%Land reclamation requires the monitoring of soil moisture in order to ensure that the soil moisture meets crop growth needs. Traditionally, soil moisture is detected by destructively sampling soils, which is costly and associated with long work periods. Ground penetrating radar (GPR) technique is often used since it is fast, convenient, and nondestructive. GPR launches and receives high-frequency electromagnetic waves via antennae in detection of underground media. By calculating wave velocities, dielectric constants can be obtained. General GPR hardware and detection methods are based on reflector-type antennae. The transmitting antenna and the receiving antenna are both arranged on the surface of the media. Because of this, the reflected waves from different underground layers can mix together, causing errors in the calculation of wave velocity. The computed tomography (CT) transmission-type GPR technique is different from the reflector-type technique. Its transmitting antenna and receiving antenna are located on both sides of the media during the detection. The multiple reflected waves using the reflector-type GPR detection can recede effectively. Thus, the wave velocity can be calculated much more precisely, and thereby, the estimation of moisture content is more accurate. In this study, a 900 kHz transmitting antenna was improved for the CT GPR detection, and a physical model was established to simulate loam and sandy soil with different unsaturated moisture content in order to test the possibility of the CT GPR for soil moisture detection. After the take-off point was selected, the absolute take-off time and apparent take-off time were calculated. The difference of both was considered as actual wave travel time. According to the formula, wave velocity = wave velocity in air / root of dielectric constant, the dielectric constant could be calculated. Different models including the linear regression model, quadratic polynomial model, exponential function model, logarithmic function model, and cube polynomial model were established to describe the relationship between the dielectric constant and volumetric moisture content. Based on the determination coefficient and error, the best model was selected and used for soil moisture detection in a verification experiment. In the verification experiment, the soil samples were taken from Inner Mongolia of China and detected by the TDR and oven-drying method. The results showed that the cube polynomial in the same form as the Topp equation had the best goodness-of-fit. The equation used for sandy soil samples detection yielded closer detection results (R2=0.982) with the oven-drying method than with the TDR method (R2=0.867). The equation used for loam soil samples detection yielded closer detection results (R2=0.987) as well. This indicated that it is possible to use these relation models for accurate estimation of moisture contents of sandy soil and loam soil. For determination of moisture content in sandy soils, the relative error averaged 13.20% using the proposed method here, which was 14.34% lower than that from the TDR method. For determination of moisture content in loam soils, the relative error averaged 9.48% using the proposed method here, 15.79% lower than that from the TDR method. It suggested that the measurement accuracy of the proposed method is higher than that from the TDR method. Therefore, the CT GPR detection for soil moisture content can be an alternative method of TDR under certain conditions of soil moisture.

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