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基于数据同化的FDR土壤水测量校准方法构建与验证

Development and validation of the automatic calibration method for FDR soil moisture measurement based on data assimilation

  • 摘要: 准确测量土壤湿度对于水文、农业和环境科学至关重要。在众多间接测量方法中,频域反射法(frequency-domain reflectometry,FDR)土壤水分传感器成本低、应用广。该研究针对FDR土壤水分传感器田间标定困难且易受环境干扰产生系统性偏差的问题,提出一种基于集合卡尔曼滤波和气象数据的自动校准方法,该方法耦合集合卡尔曼滤波算法(ensemble Kalman filter,EnKF)与偏差校准模型,利用气象数据驱动土壤水动力学模型,将传感器偏差与土壤水力参数作为联合待估变量进行反演。通过室外试验,系统评估了不同偏差模型及同化设置对校准性能的影响。未校准传感器在不同质地土壤中均存在显著系统偏差,10、20、50 cm深度土壤的平均统计结果显示,未校准传感器的平均RE(relative error)、RMSE(root mean square error)和MAE(mean absolute error)分别为32.7%、0.045 cm3/cm3和0.037 cm3/cm3,线性模型校准后的平均RE、RMSE和MAE分别为18.6%、0.027 cm3/cm3和0.023 cm3/cm3,幂函数模型校准后的平均RE、RMSE和MAE分别为19.2%、0.029 cm3/cm3和0.024 cm3/cm3,说明两种模型均能提高传感器的精度,其中,线性模型的各项指标略低于幂函数模型。研究发现最优同化时长为20~30 d,适宜集合规模为100~150。该方法无需破坏性采样即可有效修正系统偏差,为土壤墒情监测提供了高效低成本的技术方案。

     

    Abstract: Accurate measurement of soil moisture is often required for hydrology, agriculture, and environmental science. Frequency-domain reflectometry (FDR) has been widely used during indirect measurement due to the available soil moisture sensors. However, the measurement biases are attributed to the susceptibility of field calibration to environmental interference. This study aims to calibrate soil moisture under FDR measurement using data assimilation. A robust framework of data assimilation was also presented to integrate the ensemble Kalman filter (EnKF) with in-situ meteorological data. The EnKF was combined with different models of bias calibration. Specifically, the meteorological observation data were employed to drive a physics-based one-dimensional soil hydrodynamic model. The dynamic migration and distribution of soil moisture were simulated within the soil profile. The unknown sensor bias parameters and inherent soil hydraulic properties were treated as joint state variables to be estimated in the data assimilation system. These variables were simultaneously inverted and continuously updated during the iterative EnKF assimilation, which effectively constrained sensor observations with hydrological physical laws. The outdoor experiments were conducted to verify the universality and performance of the calibration. Soil moisture data were collected at three specific depths of 10, 20, and 50 cm below the soil surface. A systematic evaluation was conducted to compare the performance of two bias correction structures, namely the linear and the power function bias model. Meanwhile, extensive sensitivity analysis was performed to explore the effects of assimilation parameters on the overall calibration efficacy. Experimental results demonstrate that the uncalibrated FDR sensors exhibited significant systematic biases in soils of different textures. Statistical analysis showed that the uncalibrated sensor measurements shared a high average relative error (RE) of 32.7%, an average root mean square error (RMSE) of 0.045 cm3/cm3, and an average mean absolute error (MAE) of 0.037 cm3/cm3. Calibration models significantly improved the measurement accuracy of the sensors after data assimilation. Once the linear bias calibration model was used, the average RE was drastically reduced to 18.6%, and the RMSE and MAE decreased to 0.027 and 0.023 cm3/cm3, respectively. When the power function bias model was adopted, the average RE, RMSE, and MAE were 19.2%, 0.029 cm3/cm3, and 0.024 cm3/cm3, respectively. The statistical indicators revealed that the linear calibration model delivered superior performance, stronger overall stability, and higher physical authenticity, where the systematic errors were effectively reduced after comparison. Furthermore, the critical thresholds of EnKF parameters were determined for the optimal performance: An assimilation duration of 20 to 30 days can provide the optimal data window to capture sufficient soil moisture dynamics, and the optimal ensemble size was between 100 and 150 members. In summary, the systematic biases can be effectively corrected without sampling. The finding can also provide an efficient and low-cost technical solution for soil moisture monitoring.

     

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