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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 an 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,且线性模型的性能更优。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 critical for hydrology, agriculture, and environmental science. Among various indirect measurement techniques, frequency-domain reflectometry (FDR) soil moisture sensors are low-cost and widely used. To address the problems of difficult field calibration and susceptibility to environmental interference that lead to systematic biases in FDR soil moisture sensors, this study proposes an automatic calibration method based on the ensemble Kalman filter and meteorological data. This method couples the ensemble Kalman filter algorithm with a bias calibration model, uses meteorological data to drive a soil hydrodynamic model, and inverts sensor biases and soil hydraulic parameters as joint variables to be estimated. Outdoor experiments were conducted to systematically evaluate the effects of different bias models and assimilation settings on calibration performance. Uncalibrated sensors exhibited significant systematic biases in soils of different textures. The average statistical results for soil at depths of 10, 20, and 50 cm showed that the average relative error (RE), root mean square error (RMSE), and mean absolute error (MAE) of uncalibrated sensors were 32.7%, 0.045 cm3/cm3, and 0.037 cm3/cm3, respectively. After calibration with the linear model, the average RE, RMSE, and MAE were 18.6%, 0.027 cm3/cm3, and 0.023 cm3/cm3, respectively, while those calibrated with the power function model were 19.2%, 0.029 cm3/cm3, and 0.024 cm3/cm3, respectively. This indicates that both models can improve sensor accuracy, with the linear model achieving superior performance. The optimal assimilation duration was found to be 20–30 days, and the suitable ensemble size ranged from 100 to 150. The proposed method can effectively correct systematic biases without destructive sampling, providing an efficient and low-cost technical solution for soil moisture monitoring.

     

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