考虑土壤温度垂向作用的潜水蒸发实验及改进公式

Experimental validation of empirical formulas incorporating vertical soil temperature dynamics for phreatic evaporation

  • 摘要: 潜水蒸发过程是地表地下水垂向交互的关键纽带,准确量化潜水蒸发量对淮北平原浅层地下水资源评价至关重要。本文利用五道沟实验站2010—2019年大型地中蒸渗仪群实测数据及气象资料,分析不同深度潜水位处的土壤温度对潜水蒸发的影响,提出一种考虑地表温度和潜水位处土壤温度相对差异的温度系数,将其引入经优选后的3种潜水蒸发经验公式,并对这种考虑了土壤温度垂向作用的改进潜水蒸发公式进行评估。结果表明:①考虑地温系数的3种潜水蒸发经验公式都较原公式更符合实际潜水蒸发,总体精度提升5.89%~7.00%,相对误差减少9.55%~10.13%。②引入地温系数的幂函数改进公式整体表现优于改进的阿维里扬诺夫公式和叶水庭公式,对不同埋深处的潜水蒸发模拟时,各地温型公式均在0.6 m埋深处精度的改进最显著。③从总敏感性指标和一阶敏感性指标来看,改进公式中3个变量的敏感性排序为潜水埋深>相对温差变量>水面蒸发,进一步验证了在潜水蒸发计算公式中考虑土壤温度影响的必要性。

     

    Abstract: Phreatic evaporation is a critical link in the vertical interactions between surface water and groundwater; accurate quantification is essential for assessing shallow groundwater resources in the Huaibei Plain. This study analyzes the influence of soil temperature at different water table depths on phreatic evaporation using meteorological observations and data collected by large-scale lysimeter arrays at the Wudaogou experimental station between 2010 and 2019. A temperature coefficient is proposed to account for the relative difference between soil temperature at the surface and at water table depth. It is incorporated into three empirical formulas for phreatic evaporation to account for vertical soil temperature dynamics. Phreatic evaporation estimates derived from the original (E0) and improved (Ei) formulas are compared with observations (Eobs). Results indicate that: ① Agreement between Ei and Eobs is higher than that between E0 and Eobs. Relative to E0, Ei improves overall accuracy by 5.89%—7.00% and reduces the relative error by 9.55%—10.13%. ② Among the improved formulas, the power function outperforms the modified Averianov and Ye Shuiting formulas. Accuracy improvement is the largest for a water table depth of 0.6 m. ③ Total-order and first-order sensitivity indices reveal that, in the improved formulas, the sensitivity of H is the highest, while the sensitivity of E0 is the lowest, further confirming the necessity of incorporating soil temperature effects into phreatic evaporation calculations.

     

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