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基于數(shù)據(jù)同化的地下水埋深插值研究
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國(guó)家自然科學(xué)基金項(xiàng)目(41371189)和“十二五”國(guó)家科技支撐計(jì)劃項(xiàng)目(2012BAD16B00)


Interpolation of Groundwater Depth Based on Data Assimilation
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    摘要:

    以西北干旱區(qū)典型縣域磴口縣為研究區(qū),以2015年8月份40個(gè)地下水采樣點(diǎn)的樣品數(shù)據(jù)為基礎(chǔ),引入集合卡爾曼濾波(EnKF)數(shù)據(jù)同化將其優(yōu)化作為主變量,以蒸散發(fā)量反演結(jié)果以及歸一化植被指數(shù)(NDVI)數(shù)據(jù)為協(xié)變量,進(jìn)行協(xié)同克里金插值,,同時(shí)與未采用同化的協(xié)同克里金插值結(jié)果以及經(jīng)同化采用普通克里金插值結(jié)果進(jìn)行交叉驗(yàn)證,。結(jié)果表明:三者在較大空間尺度上對(duì)地下水埋深空間分布趨勢(shì)的模擬基本一致,,南部沙漠地區(qū)整體較高,,在空間分布上表現(xiàn)為明顯的地理規(guī)律性。同化后的數(shù)據(jù)進(jìn)行協(xié)同克里金插值的結(jié)果改善最顯著,,平均誤差,、均方根誤差、平均標(biāo)準(zhǔn)誤差均優(yōu)于未同化插值結(jié)果,,其中平均誤差僅為0.2705m,。與普通克里金插值方法相比,協(xié)同克里金插值考慮蒸散發(fā)與NDVI的協(xié)同作用,,精度明顯提高,,平均誤差減小0.4097m,均方根誤差減小0.0784m,,平均標(biāo)準(zhǔn)誤差減小1.0167m,。

    Abstract:

    Groundwater monitoring is limited by practical conditions, and only limited monitoring results can be obtained when it is observed. As a kind of geostatistical interpolation method, cooperative Kriging (co-Kriging) method can effectively represent the transformation of discrete point-like information to planar continuous information. Dengkou County, a typical county in the arid region of Northwest China, was selected as the study area. The sampled data from 40 groundwater sampling sites in 2015 was selected as the main variable. And this data optimized by EnKF was used as the basic data of co-Kriging interpolation. The evapotranspiration results and NDVI data were selected as the covariates. Co-Kriging interpolation was carried out by using the sampled data from 40 groundwater sampling sites in August, 2015, as the main variable, which were optimized by EnKF, and the evapotranspiration results and NDVI data were used as the covariates. Meanwhile, the results of coKriging interpolation without using EnKF model and Kriging interpolation optimized by EnKF model were used to verify the accuracy. The results showed that the spatial distribution trend of groundwater depth was basically the same at large scale, the value in the southern desert region was higher, and the spatial distribution showed obvious geography regularity. The most significant improvement was achieved with EnKF model. Based on this improvement, the mean error, root mean square error and mean standard error were all better than those without assimilation, with the mean error of 0.2705m. Compared with the ordinary Kriging interpolation method, co-Kriging model took the synergistic effect of evapotranspiration and NDVI into consideration, and the precision was obviously improved. The mean error was decreased by 0.4097m, the root mean square error was decreased by 0.0784m and the mean standard error was decreased by 1.0167m. This study can provide a scientific basis for spatial visualization simulation and reasonable management of water resources in arid areas.

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馬歡,岳德鵬,YANG Di,于強(qiáng),張啟斌,黃元.基于數(shù)據(jù)同化的地下水埋深插值研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2017,48(4):206-214. MA Huan, YUE Depeng, YANG Di, YU Qiang, ZHANG Qibin, HUANG Yuan. Interpolation of Groundwater Depth Based on Data Assimilation[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(4):206-214.

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  • 收稿日期:2017-01-11
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  • 在線發(fā)布日期: 2017-04-10
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