Uncertainty analysis of elevation data based on groundwater modeling system: A case study of Zhaozhou County, China
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Abstract: This study takes Zhaozhou County in the Songnen Plain (a plain area with sparse borehole data) as the study area, and aims to address the issue of elevation data sources' impact on groundwater numerical simulation by comparatively analyzing the application effects of the Shuttle Radar Topography Mission Digital Elevation Model 90M (SRTM DEM 90M) and interpolated elevation derived from 25 actual boreholes and 14 virtual boreholes (synthetic borehole points derived from DEM data and corrected using nearby measured boreholes). The results show that: The elevation of SRTM DEM 90M can reflect regional microtopographic features; borehole interpolation has single-point errors (−5 m to 10 m) and interpolation uncertainty, and the over-smoothed terrain leads to a relative deviation of 40%–50% in unsaturated zone thickness in specific areas, which further results in a maximum reduction of 93% in evaporation (from 93.92 m3/d to 6.34 m3/d). Regarding simulation accuracy, the traditional water level dynamic fitting of both models meets the required standards, but the Nash-Sutcliffe Efficiency (NSE) value of water level fitting for the borehole model is negative, while the statistical indicators of the SRTM model meet the standards. This study confirms that: (1) the "parameter combination effect" plays a dominant role in simulation: Simulation results are essentially the integrated product of multi-parameter interaction; (2) in borehole-sparse areas similar to the Songnen Plain, SRTM DEM 90M can replace borehole interpolation.
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Table 1. Hydraulic parameters values
Type of aquifer Parameter partitioning Kh (m/d) Kv (m/d) Sy Ss (1/m) Effective porosity Unconfined aquifer Ⅰ 4 0.4 0.1 0.3 Ⅱ-Ⅳ 6 0.6 0.1 0.3 Ⅴ 8 0.8 0.1 0.3 Aquitard 0.001 0.0001 0.000001 0.3 Notes: The starting head in the model uses the water level data observed in the observation wells on January 1,2012. Table 2. Monthly rainfall and evaporation in 2012
Month 1 2 3 4 5 6 7 8 9 10 11 12 Rainfall (mm) 0.1 1.6 11.6 27.9 11.7 99.9 118.4 48.5 68.6 36.2 31.6 9.8 Evaporation (mm) 11.8 27 91.1 228.3 320.1 270 213.7 177.2 148.2 112.2 43.1 16.5 Table 3. Agricultural irrigation volume
Township Area (km2) Irrigation volume (104 m3) Recharge rate (m/d) Shuangfa Township 145.52 151.7 0.000011 Tuogu Township 184.07 166.9 0.0000096 Zhaozhou Town 200.51 390.7 0.0000206 Yongle Town 175.88 185.6 0.0000112 Xinfu Township 358.79 333.1 0.0000098 Xingcheng Town 340.54 287.8 0.0000089 Fengle Town 132.2 174.7 0.000014 Yongsheng Township 136.03 164.7 0.0000128 Yushu Township 184.28 186.5 0.0000107 Chaoyanggou Town 156.05 189.7 0.0000128 Chaoyang Township 131.64 147.8 0.0000119 Erjing Town 230.37 297.7 0.0000137 Weixing Breeding Farm 85.06 60.1 0.0000075 Le Yuan Township 25.26 22.9 0.0000096 Table 4. Main coefficients for the study area
Study area/km2 Rainfall infiltration recharge factor Irrigation infiltration recharge factor Soil evaporation coefficient 2,445 0.189 0.13 0.042 Table 5. Hydrogeological parameter calibration results
Parameter
partitioningHydraulic
conductivity (m/d)Specific
yieldⅠ 4.57 0.06 Ⅱ 6.35 0.08 Ⅲ 7.64 0.12 Ⅳ 6.42 0.09 Ⅴ 8.95 0.14 Table 6. Ⅵ and Ⅶ, hydrological parameter calibration results
Parameter
partitioningHydraulic
conductivity (m/d)Specific yield Ⅵ 7.94 0.11 Ⅶ 7.89 0.11 Table 7. Basis for the layout of virtual boreholes
Type Virtual borehole numbering Information gap areas XN1, XN2, XN3, XN4, XN11 Areas with high topographic gradient (areas with distinct color transitions in Fig. 12) XN9, XN10, XN12, XN13 Boundary areas of the study area XN5, XN6, XN7, XN8, XN14 Table 8. Hydrogeological parameter data
Parameter
partitioningHydraulic
conductivity (m/d)Specific yield Ⅰ 2.46 0.06 Ⅱ 4.88 0.07 Ⅲ 5.45 0.11 Ⅳ 5.31 0.08 Ⅴ 6.87 0.12 Table 9. Analysis of unsaturated zone thickness
Position SRTM DEM thickness (m) Borehole model thickness (m) Relative deviation (%) Northeast P1 8.2 12.3 50.0 Western P2 6.5 9.1 40.0 Table 10. Variation of ET flow out with unsaturated zone thickness
Type Values Unsaturated zone thickness (m) 6.5 8 9 9.1 10 ET Flow Out (m3/d) 93.92 30.68 7.14 6.34 0 Table 11. Comparison of lithology-hydraulic parameters of G9 unsaturated zone
Type SRTM DEM model Borehole elevation model Lithology of unsaturated zone Fine sand Silt, fine sand Hydraulic conductivity (m/d) 7.64 5.45 -
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