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Figure 10.
![Maximum, minimum and average values of the rainwater inflow limit [L/m2] per 1 m2 of surface area of LID facilities for scenarios S0–S7 for which there was a 100% quantitative reduction of inflow](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64726ab0215d2f6c89dc731c/j_oszn-2025-0005_fig_010.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKHXFVGMWW%2F20251216%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20251216T214744Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEKT%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJHMEUCIB6%2F4n11D6XQuK%2F%2B58%2FE09zvft83ymQVqF07Taj8J8ShAiEA3iF2XWES7ag2DRRTqgl5iQRWNsYpFr5JP5QNV%2FrklcAqvAUIbRACGgw5NjMxMzQyODk5NDAiDEwqUd5byOOMj9POgCqZBc%2FIZo5yP%2BzDDTTp1YJL55ZVO01uKtQQ0oBeZ5uMBqx5JXrpaQgzJ64YZhNmo6WDvf%2FdFR9C7fYKTBxyBO0ZpXS9hFW7EpUN6oS7IBD%2F1kDsGeriUQGtxZTxaAad1emDz1h2QrB7x37S%2Br5OYjPailCXeKwZuGBnp5RDpOh6vivNIOuPqsvneYpx76qYHZQ69DehIXugCxg11stSua1S0TGDOvNggOMCo1sggg0580DWgdn%2BXiuu8EobECN43Tg18BYCNeZM%2B62U3AVErUE6HFPvDci%2FYgEW4soO1LKDLrTJpRXl2ffwnh%2Bg8xZExKhqJjyWu9ippamUllywfdxk%2F3hLaPzo4loD7ySH7MrF%2BtnYx2l7TzQlGPRQs5T%2FlKylYpqbFEh9tasQ5%2BDx5734JEon1dV2QE9%2FMQ7ykJaOWjit58nnvEijcogZet%2F8XKKpDvbI4iQIpyvHdE15OKiBFsO27KZEn1iAIu4FsJHHT3kTrhbX6fBykLJtukOZ4NVuueY7ap3EmqblCyjKEHHlcM0e%2BXhD9UtAkLWxgsoijVnNGBnmfqvDPbvrxwmTaGs6j5r3LM5np3YqhTeIWgwQckx8vaRJKp3OQ031IgK1AO6LLOIaseKiWwVqJC%2BdQYAxxdd6wSQ%2B5V1U0BWQRyUJ7JzGC0G2PK6BsY93bg7mgLwpp2i5zbczP3ZwGM4ddeO803circapNLam4wnFuwUC1WRVW7WrjGfF4nxJ4coGVh4B5nVOFa41IxMrpBpiRCdhkOztiJN1ccyyrHAIrYA3aWGMrlT4TRNvOHN7DVwus7D78BEwfhM97bAmZhHPbqjiH5SV%2BJoi62YHUShvboC6qaqdjuEsILolIfZaOkFpiYqOPgGptQFGnh47MPTrhsoGOrEBfbZ6gA3PYSk%2FPCjQ1R1MoZZFiMnjCl65ebOr%2BvVBCdfaBWYGe9p9qE7vTrsBP8KPuBvx5fDgPk4xRJt3%2B10RZtucWCCN7LlRZpBki03LsH%2BUKetTkYnBmnoGIB4g32kjmyTZZwCKxFk%2Fewpx5K3V4N9GbL%2FAMNjhy40nCqYGRQYoHs%2FJd8tchpmyE19jPhMAY1nHVmCoWRqs1v5I%2BnLps%2BifYd2VIpZmDC35kY9MKYU%2F&X-Amz-Signature=16790090289bae32552c8299181e17dda0162340c916843faecca018447cbe56&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
The basic measures of fitness coefficients for built SWMM model
| Indicator | Description | Formula | Obtained value | Assessment | Literature | |
|---|---|---|---|---|---|---|
| NSEC | Nash-Sutcliffe Efficiency Coefficient | Compare the results of model’s response and measurement data |
| 0.885 | -∞ - 1; very good | [Titterington et al. 2017], [Moriasi et al. 2007], [Lin et al. 2017] |
| ISE | Integral Square Error | The accuracy of the matching between simulated and observed data |
| 0.02 | 0 – 3; excellent | [Shamsi et al. 2017] |
| RMSE | Root Mean Square Error | Differences between observed and simulated values |
| 0.442; < 0.5*1.307 | less than half of the standard deviation; good | [Singh et al. 2004], [Moriasi et al. 2007] |
Spatial analyses based on the Database of Topographical Objects of the study area
| Land use | Area | |
|---|---|---|
| ha | % | |
| Roofs | 1.12 | 26.9 |
| Roadways, pavement, alleys | 0.40 | 9.6 |
| Single- and multi-family residential land | 2.17 | 52.0 |
| Biologically active areas | 0.48 | 11.5 |
| TOTAL | 4.17 | 100.0 |
Summary of the LID parameters used in the calibrated SWMM model according to [Bond et al_ 2021]
| Layer | Parameter | Unit | Bio-retention cells (BC) |
|---|---|---|---|
| Surface layer | Berm height | mm | 250 |
| Vegetation volume | share | 0.1 | |
| Surface roughness | – | 0.3 | |
| Surface slope | % | 1 | |
| Swale Side Slope | run/rise | – | |
| Soil layer | Thickness | mm | 600 |
| Porosity | share vol. | 0.45 | |
| Field capacity | share vol. | 0.121 | |
| Wilting point | share vol. | 0.057 | |
| Conductivity | mm/hr | 91 | |
| Conductivity slope | – | 44 | |
| Suction head | mm | 50 | |
| Storage layer | Thickness | mm | 400 |
| Void ratio | voids/solids | 0.54 | |
| Seepage rate | mm/hr | 2.6 | |
| Clogging factor | – | 0 | |
| Drain | Flow coefficient | mm/hr | 5.4* |
| Drain exponent | – | 0.5 | |
| Offset height | mm | 200 |
The simulation results of the calibrated model for the entire study area at the sewer outfall for scenarios S0–S7
| Scenario S0 | Scenario S1 | Scenario S2 | Scenario S3 | Scenario S4 | Scenario S5 | Scenario S6 | Scenario S7 | |
|---|---|---|---|---|---|---|---|---|
| no LID | ||||||||
| Max flow [LPS] | 4.6 | 449.2 | 464.0 | 454.8 | 393.1 | 359.3 | 349.9 | 266.2 |
| Total volume [m3] | 17 | 539 | 752 | 916 | 953 | 1008 | 1072 | 1139 |
| with LID | ||||||||
| Max flow [LPS] | 0.0 | 17.5 | 31.6 | 31.7 | 25.2 | 22.6 | 22.1 | 17.6 |
| Total volume [m3] | 0 | 29 | 56 | 111 | 134 | 167 | 204 | 246 |
| reduction | ||||||||
| Max flow [LPS] | 100% | 96% | 93% | 93% | 94% | 94% | 94% | 93% |
| Total volume [m3] | 100% | 95% | 93% | 88% | 86% | 83% | 81% | 78% |
Summary of the simulation results of the calibrated SWMM for individual LID facilities implemented in the study area for scenarios S0–S7
| Scenario | S0 | S1 | S2 | S3 | S4 | S5 | S6 | S7 |
|---|---|---|---|---|---|---|---|---|
| Total Inflow (m3) | 37.9 | 658.2 | 987.1 | 1234.8 | 1304.7 | 1404.0 | 1512.8 | 1629.2 |
| Surface and Drain Outflow (m3) | 0.0 | 32.7 | 133.6 | 273.6 | 318.7 | 385.4 | 458.9 | 538.8 |
| Average inflow (L/m2) | 0.008 | 0.139 | 0.208 | 0.260 | 0.275 | 0.296 | 0.319 | 0.344 |
| Average outflow (L/m2) | 0.000 | 0.007 | 0.028 | 0.058 | 0.067 | 0.081 | 0.097 | 0.114 |
| Average reduction (%) | 100 | 95 | 86 | 78 | 76 | 73 | 70 | 67 |
Analyzed scenarios
| Scenario S0 | Scenario S1 | Scenario S2 | Scenario S3 | Scenario S4 | Scenario S5 | Scenario S6 | Scenario S7 | |
|---|---|---|---|---|---|---|---|---|
| Precipitation duration | 90 min (4.2 mm) | 15 min | 30 min | 45 min | 60 min | 90 min | 120 min | 180 min |
| Average rainfall intensity [LPS/ha]* | 7.8 | 273.32 | 175.33 | 134.52 | 105.37 | 74.81 | 59.55 | 42.46 |
| Total precipitation p = 10% [mm] | 4.2 | 24.60 | 31.56 | 36.32 | 37.93 | 40.40 | 42.88 | 45.86 |
| Precipitation intensity p = 10% [mm/hr] | 2.80 | 98.40 | 63.12 | 48.43 | 37.93 | 26.93 | 21.44 | 15.29 |
Values of the basic parameters for the land use groups in the study area obtained during the SWMM calibration process
| Description | Imperv [%] | N Imperv | N Perv | Dstore Imperv [mm] | Dstore Perv | Zero Imperv [%] | Width | |
|---|---|---|---|---|---|---|---|---|
| min | max | [mm] | A [m] | |||||
| Building roofs-BUBD | 87.47 | 0.010 | 0.045 | 3.69 | 3.69 | 36.00 | 0.7 | |
| Other roadway-SKJZ08 | 13.1 | 36.0 | 0.015 | 0.300 | 1.20 | 5.08 | 40.00 | 0.3 |
| Local roadway-SKJZ06 | 34.6 | 49.5 | 0.010 | 0.300 | 1.20 | 5.08 | 40.00 | |
| Alley-SKRP01 | 2.0 | 3.2 | 0.011 | 0.280 | 1.20 | 5.08 | 40.00 | |
| Grass vegetation-PTTR01 | 1.0 | 2.5 | 0.140 | 0.280 | 5.08 | 7.62 | 20.00 | 0.3 |
| Orchard-PTUT03 | 1.1 | 2.88 | 0.210 | 0.280 | 5.08 | 7.62 | 20.00 | |
| Single-family dwelling-PTZB02 | 2.0 | 4.02 | 0.105 | 0.280 | 5.08 | 7.62 | 20.00 | |
Summary of the results obtained for the considered precipitation scenarios S0–S7
| No. | Scenario | S0 | S1 | S2 | S3 | S4 | S5 | S6 | S7 |
|---|---|---|---|---|---|---|---|---|---|
| share LID storage in rainfall volume | |||||||||
| 1A | Rainwater volume [m3] | 365 | 2137 | 2742 | 3156 | 3296 | 3510 | 3725 | 3984 |
| 1B | Final LID storage [m3] | 41 | 788 | 970 | 1024 | 1036 | 1057 | 1081 | 1108 |
| 1 | Average share [%] | 11% | 37% | 35% | 32% | 31% | 30% | 29% | 28% |
| LID hydrological performance | |||||||||
| 2A | Average inflow [L/m2] | 0.008 | 0.139 | 0.208 | 0.260 | 0.275 | 0.296 | 0.319 | 0.344 |
| 2B | Average outflow [L/m2] | 0.000 | 0.007 | 0.028 | 0.058 | 0.067 | 0.081 | 0.097 | 0.114 |
| 2 | Average reduction [%] | 100% | 95% | 86% | 78% | 76% | 73% | 70% | 67% |
| average total inflow to LID with full reduction | |||||||||
| 3 | Fully reduced inflow [L/m2] | 0.76 | 5.79 | 2.30 | 2.85 | 3.13 | 3.28 | 3.46 | 4.25 |
| total outfall volume reduction | |||||||||
| 4A | Total volume [m3] | 17 | 539 | 752 | 916 | 953 | 1,008 | 1,072 | 1139 |
| 4B | Reduced volume [m3] | 0 | 29 | 56 | 111 | 134 | 167 | 204 | 246 |
| 4 | Average reduction [%] | 100% | 95% | 93% | 88% | 86% | 83% | 81% | 78% |
| outfall peak flow reduction | |||||||||
| 5A | Peak flow [LPS] | 4.60 | 449.16 | 464.03 | 454.78 | 393.10 | 359.34 | 349.85 | 266.20 |
| 5B | Reduced peak flow [LPS] | 0.00 | 17.51 | 31.63 | 31.66 | 25.19 | 22.57 | 22.05 | 17.58 |
| 5 | Average reduction [%] | 100% | 96% | 93% | 93% | 94% | 94% | 94% | 93% |