Study area
Xi 'an is a core city in the central Guanzhong Plain. The urban area has an elevation of 400–450 meters and annual precipitation of 522.4-719.5mm, increasing from north to south. Precipitation is mainly concentrated from July to September. This study selects a university in Xi 'an as the research object. The campus is located near the road section of Jinhua South Road, East Second Ring Road in Xi 'an, covering an area of about 27.1554 hm2. The five land use types are squares, buildings, green spaces, traffic roads and water area, which account for 37.68%, 31.55%, 20.99%, 9.62%, and 0.15%, respectively, of the total area of the campus. The distribution of land use types is shown in Fig. 1. This campus is a typical old campus with high density of building and high proportion of impervious pavement. The drainage system of the campus is old, and some areas are seriously waterlogged, which affects the lives of teachers and students.
Establishment of study area model
MIKE URBAN is a 1D drainage network model, which is composed of water supply and drainage system. The drainage system mainly includes rainfall runoff module, pipe flow module. MIKE URBAN provides four runoff models: Time-Area Method, Non-Linear Reservoir Method, Linear Reservoir Method, Unit Hydrograph Model. Among them, Non-Linear Reservoir Method is based on kinematic wave calculation, and the surface runoff is calculated as an open channel flow. Taking into account the factor of Horton infiltration, the physical concept is clearer. It is suitable for sponge city simulation in small areas with high precision requirements. Therefore, Non-Linear Reservoir Method with high precision is used to describe this confluence calculation model.
According to the urban planning map and the layout of rainwater pipe network, CAD and ArcGIS are used to analyze the underlying surface. The 1D drainage network model is established in the study area. This method is called the Thiessen polygon method, the study area is divided into 105 sub-catchment areas. In the model, 106 drainage pipes are established, with the total length of 2.913km and the pipe diameter range from 100 to 800 mm. There are 108 nodes in total, including 105 inspection wells and 3 drainage outlets (Fig. 2).
The 2D surface runoff model is a planar two-dimensional free surface flow model. The control equations are composed of shallow water equations and momentum equations, which are solved by the finite volume method of alternating direction implicit (ADI) (Darama et al. 2021). The data of 892 elevation points in CAD are extracted. The digital elevation model (DEM) of the study area is obtained by interpolation calculation using ArcGIS. When building and road are superimposed on the basic terrain, the elevation of building and road should be appropriately changed to ensure the stability of simulation results. In this study, it is assumed that the building will be raised 10 m and the road elevation is 0.15 m lower than the surrounding ground. According to the current situation of the study area and the precision requirements of the model, the grid size is determined to be 4⊆4 m. The interaction between the drainage system and the catchment area can be described by dynamically coupling MIKE URBAN and MIKE 21on the MIKE FLOOD platform. The coupling model takes the inspection well as the coupling point to couple with the 2D surface calculation grid. It can obtain the change process of overflow and backflow, and surface waterlogging in the study area under certain rainfall conditions. And it can more accurately reflect the interaction between the urban drainage pipe network and surface water flow.
Model calibration and validation
(1) Calibration of uncertain parameter
Owing to the lack of measured data, the model cannot calibrate the parameters through the measured value and simulated value of outlet runoff. This work adopts the parameter calibration method of urban rainfall runoff model based on runoff coefficient (Liu et al. 2014). To ensure that the model has good stability under different rainfall events, the precipitation with the return period of 1 year and 10 years is used to calibrate the parameters. According to the simulation results, the comprehensive runoff coefficients of the two designed rainfalls are 0.663 and 0.759. Both results can meet the requirements of the comprehensive runoff coefficient of 0.6 ~ 0.8 in the densely built central area.
(2) Model validation
Rainfall events on July 18,2021 and August 31, 2021 are selected as the research objects (referred to as 20210718 and 20210831) to conduct an empirical study on stormwater simulation. The simulation results are verified by maximum water depth survey method. After repeated reconnaissance and investigation, the data of rainfall runoff depth of typical waterlogging points in the region were collected. The location of typical waterlogging points in the study area is shown in Fig. 3. The maximum water depth of the waterlogging point is counted, and the relative error is analyzed between the measured value and the simulated value. The error of the four waterlogging points is within the allowable range of the application specification (-20%-10%)(Su et al. 2020). The comparison results of maximum water depth are shown in Table 1.
Table 1
Comparison results of maximum water depth at typical points of 20210718 and 20210831 rainfall events
Waterlogging point number | Location | 20210718 rainfall event | 20210831 rainfall event |
Measured value (cm) | Simulated value (cm) | Relative error (%) | Measured value (cm) | Simulated value (cm) | Relative error (%) |
1 | South side of the library | 3.90 | 4.30 | 0.10 | 3.20 | 3.60 | 0.13 |
2 | Duxing Road | 3.90 | 4.20 | 0.08 | 2.70 | 2.90 | 0.07 |
3 | West side of teaching building six | 2.60 | 3.10 | 0.19 | 2.10 | 2.40 | 0.14 |
4 | North side of the fourth dormitory building | 4.30 | 40 | 0.07 | 2.80 | 2.60 | 0.07 |
Scenario setting
Rainfall condition design
The Chicago rainfall pattern is used as the equation for calculating rainstorm intensity in this study area(Yang et al. 2021;Zhang et al. 2021). The intensity of rainstorm is calculated by the following Eq. (1):
$$q=\frac{2210.87\left(1+2.915lgP\right)}{{\left(t+21.933\right)}^{0.974}}$$
1
Where q is the storm intensity; P is the rainfall return period, year; t is the rainfall duration, min.
The designed rainfall duration is 2h, the rainfall return periods are 1,3,5,10, 20 years. The time step is one minute, and the rain peak coefficient is empirical value 0.4 (Liu et al. 2020;Li et al. 2019). The design rainfalls are 12.775mm, 30.537mm, 38.797mm, 50.015mm, 61.221mm, respectively.
LID combination scenarios
MIKE URBAN provided two LID simulation methods: (1) Hydrological generalization based on catchment areas. (2) Hydrodynamic generalization method based on pipe network. This study adopts Soakaway of hydrodynamic generalization method, which is defined as permeable node in MIKE URBAN. Soakaway can represent many different LID measures and can also be directly connected to the drainage system. The study area is old urban with dense buildings. There are many cement roads with impervious, and the green space accounts for 20% of the total area. Considering the factors such as surface type and vegetation coverage rate, three LID measures are set up in the study area, including bioretention facilities, green roofs and permeable pavement. The planning area of LID measures is 4.073 hectares, accounting for 15% of the study area. The three LID combination scenarios are as follows: Scenario A:3% bioretention facility + 3% green roof + 9% permeable pavement. Scenario B:9% bioretention facility + 3% green roof + 3% permeable pavement. Scenario C:3% bioretention facility + 9% green roof + 3% permeable pavement.
Comprehensive benefit analysis
(1) Economic benefit
Owing to the lack of relevant information, this study mainly considers the construction cost, design cost and operation and maintenance cost as the estimation indexes of economic benefits of LID measures. The construction cost, design cost and maintenance cost of different LID measures are shown in Table 2.
Table 2
Reference cost of LID measures
LID measures | Construction cost (yuan/ m2) | Design cost (yuan/ m2) | Operation and maintenance cost (yuan/ m2) |
Bioretention facility | 400 | 40 | 30 |
Permeable pavement | 150 | 20 | 10 |
Green roof | 200 | 25 | 20 |
(2) Environmental Benefit
LID measures can effectively improve the water ecology and water environment in the study area. This study mainly considers the runoff control rate and the reduction of overflow nodes as the estimation indexes of environmental benefits of LID measures.
(3) Social Benefit
The construction of sponge cities can not only effectively mitigate urban waterlogging and reduce the urban heat island effect, but also further realize carbon emission reduction. LID measures have an effect on energy conservation and emission reduction. The carbon emission reduction benefits of LID measures are quantitatively analyzed by using the evaluation index of carbon emission reduction. The urban greening and bioretention facility can sequester carbon and release oxygen through plants photosynthesis or rainwater infiltration retention. The carbon sequestration capacity is affected by the external environment, vegetation type and size. The carbon absorption is calculated by the following Eq. (2). Water can also absorb part of carbon. The chemoautotrophs in water can fix inorganic carbon to absorb CO2 from the atmosphere (Eugenio et al. 2017). The carbon absorption is calculated by the following Eq. (3):
$${C}_{sf1}={A}_{1}\times {S}_{1}$$
2
$${CI}_{water}={C}_{unit-water}\times {A}_{water}$$
3
Where \({C}_{sf1}\)is the carbon uptake of vegetation, t/a;\({A}_{1}\) is the green area, m2;\({S}_{1}\) is the photosynthetic carbon absorption unit area, and the bioretention facility is 2.715t/hm2·a (Guan et al. 1998),0.948229 t/hm2·a for ordinary green space. \({CI}_{water}\) is the amount of carbon absorbed by water area, t/a; \({C}_{unit-water}\) is the carbon sequestration rate of rivers and lakes,0.567t/hm2·a (Duan et al. 2008);\({A}_{water}\) is water area.
A lot of ready-mixed concrete is required for laying cement roads, and a large amount of CO2 will be emitted in the whole process of concrete production. Paving permeable pavement can reduce the use of concrete. Moreover, it has good infiltration capacity, which can reduce surface temperature and supplement groundwater, etc. The carbon emission is calculated by the following Eq. (4):
$${J}_{s}=N\times {V}_{G}/{T}_{G}$$
4
Where \({J}_{s}\) is used to reduce concrete consumption and carbon emission, t/a;\(N\) is carbon emission per unit cubic meter of concrete,0.22t/m3 (Sanal 2017); \({V}_{G}\) is the reduced concrete usage, m3;\({T}_{G}\)is the service life of road, 50 years.
Green roof can effectively reduce the total amount of roof runoff and has the role of energy conservation and emission reduction(Fan et al. 2020). One is carbon sequestration through plant uptake and soil substrate. The carbon reduction capacity is affected by vegetation type, soil matrix type and soil thickness (Chen et al. 2018; Zhang et al. 2015). The carbon absorption of vegetation is calculated by the following Eq. (5). On the other hand, energy consumption can be reduced by lowering the building temperature and protecting the roof structure, and ultimately carbon emissions can be reduced (Jim et al. 2012). The carbon emission reduction and energy conservation of building is calculated by the following Eq. (6):
$${C}_{sf2}={A}_{2}\times {S}_{2}$$
5
Where \({C}_{sf2}\)is the carbon uptake of vegetation, t/a; \({A}_{2}\) is green roof area, m2;\({S}_{2}\) is the photosynthetic carbon absorption per unit area,0.948229t/ hm2·a (Xie et al. 2008); J is the amount of building energy conservation carbon emission reduction, t/a;\(E\) is the energy consumption reduced by green roof per unit area,10.002Kg/ m2·a (Cai et al. 2019);\(\text{S}\) is green roof area, m2.
(4) Comprehensive Benefit
Analytic Hierarchy Process (AHP) method is a multi-objective decision analysis method combining qualitative analysis and quantitative analysis, which is suitable for dealing with problems that are difficult to quantify (Lee 2015). AHP is used to evaluate three LID combination scenarios in this study. A screening system for optimal layout of LID combination scenarios is established based on the above mentioned method (Fig. 4).