1. Introduction
Urban flooding has become a global challenge [
1,
2,
3], frequently causing severe damage to infrastructure and the economy, and threats to urban safety and sustainability [
4]. Rapid urbanization has led to large-scale impervious surface development, significantly altering the natural hydrological cycle, reducing infiltration capacity, and intensifying stormwater runoff [
5]. Moreover, with climate change driving the frequency and intensity of extreme rainfall events, the urban flooding risk has increased worldwide [
6,
7]. For example, the 2019 extreme rainfall event in Shenzhen, China, with a 30 min rainfall intensity of 73.4 mm (a 50-year return period), led to widespread flooding, causing 11 deaths [
8]. Similar events in cities from Dhaka, Bangladesh [
9] to Rotterdam, the Netherlands [
10], and New York, USA [
11], underscore the urgent need for effective flood and infrastructure management strategies.
Previous studies have identified rainfall as a primary driver of urban flooding [
12]. For instance, O’Donnell and Thorne used empirical evidence to demonstrate that changes in rainfall are a major factor contributing to increased flood risk in the UK [
13].The Intergovernmental Panel on Climate Change (IPCC) has also reported regional increases in heavy precipitation frequency and intensity [
14], which are expected to exacerbate urban flooding. Additionally, previous studies have explored the impacts of different rainfall patterns on urban flooding and highlighted the significant risks posed by single-peak rainfall events [
15,
16,
17]. For example, Qi et al. studied different rainfall patterns and found that under the same total rainfall, single-peak patterns posed the greatest risk of flooding in Haikou [
12]. Similarly, Fan et al. simulated spatiotemporal flood variations in substations under rainfall events and found that single-peak rainfall caused higher flood risks than double-peak patterns [
18]. However, the existing research often evaluates single rainfall scenarios, neglecting the impact of varying return periods on the flood dynamics process. Consequently, the effects of rainfall on the full urban flooding process—including rainfall dynamics, surface runoff generation, drainage system capacity, peak flow variations, and surface inundation—remain poorly understood. This gap in understanding limits the development of effective and comprehensive flood mitigation strategies.
Over the past decades, advancements in hydrological models such as the Storm Water Management Model [
19], LISFLOOD [
20], MIKE URBAN [
21], and InfoWorks ICM [
22] have significantly enhanced flood simulation. However, most existing models analyze the individual components of urban flooding in isolation, rather than capturing the integrated dynamics of the entire flood process. For instance, SWMM, a widely used one-dimensional rainfall-runoff model, lacks the capability to simulate the flood extent and interactions between surface and subsurface systems. Similarly, LISFLOOD excels at simulating large-scale river hydrology but is less suited for urban environments due to its limited capacity for detailed urban drainage modeling [
23]. MIKE Urban, on the other hand, provides detailed simulations of sewer network performance but often neglects overflow diffusion processes, restricting its applicability for integrated flood risk assessments. In contrast, InfoWorks ICM stands out by offering a comprehensive modeling framework that integrates one-dimensional hydrodynamic simulations of sewer networks with two-dimensional surface water modeling. Its ability to fully solve the Saint-Venant equations for sewer flow and apply finite volume methods for surface flooding allows for the detailed simulation of coupled interactions between surface and drainage systems. This capability makes it particularly well suited for assessing the entire urban flooding process, from rainfall to runoff, sewer overflow, and surface inundation, addressing key gaps in the existing research and providing a full process for flood risk assessment and informing effective flood mitigation strategies.
This study aims to systematically investigate the impact of rainfall events with varying return periods on the entire urban flooding process, including surface runoff formation, peak flow, sewer overflow, and surface inundation. By coupling surface hydrology and drainage system dynamics, this study provides a holistic analysis of urban flooding under different rainfall scenarios. Key contributions include the following: (1) A comprehensive evaluation of the entire flooding process, from rainfall to surface inundation. (2) Insights into the differential impacts of rainfall with varying return periods, addressing existing knowledge gaps. (3) A novel framework for urban flood risk assessment, providing insights for comprehensive flood management—including storage, early warning systems, land-use planning, and drainage system design. By enhancing the understanding of urban flooding mechanisms, this research supports resilient urban planning and contributes to effective responses to extreme rainfall events under future climate scenarios.
2. Materials and Methods
2.1. Study Area
Haining is located in the northwest of Zhejiang Province, P.R. China (
Figure 1a). It experiences a subtropical monsoon climate, with an average annual precipitation of 1613.9 mm, characterized by hot, humid summers and significant rainfall concentrated from May to September [
24]. This rain–heat synchrony, combined with extensive urban development, makes Haining highly prone to urban flooding. Historically, Haining has faced recurrent flood challenges. For instance, during Typhoon Lekima in 2019, the city experienced record-breaking rainfall, with hourly intensities exceeding 50 mm and widespread inundation in urban and low-lying areas. Over 150,000 people were displaced in Zhejiang Province, with significant impacts in Haining. Similarly, a rainstorm in 2021 caused local surface water accumulation and overwhelmed drainage systems, underscoring the urgent need for robust flood risk management. These climatic and hydrological vulnerabilities, coupled with urban expansion, position Haining as a critical case study for comprehensive urban flooding process analysis.
2.2. Data Sources and Preprocessing
(1) Digital Elevation Model (DEM)
The DEM used in this study has a spatial resolution of 2 m, with a vertical accuracy of ±0.15 m, generated using imagery captured by Unmanned Aerial Vehicles (UAVs). This resolution ensures sufficient precision for urban flood modeling, capturing detailed terrain variations essential for hydrodynamic simulations.
(2) UAV remote sensing imagery
The UAV remote sensing imagery was obtained through UAV aerial photography, with a mapping scale of 1:5000 and a spatial resolution of 0.5 m. The imagery consists of three channels: red (R), green (G), and blue (B).
(3) Land use data
The land use data were provided by the Haining Natural Resources and Planning Bureau. Based on the classification system from the Third National Land Survey, the land use in Haining City is divided into 25 categories.
(4) Drainage network data
The drainage network data were provided by the Haining Natural Resources and Planning Bureau. These data include drainage nodes and drainage pipelines. The attributes of the drainage nodes mainly include node ID, type, and surface elevation, while the attributes of the drainage pipelines include the IDs of the corresponding upstream and downstream nodes, bottom elevation, length, diameter, and material. There are 8027 drainage nodes and 7950 drainage pipelines in the study area.
(5) Rainfall design
Based on the rainfall intensity formula, six scenarios with different rainfall return periods were used to examine variations in urban flood responses. Referring to the Zhejiang Provincial Engineering Construction Standard—Rainfall Intensity Calculation Standard (DB33/T1191-2020), the rainfall intensity formula for Haining City is as follows:
where
q is the design rainfall intensity [L/(s
hm
2)],
P is the rainfall return period (years), and
t is the rainfall duration (mins). For model input,
q is converted to
i(mm/h) using the relation
i = q/167, where
i represents the rainfall intensity in mm/h.
Considering the requirements outlined in
the National Standard of the People’s Republic of China—Outdoor Drainage Design Standard (GB 50014-2021), which specifies a rainfall return period of 2–3 years for the design of stormwater pipelines in the central areas of medium and small cities, a 3-year return period was selected as the minimum rainfall intensity in this study. Accordingly, six rainfall scenarios were designed with return periods of P = 3, 5, 10, 20, 30, and 50 years. The rainfall duration for all scenarios was set to 120 min, with a rainfall peak coefficient of 0.4. The temporal distribution of the designed rainfall scenarios is shown in
Figure 2.
In this study, rainfall was applied uniformly across the 5 km
2 study area based on a single rain gauge, with rainfall data provided at 1 min time steps. The rain gauge data, shown in
Figure 2, correspond to the input values used for the simulation. Given the relatively small spatial extent of the study area, the spatial variability of rainfall distribution was assumed to be negligible. Therefore, a uniform rainfall approach was deemed appropriate for ensuring consistency in hydrological response and simplifying model implementation. The model does not adopt the rain-on-grid method as it uses a single point of rainfall input that is applied uniformly to the entire study area.
2.3. Urban Flood Modelling
2.3.1. InfoWorks ICM
InfoWorks ICM, developed by Innovyze
®, is an integrated hydrological and hydrodynamic model used for simulating urban flooding processes. This model incorporates three main modules, including surface runoff calculations from the hydrological module, underground drainage simulations from the one-dimensional hydrodynamic module, and flood overflow spread from the two-dimensional hydrodynamic module. The model, using integrated catchment modeling (ICM), makes hydraulic assessments accurately and quickly, and covers the simulation of rivers, sewer systems, runoff, and surface flooding. Its flexible data exchange capabilities and GPU-based parallel processing significantly enhance both the efficiency and usability of two-dimensional hydrodynamic simulations.
represents the cross-sectional area of the pipe (m
2),
is time (s),
is the flow rate (m
3/s),
is the length along the pipe in the flow direction (m)
is gravity (m
2/s),
is the water depth,
is the bed slope, and
is the friction slope (determined by empirical formulas such as Manning’s equation).
For two-dimensional surface flooding simulation, InfoWorks ICM uses the finite volume method to solve the shallow water equations. These equations are derived from the Navier–Stokes equations by simplifying vertical flow calculations, assuming that water flow primarily occurs in the horizontal direction. The mathematical formulation of the shallow water equations is as follows:
where
refers to water depth (m),
is time (s),
and
are the velocity components in the
and
directions (m/s),
and
represent the bottom slope components in the
and
directions (m
2/s),
and
are the friction slope components in the
and
directions (m
2/s),
is outflow per unit (m
3/s), and
and
denote the velocity components of
in the
and
directions (m/s).
2.3.2. Model Validation
To assess the performance of the urban flooding model, two validation metrics were employed: the relative error (
) and the Nash–Sutcliffe Efficiency (NSE) coefficient.
evaluates the deviation between simulated (
) and measured (
) values, expressed as a percentage:
The NSE coefficient measures the model’s ability to replicate observed values, with a value closer to 1 indicating better model performance:
where
is the mean of measured values and
is the total number of observations. Model validation was carried out using observed flow data from pipeline flow measurement equipment, located in the central part of the study area, as shown in
Figure 1c. The validation process involved two rainfall events: one for calibration (an event on 3 August 2018) and one for validation (an event on 20 August 2018). The observed data, including flow measurements, were compared with the model results to assess the accuracy and reliability of the simulation. Detailed results of the validation process can be found in
Table A2.
4. Discussion
4.1. Urban Flooding Patterns and Drainage System Limitations
Our findings reveal pronounced spatial variability in surface runoff, particularly under high-intensity rainfall events, with runoff clustering around urban centers. This clustering corresponds to regions with impervious surfaces, such as dense residential areas and paved roads, as noted in similar studies (e.g., Feng et al., 2021 [
25], Zhang et al., 2021 [
26], and Li et al., 2023 [
1]). Conversely, urban parks and green spaces exhibited lower runoff, underscoring their mitigating role in urban flooding. The spatial variability in flood response is driven by a combination of topographic features, land use patterns, and drainage system efficiency. Low-lying areas, such as Haining People’s Square and the Railway Station, experience greater water accumulation due to limited natural drainage, slope, and lower ground elevations. In contrast, urban parks like Xishan Park demonstrate lower flood susceptibility due to their permeable surfaces, which enhance infiltration. Additionally, the drainage network structure significantly influences localized flooding. Areas with high node connectivity and larger pipe diameters exhibit faster runoff dissipation, while regions with narrower drainage channels or blocked pipelines show prolonged inundation. For example, the maximum inundation depth in the city center (1.83 m) is nearly three times higher than in the suburban residential zones (0.65 m), underscoring the need for targeted drainage interventions.
The sensitivity of high-runoff areas to rainfall intensity highlights the urgency for enhanced drainage infrastructure in these hotspots. Temporally, peak surface runoff lags behind peak rainfall by approximately 6–8 min, with shorter delays under higher intensities, aligning with studies by Jiang and Yu [
17]. This underscores the need for quicker response measures during intense rainfall and strategies to encourage staggered commuting to reduce risks. Compared to previous studies focusing on a single rainfall event, our work emphasizes the dynamics of varying return periods, providing a more comprehensive understanding of how surface runoff evolves under different intensities. These findings can guide the prioritization of infrastructure investments, particularly in regions where rapid increases in runoff pose significant risks.
The increasing proportion and duration of node overflows under higher rainfall return periods highlight a critical threshold for the drainage system’s capacity, particularly in areas with insufficient infrastructure. Currently, the urban drainage system in Haining does not incorporate large-scale storage basins to mitigate flood risks, relying instead on a piped drainage network. However, in areas with frequent overflows, introducing detention basins or rainwater harvesting systems could enhance flood resilience. The shift in peak overflow timing with increasing rainfall intensity suggests systemic changes in drainage responses, which may contribute to localized flooding risks in vulnerable regions. These findings align with recent studies that emphasize aging infrastructure and capacity constraints as key factors that contribute to urban flooding. While a 1 -min shift in peak runoff timing is relatively minor, it reflects a progressive trend in the drainage network’s response to extreme rainfall. A slight advancement in peak runoff could lead to earlier system loading, potentially reducing the available response time for emergency interventions. For instance, in the Haining city center, the peak runoff time decreased from 55 min to 54 min under the 50-year rainfall scenario. While this shift alone is unlikely to cause system failures, it highlights the importance of evaluating drainage capacity and enhancing early-warning mechanisms, particularly in flood-prone areas. Additionally, unique trends in overflow duration were observed: shorter-duration overflows decreased, while intermediate durations increased under higher return periods. This suggests inefficiencies in the drainage system’s response to extreme events, emphasizing the need for real-time adaptive control measures. Such interventions could optimize system performance and help mitigate risks associated with prolonged or intensified overflows during extreme rainfall events.
The analysis of inundation curves across sampling points illustrates significant spatial heterogeneity, with some points exhibiting persistent water accumulation long after rainfall ends. This prolonged inundation at critical locations, such as sampling points 19 and 24, indicates systemic vulnerabilities that require immediate attention. Manual interventions in these areas may need to be supplemented with enhanced pumping or drainage solutions. The findings align partially with studies in similar regions, such as Li et al. (2019) [
24], which also reported prolonged inundation in urban cores. However, the persistence of high inundation depths under different return periods suggests that the current system design may not adequately account for the compounding effects of frequent and extreme rainfall.
Our findings underscore the importance of integrating high-resolution spatial data into urban flood models for more accurate risk prediction and mitigation. The clustering of surface runoff and overflow nodes emphasizes the need for urban planners to prioritize green infrastructure and upgrade existing drainage systems in high-risk zones. For example, Qi et al. noted that single-peak rainfall events with the same total precipitation are more likely to trigger urban flooding in Haikou [
12], which guided this study’s focus on single-peak events. However, the regional differences in the study area may introduce unaccounted variances.
4.2. Infrastructure Interventions and Future Directions
To mitigate urban flood risks, several targeted infrastructure investments are recommended: (1) Expanding drainage capacity: Upgrading undersized pipelines and enhancing network connectivity could reduce node overflows. Priority should be given to high-risk zones, such as the Haining Railway Station area, where peak overflow rates reached 2.87 m
3/s. (2) Integrating green infrastructure: Expanding permeable pavements, rain gardens, and detention basins could reduce surface runoff and delay peak flows [
27,
28]. For instance, converting 20% of impervious roads into permeable pavements could lower peak runoff by up to 15%, based on previous urban hydrology studies [
29]. (3) Implementing real-time flood monitoring: Deploying sensor-based monitoring systems at critical drainage nodes would enable the early detection of flood hotspots, allowing for rapid response actions such as pumping or the activation of emergency drainage measures to prevent prolonged inundation.
Beyond flood mitigation, future research should also consider the broader implications of sewer overflows on urban health. Floodwaters can carry contaminants, including heavy metals, pathogens, and organic pollutants, which may increase the risks of waterborne diseases. This is particularly concerning in densely populated urban areas where prolonged inundation can exacerbate public health issues. Integrating microbial contamination monitoring with flood models would provide a more comprehensive risk assessment. Additionally, the real-time monitoring of overflow nodes could help mitigate potential health hazards by enabling rapid intervention in affected areas.
Future studies should incorporate climate change scenarios to assess long-term impacts, as evolving climatic conditions may further alter rainfall intensities and flood dynamics. While our model results indicate a consistent shift in peak runoff timing under increasing rainfall intensities, real-world flood events are subject to additional complexities, such as drainage blockages, infrastructure failures, and localized variations in flow resistance, introducing uncertainties in peak timing estimations. This highlights the need for validation through real-time flood monitoring and observational data to improve predictive accuracy and ensure that model-based flood mitigation strategies align with actual urban drainage dynamics. As extreme rainfall events become more frequent, effective flood management will rely on a combination of increased storage capacity and enhanced infiltration measures to regulate excess runoff. While this study primarily focuses on hydrological responses and drainage performance, future research should explore how integrating storage-based solutions, green infrastructure, and adaptive land-use planning can strengthen flood resilience. Additionally, advancements in remote sensing, machine learning, and smart monitoring systems could further enhance flood management strategies. A data-driven, integrated approach will enable urban planners and policymakers to develop more effective and sustainable flood mitigation frameworks, reducing both the physical and health-related risks associated with urban flooding.
5. Conclusions
The main conclusions are as follows:
(1) The total surface runoff volume exhibits a more discrete numerical distribution and greater spatial variability with increasing rainfall return periods. The distribution of peak surface runoff values aligns with the total surface runoff volume changes. The peak surface runoff times are primarily concentrated between 52 and 55 min after the onset of rainfall, with a general trend of earlier occurrences as the rainfall return period increases. In the study area, the peak runoff timing shifts forward by approximately one min when the rainfall return period increases from a 3-year event to a 50-year event.
(2) The proportion of nodes where overflow occurs increases from 37.35% for a 3-year return period to 63.24% for a 50-year return period, with a significant increase in overflow duration. This is primarily reflected in a noticeable decrease in the proportions of overflow durations in the intervals of less than 15 min and 15–30 min, while the proportion for durations greater than 30 min increases substantially. Similar to the trend observed in peak surface runoff timing, peak overflow timings also exhibit a tendency to occur earlier with longer rainfall return periods. This shift is primarily controlled by the increased rainfall intensity, which accelerates surface runoff generation and reduces the flow accumulation time. Additionally, under extreme rainfall conditions, the drainage system reaches its capacity limit more quickly, causing overflow to peak earlier. Unlike lower return period events, where initial precipitation may be partially absorbed or delayed by surface retention, high-intensity rainfall events rapidly exceed infiltration and storage capacities, leading to an earlier peak in overflow.
(3) Surface inundation results show significant changes with increasing rainfall return periods. Among the aspects including the inundation area, the average inundation depth, and the maximum water depth, the change in the inundation area is the most pronounced, increasing by 164.9%. The inundation process varies regionally, with some areas being significantly influenced by the rainfall return period. There are notable differences in maximum inundation depth and drainage efficiency among the inundation process curves at the same sampling points.
(4) Areas with high total surface runoff, elevated node overflow, and severe surface water accumulation in the study area are primarily located around Haining People’s Square, Haining Railway Station, the northeast side of Xishan Park, both the north and south roads adjacent to Haining No. 1 High School, and near the intersection of Shuiyueting West Road and Meiyuan Road. These regions require close monitoring during heavy rainfall events.
Despite the valuable insights gained, this study has several limitations. First, the study area is relatively small, and rainfall spatial variations were not explicitly considered during the simulations. Future research could incorporate spatially distributed rainfall to enhance model accuracy. Second, while this study focuses on the impact of rainfall on the urban flood full process, potential changes in land use scenarios were not examined, which may influence future flood dynamics. Third, model uncertainties arise from inherent assumptions and data sources, such as the accuracy of the UAV-derived DEM, which may introduce biases into the results. Lastly, while the findings provide a detailed understanding of urban flooding dynamics in Haining, their transferability to other cities with different hydrological and infrastructural conditions requires further validation. Future studies could address these limitations by incorporating diverse urban settings, real-time monitoring data, and climate change projections to improve model robustness and applicability.