1 Introduction

Floods are the most common and widespread disaster in a tropical country like India (Sahoo and Sreeja 2015). Intense rainfall, dense population, industrialization, illegal settlement along river banks, bank erosion, high tide and urbanization are primary causes for floods in coastal urban floodplains like Surat city (Patel and Srivastava 2013). In addition, climate change will have a key role in intensifying and accelerating the hydrological cycle, which may increase the magnitude and frequency of future floods (Kvočka et al. 2015). Floods are not fully preventable, but the associated hazards could be minimized if flood-prone areas are known in advance (Sahoo and Sreeja 2015). Therefore, to reduce the loss of life and property in floodplains it is necessary to predict the water levels of rivers in urban locations, including the inundation extent for the development of risk maps for insurance assessments and effective management plans for future flood risk reduction (Patel and Srivastava 2013; Timbadiya et al. 2014a). Flood inundation mapping (FIM) and identifying the flood risk zones are primary steps for formulating any flood management strategy (Sahoo and Sreeja 2015). Understanding the effects of flood inundation in terms of area, depth and time is mandatory for efficient flood risk management (Sahoo and Sreeja 2015).

Currently, many hydrodynamic models are available for 1D, 2D and 1D/2D coupled hydrodynamic modeling, which allows the simulation of different flood scenarios (Quiroga et al. 2016). Hence, numerical models are important tools for understanding flood events, flood hazard assessment and flood management planning. Salimi et al. (2008) have integrated the Hydrologic Engineering Centre’s River Analysis System (HEC-RAS) simulation model and geographic information system (GIS) to get the areal extent and depth of flooding. The flood water levels along the 79-km-long Kalu River in Sri Lanka were simulated using the 1D HEC-RAS hydrodynamic model to reduce flood damages (Nandalal 2009). NIH (2009) used HEC-RAS to simulate the flow in River Ganga between Buxar and Mokama to estimate the flood hazard and risk. Masood and Takeuchi (2012) assessed the flood hazard of mid-eastern part of Greater Dhaka by developing a flood hazard map through 1D hydrodynamic simulation on the basis of a digital elevation model (DEM) data and hydrological field observations. Timbadiya et al. (2014a, b) have applied successfully the 1D HEC-RAS and MIKE 11 model for prediction of stage hydrograph at Lower Tapi River under the unsteady flow conditions. ShahiriParsa et al. (2016) have studied 1D HEC-RAS and CCHE2D to assess and predict the flood depth and spatial extent of flood in the Sungai Maka floodplain, Kelantan state, Malaysia. Khattak et al. (2016) presented the paper showing application of HEC-RAS in combination with ArcGIS, to develop floodplain maps for part of Kabul River in Pakistan. Rahmati et al. (2016) suggested that analytical hierarchical process (AHP) and GIS technique are promising for making reliable prediction on flood extent and can be used for assessment of the flood hazard potential, specifically, in data-scarce regions. Although 1D modeling approaches could be useful in some contexts, mainly for artificial channels, it presents several limitations for overflow analysis (Srinivas et al. 2009). When water begins to overflow, it becomes a 2D phenomenon and the use of a 2D model is more suitable. Mignot et al. (2006) have carried out the application of 2D shallow-water equation for flood modeling and mitigation planning in a dense urban area. Carrivick (2006) has demonstrated the capability of a 2D hydrodynamic model (SOBEK) for reconstructing characteristics of a high-magnitude outburst flood, and the results provide better understating of spatial and temporal hydraulics and high-magnitude flow phenomena, geomorphological and sedimentological processes. Gallegos et al. (2009) studied dam break flood inundation of southern California using BreZo, an unstructured grid, Godunov-type, finite volume model that solves the 2D shallow-water equations. Quiroga et al. (2016) have successfully applied the new HEC-RAS version 5 for flood hazardous assessment of the Mamore River flood and showed the 2D capability of HEC-RAS model to generate flood depth, flow velocity and flood duration. Thus, 2D numerical models have been successfully applied for flood modeling (Pathirana et al. 2011; Poretti and De Amicis 2011; Quiroga et al. 2013). A comparison of 1D, 2D and integrated 1D–2D hydraulic models was done by Werner (2004) which shows that integrated 1D–2D models perform better than 1D and 2D models. Liu et al. (2015) have proposed a simple and efficient method to couple hydraulic connection between the channel and the flood detention basin and constructed coupled 1D/2D models for a real flood simulation for the Jiakouwa flood detention basin, China.

LISFLOOD-FP model developed by Bates and De Roo (2000) has been tested to estimate the flood inundation on river reach scale, and this consists of a one-dimensional kinematic wave approximation for channel flow solved using an explicit finite difference scheme and a two-dimensional diffusion wave representation of floodplain flow. The model was applied to a 35-km reach of the River Meuse in the Netherlands. Syme et al. (2004) have utilized TUFLOW 2D/1D hydrodynamic flow model to simulate the floods in the Centre of Bristol, UK. Chatterjee et al. (2008) used MIKE FLOOD to assess the effectiveness of a proposed flood emergency storage area at the middle Elbe River, Germany, in reducing the flood peaks. Recently, Timbadiya et al. (2014a) have successfully applied the MIKE FLOOD model for the prediction of flooding stages in a Lower Tapi River (LTR) and concluded that an integrated 1D/2D model produced better results than the 1D and 2D models. For Koiliaris River, China, Vozinaki et al. (2017) demonstrated that 1D HEC-RAS and combined 1D/2D HEC-RAS simulations with 1-m resolution DEM showed a better performance than the calibration and verification process of the models with 5-m resolution DEM. In addition, it was indicated that the combined 1D/2D HEC-RAS model performs better than the 1D HEC-RAS model for a specific study reach by using topographic data at a high spatial resolution.

Although the 1D/2D coupled hydrodynamic models have shown the capacity to reproduce flood stages and flood inundation in the aforementioned papers, more case studies around the world are still needed so that the performance and lessons with such models could be assessed and learnt, especially in developing countries where severe floods have potential to cause devastating damages. Thus, the present study has aimed to produce a 1D/2D couple hydrodynamic model for Surat city, Lower Tapi Basin, which is situated 100 km downstream of Ukai Dam and 19.4 km upstream of mouth of River Tapi and experienced the catastrophic flood in the year of 1994, 1998 and 2006. The peak discharge of about 25,770 m3 s−1 released from the Ukai Dam in 2006 was responsible for a disaster. During this catastrophic flood, 75–77% of various zones of Surat city were under inundation, resulting in INR 21,000 crores property losses (2.9 billion Euros) and 300 people died (Patel and Srivastava 2013). Lack of flood warning information and low-lying areas in Surat city caused major disaster in 2006 flood. To prevent such a flooding situation in the future and reduce the uncertainty of inundation in low-lying areas, the present work is carried out using the 1D/2D couple HEC-RAS hydrodynamic modeling. Recently, the new HEC-RAS 5.0.1 has the added capability of 2D modeling along with 1D. Since HEC-RAS is freely available, it has huge potential in helping water engineers around the world in tackling flood risk problems and a case study using the latest HEC-RAS is very relevant to water engineering community. For modeling work, the release from the Ukai Dam and tidal level for the flood 2006 is considered. The flood inundation, flood depth and flow velocities for the flood event 2006 are simulated. The work is validated with the observed flood depth and regional flood level maps.

2 Study area and data used

2.1 Hydrological aspect of River Tapi

Tapi River has a total length of 724 km, out of which the 214 km is in Gujarat state, and it meets the Arabian Sea in the Gulf of Cambay approximately at 19.2 km west of Surat city (CWC 2000–2001).The Tapi covers an area of approximately 3837 km2 in Gujarat state. The length of the river from the Ukai Dam to the Arabian Sea is considered the Lower Tapi River (LTR; Fig. 1), which is estimated as 122 km. The average bed slope of the river between Ukai Dam and Hope Bridge is 0.00045 and up to the sea is 0.00001 (Table 1). The Lower Tapi River consists of two inline structures named Kakrapar weir and Singanpur weir as well as five major bridges across River Tapi at Surat city (Patel and Srivastava 2013). Four major river gauge-discharge stations named Kakrapar weir, Ghala, Singanpur weir and Hope Bridge are situated on LTR (Fig. 2). The Ghala station is monitored by Central Water Commission (CWC), and the others are monitored by SIC. Hope Bridge is located at Surat–Olpad–Sahol road, 103.3 km downstream of Ukai Dam, which is designed for a high flood level (HFL) (GTS-RL +11.5 m). Based on the gauged data at Hope Bridge, the safe and danger level for Surat city is decided. Before the 2006 flood event, the prefix warning level at Hope Bridge was 8.0 m for the corresponding discharges of 11,328 m3 s−1 while the maximum 12.5 m water level was observed with the corresponding discharges of 25,770 m3 s−1 in 2006 flood (https://www.suratmunicipal.gov.in/Bridgecell/).

Fig. 1
figure 1

Location of Tapi Basin, Lower Tapi Basin, and Lower Tapi River with Surat city

Table 1 Distance between different stations and average bed slope of Lower Tapi River
Fig. 2
figure 2

Lower Tapi River with inline structure, gauge-discharge stations and bridges

2.2 Surat City

Surat city is located in Gujarat; it is known for its textile trade, diamond cutting and polishing industries, situated 100 km downstream of Ukai Dam and 19.4 km upstream of the mouth of River Tapi. Surat is divided into seven zones, i.e., west zone, central zone, north zone, east zone, south zone, southeast zone and southwest zone (Fig. 1). Its zone boundary covers 126.52 km2 as per the SMC zone map of 2006. The Surat city is bounded by latitude 21°06″–21°15″N and longitude 72°45″–72°54″E (Fig. 1) and falls in Survey of India (SOI) map number 46C/15, 16. Surat had a population of 4.5 million in the 2011 census, making it the second largest city in the state of Gujarat, after Ahmedabad (https://en.wikipedia.org/wiki/Surat). Surat city forms an arc of a circle, the bends enclosed by its walls stretching for about a mile and a quarter along the bank of Tapi (https://www.suratmunicipal.gov.in/). From the right bank of the river, the ground rises slightly toward the north, but the height above mean sea level is 13 m. The topography is controlled by the river and is flat in general and the general slope is from northeast to southwest. Furthermore, the city can be divided into two geomorphic units, namely coastal zone and alluvial area. The coastal area represents marshy shoreline with an extensive tidal flat stretch intercepted by estuaries. Alluvial deposits from the River Tapi cover the alluvial area. The area is covered by recent alluvium of the Quaternary Age. The alluvial plain is characterized by the floodplain of the River Tapi and River Mindhola where there is a thick alluvial cover. The alluvial plain merges into a dry, barren, sandy coastal zone. The coastal area around the river is covered by mud. The marine deposits underlie the alluvium. The alluvium consists of sand and clay layers. The climate of Surat city can be broadly divided into four seasons: summer, rainy, autumn and winter. Summer for three months from March to May, rainy season from June to September, autumn from October and November and the winter is from December to February. The summers are quite hot with temperatures ranging from 37.8 to 44.4 °C. The climate is pleasant during the monsoon, while autumn is temperate. The winters are not very cold, but the temperatures in January range from 10 to 15.5 °C. The average annual rainfall of the city has been 1143 mm. The city has experienced the catastrophic floods in the years of 1933, 1959, 1968, 1970, 1994, 1998 and 2006. It has been estimated that the single flood event, which occurred during 7–14 August 2006, in Surat and Hazira twin-city, resulted in the deaths of 300 humans and property damage worth INR 21,000 crores (Patel and Srivastava 2013). After the 2006 flood, the Surat Irrigation Department and SMC have carried out the embankment (levees) improvement work in and around Surat city. It is noted that a total of eight improvement schemes have been completed on the right bank whereas seven schemes have been completed at left bank side (Fig. 3). Bank protection work in about 11,558 and 8700 m is completed on both the right and left banks of River Tapi. Approximately, INR 125.60 crores was spent on construction of embankments against the sanction amount of 146.00 crores. In addition, flood retaining walls of 3920 m in length have been constructed downstream of Sardar Bridge to Umara village, Fulpada (732 m), Ash. Samshan (130 m), Aswan Kumar (616 m), Vaidraj (171 m), Amroli RT wall (945 m), Utran RT wall (385 m; Fig. 3); approximately 37.15 crores were spent against the sanction amount of INR 41.15 crores. The right and left bank embankments RLs have been improved significantly up to 16.55–21.21 m and 16.00–18.40 m, respectively, against the maximum 12.5 m gauge level measured in 2006 flood. Since 2006, no major flood has been observed. However, there is a growing concern that climate change, illegal settlement along the bank of River Tapi, emergency dam releases and uncompleted embankment work could lead to increasing flooding risk of Surat city.

Fig. 3
figure 3

Key map of Tapi bank protection work (Source Surat Irrigation Circle (SIC), 2016)

2.3 Data used

River cross section, bank RL and distance are the major input for 1D modeling. Detailed 299 cross sections of River Tapi showing bed and bank RL at an average interval of 150 m to 200 m are collected from SMC and SIC, Government of Gujarat, India, in AutoCAD format just after the 2006 flood (ESM_1.dwg). The sections were surveyed by Chetan Engineers, survey and mapping consultants in May 2007 and handed over to SMC. The survey was carried out in two phases: firstly from Singanpur weir to Ukai Dam for river sections L6A–R6A to L201–R201 with the chainage of 100.490 km and secondly, from Singanpur weir to Arabian Sea for section LD1–RD1 to LD85–RD85 and with the chainage of 21.635 km. Symbols used for right bank sections are R or RD and for left bank L or LD. River Tapi steeply falls 29 m in-between sections L154–R154 and L62–R62 (Kakrapar weir to Dhoran Pardi village), and beyond the section L62–R62, the river falls gradually from 5 to 10 m near Kamrej, Kathor, Varacha, Amroli and Singanpur villages. The hourly discharge from the Ukai Dam in 2006 is collected from SIC. The tidal level during the flood event is collected from Gujarat Maritime Board, Gandhinagar. The discharge from Ukai Dam in 2006 and the tidal level are considered for upstream and downstream boundaries. The gauge and discharge data on hourly basis of Mandvi, Ghala, Singanpur weir and Hope Bridge are collected from CWC, SWDC and SIC. The flood level map prepared after 2006 flood is collected from SMC. The details of a key map of the bank protection work, details of cross section of the earthen embankment (levees) and details of retaining wall are shown in Figs. 3, 4a, b and 5a, b. Levees progress or completed work, top RL of left bank and right banks are collected from drainage division, SIC (Table 2)

Fig. 4
figure 4

a Detail cross section of retaining wall, b photograph of retaining wall (Source Surat Irrigation Circle (SIC), 2016)

Fig. 5
figure 5

a Detail cross section of earthen embankment (Levees), b photograph of levees (Source Surat Irrigation Circle (SIC), 2016)

Table 2 Details of Tapi bank protection work in Surat city

For 2D modeling, SRTM 30- and 90-m grid interval data are downloaded from http://earthexplorer.usgs.gov/. Zone boundary and 0.5 m contour interval maps of the Surat city are collected from SMC. The digitized contours are converted into TIN, and later it was converted into a 5 m × 5 m grid raster format using ESRI ArcMap 10 toolbox. The river cross section, SRTM and Surat contours were interpolated together using the ordinary kriging method (ESRI ArcMap 10) to produce a high-resolution DEM (Fig. 6a, b). The data were saved in Virtual Raster Translator (.vrt), Hierarchical Data Format (.hdf) and Tagged Image File (.tif) Format for further use in the HEC-RAS 5.0.1. Multi-temporal satellite images, IRS P6 LISS III data of 2005–2006 periods, were utilized for land use/land cover generation (Patel and Nandhakumar 2016). A soil map of the study area has been collected from National bureau of Soil Survey and Land Use Planning (NBSS & LUP). Topographic sheets no. 46G/3, 4, 7, 8, 11 and 12 having a 1:50,000 scales were collected from the Survey of India (SOI), Ahmedabad.

Fig. 6
figure 6

a DEM of Tapi River 5 × 5, Surat 5 × 5, SRTM 90 × 90, b DEM of Tapi River 5 × 5, Surat 5 × 5, SRTM 30 × 30

3 Modeling

This study is focused on the development of 1D/2D coupled hydrodynamic modeling for Lower Tapi Basin through new HEC-RAS 5.0.1 published by USACE. At the first stage, flood event 2006 is simulated without bank protection works, and secondly, the model is run considering bank protection work with the 1D/2D unsteady flow environment. The 1D and 2D Saint-Venant equation is considered in simulating both cases.

3.1 1D/2D coupled hydrodynamic modeling

The 1D HEC-RAS model is already developed so that the work is further extended in the 1D/2D environment. The HEC-RAS 5.0.1 is fully solved in using the 2D Saint-Venant equation (Brunner 2016b; Manual 2016; Quiroga et al. 2016):

$$\frac{\partial \zeta }{\partial t} + \frac{\partial p}{\partial x} + \frac{\partial q}{\partial x} = 0$$
(1)
$$\frac{\partial p}{\partial t} + \frac{\partial }{\partial x}\left( {\frac{{p^{2} }}{h}} \right) + \frac{\partial }{\partial y}\left( {\frac{pq}{h}} \right) = - \frac{{n^{2} pg \sqrt {p^{2} + q^{2} } }}{{h^{2} }} - gh\frac{\partial \xi }{\partial x} + pf + \frac{\partial }{\rho \partial x}\left( {h\tau_{xx} } \right) + \frac{\partial }{\rho \partial y}\left( {h\tau_{xy} } \right)$$
(2)
$$\frac{\partial q}{\partial t} + \frac{\partial }{\partial y}\left( {\frac{{q^{2} }}{h}} \right) + \frac{\partial }{\partial y}\left( {\frac{pq}{h}} \right) = - \frac{{n^{2} qg \sqrt {p^{2} + q^{2} } }}{{h^{2} }} - gh\frac{\partial \xi }{\partial y} + qf + \frac{\partial }{\rho \partial y}\left( {h\tau_{yy} } \right) + \frac{\partial }{\rho \partial y}\left( {h\tau_{xy} } \right)$$
(3)

where h is the water depth (m), p and q are the specific flow in the x and y direction (m2 s−1), ξ is the surface elevation (m), g is the acceleration due to gravity (m s−2), n is the Manning resistance, ρ is the water density (kg m−3), τ xx , τ yy and τxy are the components of the effective shear stress and f is the Coriolis (s−1) (Quiroga et al. 2016)

Initially, a 2D computation mesh is generated for Lower Tapi Basin. This computation domain is defined by a close polygon, and the computation cells are aerated inside the polygon. This means that the computation mesh can be a mixture of 3, 4, 5 and maximum 8 side cells. The 90 m × 90 m computation point spacing is selected for LTB which generated the total 497,820 grid cells. Such grid was selected in order to stay close to the original DEM (SRTM 90 × 90). Similar 30 m × 30 m cell spacing is selected for 2D flow area generation for LTB for DEM (SRTM 30 × 30) which generated the total 4,484,708 grid cells. The selected equations are solved with an implicit finite volume algorithm. The finite volume solution approximates the average integral on a reference volume and allows the more general approach to unstructured meshes. Hydraulic property tables are computed before starting calculations. Elevation–volume relations are computed for each cell, and elevation–hydraulic properties relationships are computed for every computational cell face, similar to the cross section preprocessing in 1D. At the second stage, SA/2D area connection option is used to locate the levees and retaining wall inside the of 2D flow areas (Fig. 7). 11,643.58- and 10,123.94-m-long levees are created on right and left bank of Tapi surrounding Surat city. 1391.11- and 6606.2-m-long retaining wall are created on right and left bank of Tapi. After the SA/2D area connection, the 2D flow area is generated which makes 4,483,424 cells for 30 m × 30 m cell spacing for DEM (SRTM 30 × 30) grid. Then, the equations are solved with an iteration scheme with maximum 20 iterations with initial condition time 1 h and initial condition ramp up fraction 0.5. For 1D/2D coupled hydrodynamic simulation, the present study uses the two different types of boundary conditions. For 1D simulation, the release from the Ukai Dam in 2006 (flood hydrograph) and tidal level in the sea are considered for the upstream–downstream boundary conditions along with TS gate opening for Singanpur weir under the unsteady flow condition. Flow hydrograph (Ukai Dam release) and stage hydrograph (tidal level) are considered for upstream and downstream boundary conditions for 2D simulation. The roughness resistance was estimated based on supervised classification scheme in Erdas Imagine 10. The classification of land use patterns was derived for entire Surat district including LTB and floodplain of Surat city. The major land use/land covers were classified into seven categories, and their Manning’s roughness values ‘n’ assigned are for agriculture (0.07), buildup (0.2), forest (0.035), grass land/grazing land (0.045), wastelands (0.025), wetlands (0.12) based on the suggestions by Chow (1959) and Chow et al. (1988).

Fig. 7
figure 7

HEC-RAS geometry with levees structures

In order to ensure the stability of the model, the time steps were estimated according to the Courant–Friedrichs–Lewy condition (Brunner 2016b; Manual 2016):

$$C = \frac{{V\Delta T}}{{\Delta x}} \le 1.0\, \left( {{\text{with}}\;{\text{maximum}}\;C = 3.0} \right)$$
(4)

or

$$\Delta T \le \frac{{\Delta x}}{V} \;\left( {{\text{with}}\;C = 1.0} \right)$$
(5)

where C is the Courant Number, V is the flood wave velocity (m s−1), ΔT computational time step(s) and Δx is the average cell size (m) (Brunner 2016b). The velocity of river flow as per the observed date is taken as 3.5 and 3.0 m s−1 near Hope Bridge. This value is considered for iteration in Eq. 5; the time step for 90-m grid is selected 20 s, and 30-m grid is selected for 10 s. The model is simulated under the unsteady flow condition, and the flood inundation (depth), flood velocity, water surface elevation (WSE), arrival time, duration for each hour are obtained.

4 Results

The 2006 flood event is simulated for the time period of 5th August 24 h to 10th August 03 h, and the model is run for total 100 h duration. The flood depth, water surface elevation, velocity, arrival time, duration and flood inundation for seven zones are simulated. The model is simulated without bank protection work (ESM_2), and furthermore, to find the possibility of inundation in future, it is also run under the bank protection (ESM_3) work like levees and retaining wall constructed after the year 2006. The other modeling parameters are considered as per the previous section. Lastly, the simulated results are validated with the regional flood level map and spatially located observed flood depth.

4.1 Flood simulation without bank protection work

The flood event 2006 is simulated under 1D/2D coupled hydrodynamic unsteady flow condition. The water depth at the simulated locations is obtained by subtracting the ground levels from the corresponding simulation levels. The outputs are taken at every 3 h interval for flood extent (Fig. 8). A simulated result shows that on 7th August 03:00 h with the corresponding release of 10,101 m3 s−1 was the beginning of flood event, and area near SVB Bridge of Adajan and d/s of Singanpur weir, and Rander of west zone were first locations to become most affected by the flood. At the same time, between 7th August 06 h and 8th August 03 h, the area exposed to different flood depths increases rapidly; then, it remains almost constant for the west zone (Fig. 9). A total of 24.88 km2 of the west zone was under inundation at 8th August 09 h (Table 3). The discharge versus the area under inundation for various zones were calculated and are shown in (Table 3). At 18:00 h 9th August, 7.20 km2 area of central zone was inundated, while for north zone inundated area was 15.21 km2. With the same day and time constraints, 12.05 km2 area of south zone and 18.18 km2 area of southwest zone were submerged. East zone was 11.99 km2 underwater at 15 h, while at 21 h, 9.31 km2 area of southeast zone was flooded. Altogether, at 18 h 9th August, 98.75 km2 area was inundated which was the maximum noted. In connection with percentage, 76.94% area of the city was submerged at the above said day and time (Figs. 9, 10, 11; Table 4). Surat city is located 100 km2d/s of Ukai Dam, and water released from Ukai takes about 10 h to reach the city. A maximum discharge of 25,770 m3 s−1 was released from Ukai Dam at 6:00 a.m. Considering an average river velocity of 3.5 and 0.51 m s−1 in the floodplain, it may take 10–12 h to make the city flooded.

Fig. 8
figure 8

Simulated flood inundation of Surat city in 2006 corresponding the release from Ukai Dam

Fig. 9
figure 9

Discharge–area inundation curve of different zones with and without levees

Table 3 Time, Ukai Dam release and area under inundation in km2 with and without levees structure
Fig. 10
figure 10

Discharge–percentage area inundation curve of different zones with and without levees

Fig. 11
figure 11

Flood depth map of Surat city 9th August 18 h, 2006

Table 4 Time, Ukai Dam release and  % area under inundation with and without levees structure

In west zone, Singanpur weir, Rander, Usmani park, Choksi Wadi, Yoginagar and Adajan areas were 4–5 m submerged (Fig. 11).In central part of west zone, Pankaj Nagar, Jogini Nagar, Deepmala soc, Mahadev Nagar are flooded by 3–4 m. In central zone, area surrounding Sindhiwad was 3–4 m underwater. Katargam and Naliyasheri were 1–2 m flooded. Major east zone was flooded by 0–1 m water, while north zone and Ishwar Nagar soc by 3–4 m. Southwest zone was 1–4 m, south zone was 1–3 m, while southeast zone was moderately flooded. Figure 12 shows the water surface elevation of various zones on 9th August 18:00 h. Velocity of water is marked 0.51 m s−1 in west zone from Singanpur weir to downstream at Sardar Bridge, whereas at upstream maximum velocity was 1 m s−1. In south, southeast, southwest, east and north zones, maximum velocity observed was 0.51 m s−1 (Fig. 13). Looking to lower velocity in major part of flood-prone area, water was retained, and it affected the people and their valuables significantly.

Fig. 12
figure 12

Water surface elevation (WSE) map of Surat city, 9th August 18 h 2006

Fig. 13
figure 13

Velocity distribution map of Surat city, 9th August 18 h 2006

Figure 14 shows that the amount of time an area is inundated as percentage of the total simulation time period (Brunner 2016a). The figure also signifies the flood propagation; the cells with higher percentage are also the first ones to get flooded. The west zone has the highest percentage time, so it inundates more compared to the north zone, southwest zone and southeast zone. The range of inundation starts from 20% up to 70%. It shows that west zone is under inundation up to 70 h. It means that the people residing in this area are difficult to evacuate during flood time.

Fig. 14
figure 14

Percentage time inundated map of Surat city

Figure 15 shows the arrival time in hours from a specified time in the simulation when the water depth reaches a specified inundation depth (threshold) (Brunner 2016a). In this study, the arrival time is derived at different flood inundation depths. For 2 m flood depth, the arrival time is bifurcated from 0 to maximum 96 h as per the water released from the Ukai Dam. Water achieves 2 m depth in major portion of the west zone in 30–40 h, whereas the central zone, southwest zone and southeast zone take 60–70 h to get flooded. The north zone has a similar case as the west zone; it gets flooded in 30–40 h. The south zone and few portions of the east zone have the least chance to be affected by flooding, and the water takes 90–96 h to reach up to 2 m depth. Hence, there is enough time to evacuate the people from the low-lying areas. Similarly, the results show the time to arrive at particular places for a water depth of 2.5, 3, 3.5, 4, 4.5, 5, 5.5 and 6 m (Fig. 15).

Fig. 15
figure 15

Flood arrival time in hours, during depth of a 2 m, b 2.5 m, c 3 m, d 3.5 m, e 4 m, f 4.5 m, g 5 m, h 5.5 m, i 6 m

Figure 16 shows the duration in hours for which water depth exceeds a specified flood depth (threshold). RAS has ignored multiple peaked events. Once a depth threshold is reached, the duration continues until the depth has completely receded for the event (Brunner 2016a). The duration has an inverse relation with the arrival time. Arrival time that will reduce the duration of flood water at specific depth will be intensified. The duration of flood water at depth of 2 m for west zone is 60–70 h which shows that the flood water was retained more in west zone compared to the south zone and east zone. A major portion of the north zone has a duration of 65–70 h at depth of 2 m. The details of flood inundation with various depth and duration are shown in Fig. 16.

Fig. 16
figure 16

Flood duration in hours, during threshold flood depth of a 2 m, b 2.5 m, c 3 m, d 3.5 m, e 4 m, f 4.5 m, g 5 m, h 5.5 m, i 6 m

From the analysis and observed map, the west zone and north zone are low-lying areas and were significantly affected by the 2006 flood. The curve for submerge area versus release from the dam is very steep for west zone and north zone. The 84% area of west zone was under inundation at the discharge of 10,101 m3 s−1 released from the Ukai, while for central zone, north zone, east zone, southwest zone, south zone and southeast zone, figures are 9.44, 26.16, 0.27, 10 and 0%, respectively.

Overall, 75–77% area of Surat city was underwater in flood 2006. It has a chance to inundate various zones more in a future flood event. In addition, it has been noted that after the 2006 flood, SIC has started to improve the bank protection work along the left and right bank of River Tapi. To check the possibility of future flood and inundation of different zones under the same release conditions, the same flood event has been simulated under the bank protection work (levees and retaining wall), which is described in the subsequent section.

4.2 Sensitivity analysis of 1D/2D modeling

For 1D flow validation, the simulated river flow at Hope Bridge is compared with the observed stages at 2006 flood. It shows that the simulated stages at Manning’s ‘n’ 0.025 are best matched with the observed values; the R 2 value is 0.937 (Figs. 17, 18). Furthermore, the validation is also carried out for the floodplain. The observed and simulated flood depths at various locations are compared. The accuracy of the validation is dependent on the precision of contours. Present DEM of Surat city has been generated from 0.5-m contour interval with 5 m × 5 m grid. It is observed that at 9th August 18 h, the Surat city was under the maximum inundation. The depths obtained at various zones at this time period are considered for validation. The survey was carried out for the west zone and central zone with help of differential geographical positioning system (DGPS) and electronic distance measurement (EDM). The location map of the observed points is shown in Fig. 19, whereas Fig. 20 shows photographs of high flood level (HFL) at different places on 8th and 9th August 2006. The flood inundation is validated by two different approaches. In the first approach, the simulated depths are compared with the observed photograph for various places. It has been seen that the Paradise Apartment and circuit house situated in central zone were having observed depth of 1.55 and 0.85 m, respectively. The same place falls under the depth of 0–1 and 1–2 m in flood depth map. It shows the results are promising and prove the sensitivity of 1D/2D modeling. Similarly, the observed flood depth at Parshvnagar Apartment, Sargam Complex, LIC Complex and Ascon Plaza is also compared with the simulated depth and shows the good correlation (Figs. 19, 20). At the second stage, the simulated flood depth is compared with the observed flood level maps (Figs. 20, 21) prepared by the SMC after 2006 flood. It has been seen that the Paradise Apartment and circuit house fall under the blue color which shows the level of 3–5 ft (0.91–1.52 m), which indicates the good correlation with the observed depth, and hence, results can be used for flood mitigation analysis. However, the acquired observed points are not enough to validate the entire simulated depth map; hence, more survey points and research fund is needed for better validation.

Fig. 17
figure 17

Comparison of observed and simulated stages at Hope bridge, release from Ukai Dam 2006

Fig. 18
figure 18

Scatter plot of observed versus simulated water level at Nehru (Hope) Bridge

Fig. 19
figure 19

Google earth image, location points of observed flood depth, DGPS points and zone boundary overly map of simulated flood depth of 9th August 18 h 2006

Fig. 20
figure 20

Photograph shows the observed flood depth (indicated by red line) at 8th and 9th August 2006 at various places of Surat City

Fig. 21
figure 21

Observed flood levels map of flood 2006, Surat city (Source Surat Municipal Corporation (SMC)

4.3 Flood simulation with the bank protection work

As described in an earlier section, the major flood protection work (embankments—levees, flood retaining wall) was constructed along the left and right banks of River Tapi after 2006. After its construction, it was noted that no major floods were subsequently observed in Surat city. It is estimated that the Surat city is safe against the discharge of 16,990 m3 s−1 (as per the expert from SIC). To check the possibility of inundation at various discharge releases from the Ukai Dam, the entire modeling is simulated under the bank protection work. The modeling parameter has been considered as described in the modeling section.

As described earlier, the water takes 10–12 h to make the city flooded. If the same discharge was released from the Ukai Dam in future considering the same stages, then the simulated result shows the Surat city will be under inundation for 24.22, 2.08, 0.19, 0.26, 0.0, 3.71 and 0.0 km2 areas of west, central, north, east, south, southwest and southeast zones, respectively, for the corresponding release of 14,430 m3 s−1 from Ukai Dam. The simulated results show that the west zone has the maximum chance to get flooded in such a future flood event due to uncompleted bank protection work at d/s of SVP Bridge, whereas the north zone is safe. The comparison of areas under inundation and in percentage with and without levees is shown in (Fig. 22; Tables 3, 4).

Fig. 22
figure 22

Simulated flood inundation of Surat city with levees

5 Discussions

Considering the limitation of 1D hydrodynamic modeling described earlier, a few additional limitations should be considered for 1D/2D couple hydrodynamic modeling (Figs. 23, 24).

Fig. 23
figure 23figure 23

a Photograph shows flood retaining wall at d/s of SVP Bridge, left bank of River Tapi. b Photograph shows the bank protection work does not exist d/s of SVP Bridge on the right bank of River Tapi. c Photograph shows the construction just d/s of the levees

Fig. 24
figure 24

a Photograph shows the position of right bank levees between Singanpur weir and Nehru (Hope) Bridge. b Photograph shows the slum pockets are situated u/s of levees

  1. 1.

    It is assumed that the hydrological processes like infiltration, evaporation and precipitation directly on the river are small and are assumed to be neglected, although the dry soil and heavy precipitation at LTB can affect the simulation results.

  2. 2.

    It is assumed that the levees and retaining walls existed as per the key map provided by the SIC, but no levees or retaining wall are observed at d/s of SVP Bridge (Fig. 21a, b). In addition, in many places at d/s of SVP Bridge, the compound wall is considered as flood retaining wall. In this condition, the simulated results may affect significantly which confirms additional protected city than the actual.

  3. 3.

    The bank protection work located in HEC-RAS model is based on Google earth image and expert advice, although a GPS survey is required to find the actual length and position of flood retaining structures.

  4. 4.

    At present, HEC-RAS cannot be used for modeling bridges in 2D flow area due to unavailable tool. In this condition, 2D model is simulated without any hydraulic structures across the Tapi River.

  5. 5.

    For 2D modeling, the river DEM is generated from sections collected after 2006 flood. After one decade, the bed RL of few sections may be changed which could affect the velocity of the flow and arrival time.

  6. 6.

    Figure 21c shows the society in west zone, which is situated just d/s of the earthen embankment. In reality, it affects the velocity of flow in 2D, and as a result, it affects the hydraulic simulation.

  7. 7.

    LU/LC is produced by the help of IRS P6 LISS III data of 2005–2006 periods; it has significant chances to change the LU/LC in the last decade which will affect the roughness coefficient (‘n’) of the floodplain. In this condition, it will affect depth, duration, velocity, recession and arrival time of the flood.

  8. 8.

    Aggradational and degradational features and the its related time series analysis for flood inundation mapping are not performed in this research because none of the stations are available at d/s of Ukai Dam on sedimentation. Ghala is the only station which measures the discharge and water quality data. Under this condition the 1D/2D model is executed without the simulation of sediment transport.

6 Conclusions

The study has explored the applicability of the new HEC-RAS version 5.0.1 for flood inundation analysis in a 1D/2D environment. It is an applicable tool for decision makers to explore in advance the possibility of flood velocity, depth, arrival time, recession and duration at as specific location in floodplain. Through the simulated results, the decision makers will take the appropriate decision in precise time to reduce the death toll and property losses. The salient research finding is summarized herewith from the 1D/2D couple hydrodynamic modeling:

  1. 1.

    It is identified that the HEC-RAS simulation time depends on 2D flow area computation, levees cell spacing and computation interval. Through the trial and error method, it is identified that the optimum computation setting are: point spacing 50 × 50 m, levees cell spacing 50 × 50 m and computation interval of 15 s. The entire simulation under unsteady flow condition runs in 16 h. The system used for simulation has Intel (R) core (TM) i3-4005U CPU 1.70 GHz, 4 GB RAM, 64-bit OS. Further decrease in grid size will increase the run time up to 3–3.5 days.

  2. 2.

    West zone is the low-laying area in Surat city; the discharge versus submergences curve for west zone is steep, and it has high chances to inundate in a future flood of the similar size to the 2006 flood. Flood rescue process for this zone must be started first to reduce the death ratio.

  3. 3.

    It is identified that the present literature lacks the study of flood inundation with levees structure which leads to in adequacy. To increase the realism for future flood inundation, 1D/2D hydrodynamic model is simulated considering the levees. Results show significant effect of levees on flood inundation areas. At present, the north zone is safe against the discharge of 14,158 m3 s−1.

  4. 4.

    The study shows that the west margin of the River Tapi is the most hazardous one; it has bigger flood extent, deeper flood depths and longer flood duration. In flooded areas, the water has a velocity lower than 0.50 m s−1.

  5. 5.

    It has been noted that the levee at right bank between the Singanpur weir and Hope Bridge is situated approximately 180 m away from the bank of the Tapi River (Fig. 22), so that the slum pockets (area of 365,525 m2) and river front situated in-between cannot be protected through levee structure and hence have maximum probability to get affected through small flood (8495 m3 s−1).

  6. 6.

    In 1D modeling, comparison of River Tapi stages at Hope bridge with and without tidal wave conditions are nearer, while in 1D/2D modeling the simulated stage is quite high which means stages are affected by tidal waves or floodplain roughness. It needs more investigation for accurate modeling.

  7. 7.

    It is a prime requirement to reduce the data deficiencies at Lower Tapi Basin. In future, appropriate DGPS and precise hydraulic and the hydrological survey will reduce the uncertainty for 1D/2D couple hydrodynamic modeling.

  8. 8.

    Presently, at 14,429.68 m3 s−1, major zones of Surat city are safe against flood inundation. If water rises and accelerates gradually, then the same inundation conditions will be followed as in 2006. It shows that present levees are not enough to fully protect the Surat city against 25,770 m3 s−1 release from Ukai. It is a prime requirement to develop the advance flood forecasting and warning system for Surat city along with structural measures.

  9. 9.

    It is necessary to develop the center of excellence for climate change and flood mitigation analysis, which in future provides the common platform to the young researchers to compare the modeling work for the same case study. In a nutshell, it will remove the uncertainty and help to produce potential 1D/2D coupled flood modeling to apply for similar cases of the coastal urban flood in the world.

This study provides strong supportive evidence of the potentiality of new HEC-RAS 5.0.1 for flood inundation modeling. The assessment of the HEC-RAS with respect to this peculiar aspect is an important step for successful and improved development of the hydrodynamic model and thus can provide important assistance in building flood mitigation strategies for any similar cased worldwide. The study will also provide guidance to the authorities for significant dam operation and expansion of levees in future.