1. Introduction
The Mediterranean region is particularly vulnerable to extreme weather events, such as isolated high-level depressions (IHDs), which could become more frequent and intense in the context of global climate change. Such events can result in the occurrence of flash flooding, defined as a rapid rise in water levels over a brief period. This phenomenon often surpasses the response capacity of both ecosystems and human infrastructures. In the Valencian Community of Spain, flash floods are a well-known phenomenon due to their recurrence and the significant economic damage and loss of life they cause [
1,
2]. It is evident that such occurrences are also characteristic of regions experiencing monsoons and of tropical hurricane counties. For instance, the Ganges River floods and the Mississippi river overflow as a result of continuous or extreme rainfall are well documented. In the period spanning five days during the Millennium Flood of 2000, India experienced an accumulation of 1200 mm of rainfall [
3], accompanied by a peak flow of 10,400 m
3 s
−1. This event led to the unfortunate loss of over 400 lives. In the United States, the Great Flood of 2011 [
4] saw a total of 500 mm of rainfall recorded over a period of six days. The flow rate of the river was estimated at 65,000 m
3 s
−1. The economic impact was estimated at approximately USD 2 billion and 348 lives were lost, despite the implementation of significant preventive measures in the affected area. There have also been extraordinary floods in Australia; for example, the 2022 Maribyrnong River flooding debacle in Melbourne, Victoria, where 500 houses were affected but no fatalities were reported [
5]. According to Jonkman, Oceania has the lowest flood fatality rate of any region in the world [
6].
A distinguishing feature of the Mediterranean basins is the pronounced disparity in altitude between the coastal mountain ranges and the coastline, with mountains reaching elevations of 1000 m above sea level and a distance from the coast of 50 km or less [
1]. This results in average slopes of 2%, which increase significantly in headwater sections. Given the scarcity and irregularity of rainfall, which occurs on only a few days per year and with high intensity, the hydrographic basin is characterized by the presence of ephemeral temporary streams [
2]. These channels serve to convey water exclusively during the period of rainfall and for a duration of up to one week thereafter. An ephemeral stream is referred to in Spanish as a “barranco” or “rambla”, while it is known as a “ravine” in English, as defined by the Collins Dictionary. They are water courses that only have a flow when there is a period of rainfall that accumulates about 30 to 50 mm in 4 h. For the purposes of this study, we use ravine or ephemeral stream, or “stream” for short.
On 29 October 2024, an exceptional storm event, initiated by an IHD, occurred in the eastern part of the Iberian Peninsula, exerting a profound impact on the catchment areas of the Turia and Magro rivers and the Poyo stream [
7]. The precipitation was characterized by high intensity and magnitude, manifesting in recurrent, brief episodes during a period of only ten hours and mainly in the middle section of the hydrographic basins, where the slope of the land exceeds 2%. This phenomenon resulted in multiple flood pulses [
8], but the nature of flooding that occurred was clearly fluvial. Surface runoff water was rapidly mobilized, resulting in the sudden transformation of typically dry ephemeral streams into the rivers, with considerable volumes of water flowing to the sea as tributaries of the Jucar and Turia rivers and into the Albufera lagoon (flowing by the Poyo and other minor streams). The limited transport capacity of the watercourses in many sites resulted in substantial flooding that exceeded the limits of the river banks, with extensive areas of the alluvial plains near the coast experiencing inundation, extending more than 10 km away from the primary watercourses (
Figure 1) [
7,
9]. Recent assessments of the consequences of this event in Europe have concluded that the results were catastrophic [
10,
11]. According to government reports, the material damage was estimated at approximately EUR 20 billion, and there were 228 deaths.
Since 1989, real-time monitoring networks have been in operation under the title of the Automatic Hydrological Information System (SAIH) of the Jucar Basin Authority (CHJ). The information from these networks is made available to the stakeholders via a web service in real time, with a delay of only 15 min in the presentation of the data (SAIH Jucar) [
12]. The sporadic and unpredictable nature of these events frequently restricts the analytical and evaluative capabilities of the flow data collected by the SAIH. These systems consist of direct and continuous rainfall and level gauges at various sites, riverbeds and reservoirs. These gauges have been under consideration since their initial installation in 1987 by CHJ technicians [
13].
A variety of methodologies exist for the monitoring of watercourses. The timed volume method, also referred to as volumetric flow, is a direct measurement technique employed in cases where a small stream converges at a singular point [
14]. The experimental procedure entails the measurement of the time required to fill a vessel of known volume. This is followed by the calculation of the average flow rate [
15]. This technique is regarded as being simple, economical, and precise for streams of limited size. However, it is not considered to be suitable for wide streams [
14].
Velocity–area methods are predicated on the principle of flow continuity, whereby the velocity of the water is measured and multiplied by the cross-sectional area of the flow [
16]. The following techniques are covered: the float method, the dilution-gauging method, the trajectory method, the current meter method, the acoustic Doppler current profiler method, and the electromagnetic method. The float method is a technique that involves the placement of a floating object in the current. The time taken for the object to travel a known distance is then measured [
16]. The system is characterized by its simplicity and cost-effectiveness. However, its precision is compromised by water turbulence [
17]. The dilution method is a process that involves the introduction of a tracer (e.g., common salt) into the water sample. This is followed by the measurement of its concentration. The flux is then calculated using the measured concentration and known amount of tracer introduced [
18]. The model has been demonstrated to be accurate for turbulent flows [
19]. However, the use of certain chemical tracers requires explicit permission [
20]. In the trajectory method, the total water flow is directed through a pipe [
21], and the flow rate is determined by measuring the velocity of the outflowing stream. The accuracy of the measurement is irrefutable; nevertheless, it does necessitate the expertise of trained personnel and complex calculations [
22]. In the conventional meter method, a rotating device is employed to measure the velocity of water at specific points in the flow cross-section [
23,
24]. The flow rate is determined by multiplying the velocity by the area [
25]. The instrument has been demonstrated to possess a high degree of precision. However, it is costly and appropriate for all categories of streams accessible from walkways, and this is the common method used by technicians of the CHJ. The acoustic Doppler profiler method utilizes sound waves to measure the velocity of particles suspended in the water. This enables the calculation of the flow rate on a continuous basis [
25]. While the method is accurate and non-invasive, it is expensive and requires the use of electronic equipment, as well as trained personnel [
26]. The electromagnetic method, predicated on Faraday’s law, quantifies the water velocity through the magnetic field generated in the flow [
27]. The accuracy of this method has been thoroughly documented [
28] and also is used by CHJ specialists. However, it is imperative to acknowledge that its application is exclusively suitable for currents that can be channeled.
Another methodology that can be employed is the constricted channel flow methodology, which applies the Navier–Stokes equations. This methodology involves the construction of a water passage of known dimensions and geometry. Subsequently, physical calculation is applied to determine the circulating flow. The constriction method in question enables the flow rate to be determined using a predefined table or estimated using a weir equation. The equation under consideration incorporates three variables: the flow rate, the height of the water level, and the width of the crest [
29,
30]. The flume method involves the construction of an artificial open-cut flow structure, which serves to reduce the area of the channel and modify its slope. This phenomenon leads to an augmentation in velocity and a modification in the volume of water that traverses the channel [
31] and is also used by the CHJ in some site gauging work.
The final methodologies are non-contact in nature and include two techniques: remote sensing and particle image velocimetry (PIV). The remote sensing method is employed to estimate the river flow from space. This method utilizes ground-based measurements and satellite data to generate empirical curves that link the water surface area to the flow [
32,
33]. Particle image velocimetry (PIV) is a method of measuring fluid flow that utilizes lasers and cameras to capture the movement of particles in water. This process facilitates the calculation of the flow velocity [
34,
35]. The technology under discussion is characterized by its high level of accuracy; however, it is important to note that its implementation is limited by the necessity for highly specialized equipment and by its applicability to flat terrain [
36,
37].
The substantial increase in the frequency and severity of flooding events is attributed to the effects of climate change, a trend that is projected to intensify in the coming decades. In this context, there is an urgent need to improve our understanding of flood dynamics [
38]. This challenge is particularly evident in the Mediterranean region, where isolated high-level depression (IHD) episodes give rise to flash floods with recurring economic and human impacts.
The evaluation of such extreme events necessitates the employment of both accurate and robust methodologies. However, traditional approaches to estimating return periods often lack reliability under extreme flow conditions, as indicated by the review conducted by González-Cao et al. [
38]. This inherent limitation in conventional methods contributes to the challenges associated with future modeling, particularly in terms of adapting non-stationary Intensity–Frequency–Duration (IFD) practices in the context of a changing climate. The limited availability of projected precipitation records at sub-daily or sub-hourly time scales represents a significant impediment to research in this area, as highlighted in the study by Balacumaresan et al. [
39].
In consideration of the sporadic and unpredictable nature of these phenomena and the constraints on data collection by real-time systems, such as the SAIH, this study employed a post-event empirical methodology. This approach, predicated on the physical evidence left by the flood, facilitates the estimation of the maximum flows reached at key points in the Turia, Magro, and Poyo basins. The fundamental objective is to provide an accurate hydrological characterization of the October 2024 event, thereby identifying the limitations of the hydraulic capacity of the channels and providing essential data for future flood risk management. The post-event empirical analysis developed here provides a crucial methodological innovation by offering estimates of peak flows in a recent disaster scenario where the measurement infrastructure was overwhelmed, providing flows that were indiscernible through other means. The method under discussion addresses the phenomenon of extreme rainfall and its implications for urban/stormwater flooding risk and was validated by calculating the flow according to Manning’s equation. It should be noted that González-Cao et al. [
38] previously highlighted the historical use of this equation in the reconstruction of peak discharges, and its fundamental role in hydraulic modeling. The selection of the roughness parameter, otherwise known as the Manning coefficient, has been shown to exert a significant influence on the numerical outcomes of the simulations. Consequently, the calibration undertaken in this study provides essential empirical data for the development of future models.
3. Results
The sampling points were located as follows: six in the Turia river basin, nine in the Jucar river basin, and ten in the Albufera basin. The precise locations of these points are described in
Table 1 and illustrated in
Figure 2. We indicate the sites included in the Official Network measurements in
Table 1.
Precipitation measurements were recorded at numerous gauging stations, and the resulting numerical data were previously documented in a published article [
49]. However, the distribution map is presented in
Figure A3, which highlights the maximum recorded precipitation amounts over 24 h, with 491 mm in the Poyo stream basin, 406 mm in the Turia river basin, and 291 mm in the Magro river basin. Nonetheless, the majority of the precipitation was concentrated within a span of approximately 12 h, specifically between 10 a.m. and 10 p.m. on 29 October 2024.
Rainfall measurements are influenced by storm wind speeds. Gusts measured between 30 and 60 km/h alter the measurement conditions of the rain gauge. In these cases, rainfall measurements are considered to be underestimated by between 10% and 15%, meaning that the amounts collected would be greater than those indicated.
In the context of the study, the velocity of the water was evaluated using verifiable information obtained from the Huerto Mulet Official Measuring Gauge Station (site 14), which is located on the Jucar river downstream of the Forata reservoir (site 7). The SAIH at this station maintained its functionality, facilitating the acquisition of comprehensive flood data (see
Figure 4). The flood had a substantial impact on the surrounding measuring infrastructures, resulting in the destruction of numerous measuring points (sites 2, 4, 7, 9, 18, and 22). Consequently, the data available at the onset of the episode on the upstream section is the only reliable source of information.
At this site, the water level reached a height of 11.81 m. The flow peak was 1500 cubic meters per second, and the wetted cross-sectional area was measured as 603 square meters (see
Figure 5). Therefore, the mean water velocity in Huerto Mulet was estimated at 2.5 m per second, as calculated by applying Equation (1).
The calculation by Manning’s formula (Equation (3)) requires knowing the slope of the river section (1.2 m/km) and the roughness of the channel (0.18%) since it is regular silt without obstacles and concrete side walls. The calculation of the hydraulic radius was performed using the measured dimensions of the section, which resulted in 7.83 m. Applying the parameters to this site, the result obtained was a velocity of 2.40 m s−1, so the flow measured by this system resulted in 1448 m3 s−1 which is 4% lower than that estimated by the empirical method previously.
The implementation of the average velocity, as calculated by Equation (2), on analogous sites examined within the same basin yielded an estimated flow of 4198 cubic meters per second (m
3 s
−1) through the Magro River within the municipality of Carlet (site 10). This substantial flow had a considerable impact on the bridge within the town, resulting in significant damage. A study was conducted downstream of Carlet, within the municipality of Algemesí, to ascertain the volume of water passing through the riverbed in question. The study determined that the section of the riverbed in question (site 11) only permitted the flow of 608 m
3 s
−1. The estimated flow in Carlet surpassed the capacity of the riverbed at the municipality’s exit, leading to flooding in Algemesí and its surrounding areas. The volume of water that overflowed and caused the flooding in Algemesí was calculated to be 3590 m
3 s
−1. This calculation was based on an estimated 4198 m
3 s
−1 passing through Carlet, with a deduction of 608 m
3 s
−1 of the channel capacity in Algemesí. The results of the study are presented in
Table 2. The
Supplementary Materials Section at the end of manuscript presents links to short videos that show some views of the waters at sites 10 and 11.
It is noteworthy that the Jucar river did not inundate the Alzira area, with a flow at site 13 of nearly 2000 m
3 s
−1, even though the county is historically prone to flooding from the Jucar river. However, on this occasion, the Jucar did not flood the city because the waters of the Magro reached the Jucar downstream of the town. The flow capacity through the river at Poliñá del Jucar (site 14) was 1500 m
3 s
−1, which resulted in a total flow of just over 6000 m
3 s
−1. Subsequently, the water overflowed into the Albufera on the left bank and into the Cullera rice paddy marsh on the right bank (see
Figure 1, which shows a view obtained by the Landsat-8 satellite on 30 October).
Within the Turia river, a watercourse characterized by its similarity in slope and geomorphological characteristics to the Jucar, but with the riverbed more modified, two measurement sites were identified. The data obtained from these sites enabled the estimation of the water velocity to be 2.2 m per second when applying Equation (1). At Repartiment (site 6), a flow rate of 1974 m
3 s
−1 was observed. This flow was able to pass through this section of the river to the sea with ease, as it was modified and designed to allow a maximum flow of 5000 m
3 s
−1. The results pertaining to the Turia river are presented in
Table 3.
The records obtained from site 6 indicate two peaks of flow with a delay of five hours during the flood. The temporal alignment of these events was meticulously observed in the time series of data collected by the SAIH, as evidenced by
Figure 6. A comprehensive visual representation of site 6 is provided in
Figure A4.
With regard to the Poyo stream, the only measurement site that is currently available is located at the intersection with the Madrid A-3 motorway (site 18). This specific measurement is designed to represent water originating from Cheste; nevertheless, it excludes water from the southern mountains, which experienced the most substantial precipitation during the event in question. Consequently, the measurement from this gauge was only representative of half the area of the basin. However, the registered data set, which included 2280 m
3 s
−1, was considered in the analysis. This data set enabled the calculation of an average velocity of 3.5 m s
−1, as calculated using Equation (1). This mean water velocity is considered unusual due to the constructed layout of the site as a broad-crested weir. For this site, we applied the equation of the weir (Equation (4)), and the result for a water level of 5.5 m was 3225 m
3 s
−1, which was more than the registered value because the measuring system was damaged by the flood at about a 4.5 m water level. The velocity of 2.5 m s
−1 was applied to the remaining sections of the stream, specifically at the site where the Poyo stream confluents the Horteta stream (site 21). A flow rate of 5678 m
3 s
−1 was estimated at this location. This estimated flow far exceeded the transport capacity of the Poyo stream itself downstream of Torrent, where the section of the riverbed could only accommodate approximately 800 m
3 s
−1 at the height of Paiporta. Therefore, in the tabulation of the results, the flows were estimated considering a probable velocity of 2.5 m per second, as illustrated in
Table 4.
The Torrent measurement point (site 21) has been observed to accumulate flows that pass through sites 18, 19, and 20. Nevertheless, it is imperative to acknowledge that point 21 encompasses minor tributaries that were not assessed in the present study. The ephemeral streams of Canaleja, Sechara, and Pelos have the capacity to contribute to the flow reaching the estimated total at site 21.
It is evident that the flood’s extensive and devastating impact on the area between Torrent and the Albufera can be attributed to the fact that a maximum of 5678 to 6250 m3 s−1 of water could have passed through Poyo stream by Torrent, and that only approximately 700 m3 s−1 could have passed through Massanassa (site 22), where water had already overflowed by 1 m as the lateral walls were raised.
Furthermore, contributions from the Picassent stream (site 24) and Tramusser (site 25), which are minor streams that flow into the Albufera Lagoon, also reached the Albufera, with their flow spreading over the western area of the rice fields in the first case and the southwestern area in the second case. As shown in
Figure 1, the waters of Tramusser stream display a more pronounced orange coloration in comparison with those located to the east, which are characterized by the overflow of the Jucar and Magro rivers.
Finally, the Pozalet stream (site 23), also known as the Saleta stream in the town of Aldaia, merits mention. The channel under consideration is in proximity to the Poyo stream, situated to the north of it, and shares a parallel route, though it possesses an independent basin. The riverbed’s initial course became hidden within the orchards that were established between Xirivella and Picanya, and its paleochannel ultimately terminated at the Turia river. However, the construction of the diversion of the New Turia riverbed has resulted in the detention of its waters by this infrastructure, with the stream only spilling over into the river when the water level exceeds the lateral retaining walls of the Turia river. This has resulted in the formation of a damming area upstream and a flood on the right bank of the new Turia riverbed. Approximately 10 m3 s−1 of the flow is diverted through a channel to the Poyo stream before reaching the town of Aldaia. The consequence of this was that the calculated flow of approximately 455 m3 s−1 overflowed in several locations around the A-3 motorway where the “Bonaire” shopping center is located. This flow circulated towards the town. A part of it was diverted towards the Poyo stream, and most of it was directed towards the town following its channelling through a 15 m-wide channel, which could barely accommodate 60 m3 s−1. This caused significant damage to the houses near the riverbed. As a result, the waters advanced towards the newly formed Turia riverbed, where they converged with the flooding caused by the Poyo stream. This combination led to substantial inundation of the surrounding fields and urban areas.
To validate the procedure of calculation by the empirical method, we calculated the determination coefficient from the analysis of measured discharge in control sites against the estimated value by applying the Manning equation (
Figure 7). We obtained a coefficient of 0.9905 for the 24 sites measured, with a
p-value < 0.001. Site 18 was excluded because we used the weir equation for the estimation, not the Manning equation.
To demonstrate the validity of this methodology, we calculated
nRMSE and
nMAE between the two data sets, obtaining values of
nRMSE = 3.62% and
nMAE = 2.26%, which indicate small differences that fall within the usual intervals of hydrological measurement estimates. In fact, the graphical representation (
Figure 7) shows how all measurement values are within the 95% confidence forecast interval.
It is noteworthy that the residents of the affected areas reported that the initial overflow occurred around 7 p.m. in the Poyo and Jucar basins, as depicted in
Figure 4. This is consistent with the subsequent dissipation of the floodwaters, which occurred at around 3 a.m. on 30 October. This led to an accumulation of approximately 8 h of flooding in the streets of the towns, resulting in a layer of fine sediment with variable thickness. The sediment exhibited a clayey nature, which significantly complicated its removal due to its plasticity and adhesion properties. In the Turia basin, the flood’s ascent is documented at site 6 at approximately 10:00 p.m. However, no towns were inundated, except some houses near the riverbed for site 1.
To calculate the total contributions, it is necessary to consider the quantities for each basin. Regarding the Turia river, the 1974 m3 s−1 measurement obtained at Quart de Poblet (site 5) is considered. With respect to the Albufera basin, the 5678 m3 s−1 measurement recorded in Torrent in the Poyo stream (site 21) is considered. The following measurements were recorded in other various streams not confluent with the aforementioned: 455 m3 s−1 in Ribarroja on the Pozalet (site 23), 740 m3 s−1 in Beniparrell on the Picassent stream (site 24), 498 m3 s−1 in Almussafes (site 25) on the Tramusser, 4198 m3 s−1 in Carlet on the Magro river (site 11), and 1975 m3 s−1 in Alzira on the Jucar river (site 13). The total flow value was 15,518 m3 s−1, which could appear to be a rather excessive figure. However, an estimation of the volume of water that inundated the rice fields, the Albufera lagoon, and the adjacent areas to the south of the Jucar riverbed reveals a total volume of water of approximately 223 hm3. This figure aligns with the extent of the observed flooding and the levels that were recorded on 30 October 2024 in many places, including the rice fields and Albufera lagoon.
The Turia and Jucar rivers, which collectively contributed approximately 3654 m
3 s
−1 of water to the Mediterranean Sea, exemplify the substantial volume of water that is transported by these rivers. The coloration of the water due to suspended materials and the accumulation of floating vegetation on coastal beaches can be observed in
Figure 1. After the initial inundation, the excess water from the Albufera lagoon and rice fields was discharged into the sea during a week [
49].
A thorough examination of the circulating flows revealed the “bottlenecks” in the hydrological drainage network, which manifested as examples where the downstream section of a channel was smaller in size than the upstream section. The obstruction of the flow of water downstream precipitates an accumulation in the upstream territory, an increase in the level of the channel, and an eventual overflow when the maximum level of the cross-section is attained. In the Turia river, no point has been observed from Pedralba (site 1) to the sea where this narrowing occurs; the design of the new Turia riverbed allows for passage at a maximum flow of up to 5000 m
3 s
−1. Consequently, as this flow was not reached, the water circulated along its designated course without exiting its fluvial terraces of maximum flooding. However, this phenomenon does not occur in the Jucar river and its tributary, the Magro. A study of the Magro river, up to Carlet (site 10), revealed that its section permitted the flow of 4198 m
3 s
−1 without incident in the city. However, from this point onward, the riverbed undergoes a gradual narrowing over 10 km of distance, which finally reduces its capacity to approximately 600 m
3 s
−1 within the channelled section of Algemesí (site 11). Wetted cross-sections of these sites are presented in
Figure 8, with 1679 m
2 being the first one and only 243 m
2 being the second one. As demonstrated in
Figure 9, the overflows on the left bank are apparent (mark 1), with most of the flow traversing the fields and proceeding towards the rice fields of Sueca and the Albufera of Valencia and just in the town of Algemesí (mark 2) flooding the streets and houses.
A comparable phenomenon was observed in the Jucar river. The Benimodo stream transported 575 m
3 s
−1 and its riverbed disappeared before the Jucar riverbed; then, the water flooded the area (
Figure 9, mark 3). After the confluence of Jucar with its tributary, the Magro, the transport capacity of the river was such that it was unable to transport 1000 m
3 s
−1 without overflowing. Consequently, overflows were observed on both the left bank, directed towards the Sueca rice fields and the Albufera lagoon (mark 5), and on the right bank (mark 4 and 6), extending towards the rice fields of Cullera situated to the south, an area that also experienced inundation.
The situation is more complex in the Poyo basin. The presence of areas where the riverbed overflows naturally is indicative of the terrain’s lack of slope. This phenomenon is not unprecedented in history. The configuration of the extant drainage network appears to have been modified by human activity and the convexity as a result of sediment accumulation, possibly due to the periodic flooding that has occurred since time immemorial [
36]. However, the confluence of the Poyo and Horteta streams in Torrent city (site 21) has been observed to be a point of hydrological significance, with a cross-section measuring 2271 m
2 and a recorded water level depth of approximately 18 m in the deepest section of the stream [
40]. The circulation of the flow is restricted in two ways. First, it is unable to pass through the modified channel in the next town Picanya, where the riverbed is located crossing the urban center. Second, the channel has been constricted due to urban growth, reducing its capacity to 300 m
2 at the next town Paiporta and 205 m
2 downstream in the crossing between Catarroja and Massanassa. Consequently, the “bottleneck” that occurs downstream of Torrent, extending slightly further on as the section narrows (
Figure 10), resulted in the overflow becoming generalized within the span of only 8 km separating Torrent and Massanassa (site 22) and flowing to the rice fields of the Albufera. This led to significant flooding, resulting in numerous casualties and substantial material damage.
Previous to control site number 21, there is a historic flood area considered an endorheic area called “Pla de Quart” (
Figure 11, mark 1), where the waters extend into the county and a constructed channel during the 18th century [
36] of only 10 m wide flows to site 21, with a width of 110 m. But 2 km down (mark 2), the width is reduced to 73 m and overflowed the left bank before Picanya town. The cross by Paiporta town reduces the width to 58 m and overflowed the left bank in mark 3, and finally the width is reduced to 35 m before Massanassa (site 22) and overflowed the right bank (mark 4).
The flow damaged the embankment of Poyo stream between the rice fields and water extended widely into the paddies (mark 5). The Picassent stream (site 24) ends in the rice fields at mark 6, reducing the width from 30 m to only 4 m and the waters also extended into the paddies.
Finally, the Pozalet stream (site 23) merits mention, despite its present-day disappearance, as it was formerly located at the exit of the Ribarroja industrial estate. The waters of this stream were dispersed in the surrounding area following the depression of the paleochannel, which is today occupied by buildings of Aldaia town and agricultural land. The outflow of 455 m
3 s
−1 could not avoid inundating all the areas (
Figure 11, mark 8 and 9) in its direction towards the sea. It is imperative to ascertain solutions to the issues pertaining to water circulation.
Figure 12 presents a synopsis of the flows passing through each channel, as depicted in
Figure 2 and
Table 1. This analysis elucidates the phenomenon of peak flows and the occurrence of narrowing in the downstream channel, which causes the overflow of water when the size of the riverbed downstream is smaller than upstream.
4. Discussion
Rainfall in the Mediterranean basin exhibits distinct characteristics compared with monsoon regions or the Mississippi basin. In such regions, flooding is caused by rainfall that while not characterized by high intensity, persists over an extended duration. For instance, in the Great Flood of 2011 [
4], daily accumulations of between 50 and 100 mm were recorded for several days; however, in the Ganges Millennium Flood of 2000 [
3], rainfall exceeded 100 mm per day for a week. This phenomenon occurs when there is continuous and persistent rainfall distributed evenly over a considerable expanse of territory over an extended period. However, in the Mediterranean region, storms are more frequent and occur over smaller areas (in the case of the study, only about 1500 km
2), with a duration of approximately 16 h. These storms result in significant precipitation, with a maximum accumulation of 767 mm over that period [
49]. The average precipitation for the area is 385 mm (rain gauges: n = 7, standard deviation = 209 mm, minimum = 244 mm), indicating a total volume of approximately 578 hm
3. According to our estimate, 40% of the rainfall was transformed into runoff, a finding that aligns with recent studies conducted on cultivated soils, drylands, and urbanized areas [
50].
Considering this data, we can affirm that the event of 29 October 2024 is regarded as one of the most disastrous in the history of the Valencian Community and Spain in terms of casualties (228 deaths) and economic losses (estimated at the time of this study at more than EUR 20 billion). In order to provide a suitable perspective on the magnitude of this hydrological occurrence, it is necessary to compare it with previous extreme episodes in the region. The historic flood of 1957 in Valencia, caused by the Turia river, had two peak flows of approximately 2500 and 3700 m
3 s
−1 as it passed through the city [
51], resulting in the flooding of more than 30 km
2 of the urban and coastal area, with 81 deaths [
52]. As was the case in 2024, two flow peaks were also observed; however, these peaks were of a slightly less magnitude. The 1982 Tous dam breach on the Jucar river resulted in a flow of 10,000 m
3 s
−1 in the lower basin, leading to 20–25 fatalities [
41,
53] and economic losses exceeding EUR 330 million [
54]. A comparative analysis of the 2024 event reveals a substantial increase in the number of casualties when compared with the floods of 1957 and 1982. When evaluated against other significant Mediterranean events, the Valencia flood of 2024 was found to be more substantial in terms of casualties and damage than the most notable floods in France in 2002 [
55] or Italy in the period 1990–2006 [
10]. The Algerian event in 2001 [
56] was the only event to have a higher number of deaths.
In relation to the methodological framework, the empirical method allowed us to satisfy the primary objective of this study, which was to estimate the peak flows in the primary channels associated with the 29 October 2024 flash flood event within the designated hydrological network. The adoption of an analytical and empirical approach in this study over more complex methods, such as statistical or machine learning (ML) methods, is justified by several factors. Balacumaresan et al. [
39] highlighted that despite the existence of stochastic techniques for rainfall disaggregation, such as the Bartlett–Lewis or Random Cascade models, these are characterized by a high degree of complexity and the requirement of extensive statistical efforts, which renders them less suitable for routine industrial practice. Conversely, analytical/empirical approaches offer simplicity and transparency regarding the underlying concepts and provide an advantage by allowing focus on specific aspects of modeling. In the aftermath of a disaster, the requirement for rapid and verifiable estimates serves to underscore the importance of empirical methodologies.
Regarding the main contributions of this study, in relation to the implications for climate change, this study makes a substantial contribution to risk management in a world affected by it. González-Cao et al. [
38] emphasized the importance of numerical modeling of past floods for improving return period estimates and reducing uncertainties. The peak flow data and the identification of “bottlenecks” obtained empirically in this study are an essential input and a critical validation basis for future detailed hydraulic simulations (using 1D or 2D models). This review [
38] highlights the critical influence of the selection of the roughness coefficient (Manning) on the numerical outcomes of simulations, the robustness of which is demonstrated in this study through an R
2 of 0.99. Consequently, the roughness values calibrated empirically in this study (e.g., 0.18% in Huerto Mulet) are valuable input data for refining future models. The same review demonstrates that a significant proportion of historical flood reconstructions concentrate on the analysis of the causes of obstruction (e.g., debris accumulation on bridges or timber transport causing blockages). In contrast to the extant literature on numerical flood modeling, the present study provides a complementary perspective by identifying that structural and anthropogenic reduction in the channel cross-sectional area itself is a primary mechanism of overflow. This empirical evidence can be used to improve flow simulations and mitigation planning.
Understanding the frequency and magnitude of floods is fundamental for designing flood protection infrastructure and for implementing appropriate mitigation measures. In this sense, the main limitations of this study are our results of a probability of 8.8% for the Jucar river basin and 2.5% for the Turia and Poyo basins (see
Table A1) and the return period of 12 years considering the three basins. The primary reason for this is that despite its proximity to reality when considered in conjunction with the historical records that have been consulted since the 13th century, these records have not been incorporated into the calculation [
57]. This is due to the absence of methods for estimating flow during that period, which has rendered it impossible to ascertain the true magnitude of the events in question. Consequently, the data set encompasses only the peak values from the last 80 years. The data demonstrates that according to these 80 years of records, the October 2024 event was the most important in the Poyo basin, the second in the Turia basin, and the third in the Jucar basin.
In terms of governance implications, the empirical identification of the flows that were reached and the flooded areas, particularly the “bottlenecks,” serves to reinforce the necessity of enhancing the hydrological monitoring network. The regional territorial planning tool for flood risk prevention (acronym PATRICOVA) has been shown to establish risk levels and return periods in a conservative manner. The flood of October 2024 had an impact on areas that had not previously been included in the risk limits, including areas to the south and west of the city of Valencia; towns such as Paiporta, Benetússer, Sedaví, Albal, and Xirivella; and areas in the Magro basin (Algemesí, Carlet). A recent study demonstrated the necessity of considering these factors [
58]. It is imperative to update the PATRICOVA to incorporate these regions within the designated risk boundaries, adjusting the zoning and land use regulations accordingly. The magnitude of the 2024 event underscores the imperative to fortify monitoring and management strategies. This is a critical aspect given the predicted increase in both frequency and intensity of IHDs in the context of climate change.
Besides the political and socioeconomic implications, ecological implications must also be considered. From this point of view, this phenomenon had a substantial impact on the downstream ecosystems, including the Albufera of Valencia lagoon. A hydrochemical analysis [
49] conducted on the lake in the post-event period revealed significant alterations in crucial water quality parameters. It is evident that conductivity exhibited a substantial decline, reaching 82% below pre-IHD values. This decline is attributable to the considerable influx of freshwater from the drainage basin. Nutrient levels exhibited notable fluctuations, marked by a substantial increase in nitrate and a concurrent decrease in total phosphorus. Notwithstanding the lagoon’s demonstrable recovery to pre-event conditions within 20–30 days, indicative of the system’s resilience, the magnitude of the transport of dissolved and suspended material by the flood remains indisputable. Moreover, an examination of
Figure 1 reveals that a substantial sediment layer has accumulated in various regions of the lagoon. The detailed quantification and composition of this substantial sediment deposit is a fundamental aspect of understanding the long-term ecological impact. Consequently, one of the future studies will concentrate on research of the accumulated sediment volumes and their chemical properties, thereby augmenting this comprehensive evaluation of the impact of the October 2024 IHD. It is recommended that future research endeavors concentrate on the fields of urban planning and hydraulic engineering, with a view to enhancing the region’s resilience to extreme events. It is imperative to examine the relationship between the magnitude of the October 2024 event and the escalating challenges posed by intensifying flooding due to climate change. This necessitates the urgent modernization of land use planning instruments and the adaptation of communities to rising flood risks. From a hydraulic engineering perspective, it is essential to utilize the empirical findings of this study, particularly the location of “bottlenecks” in the hydrographic network and calibrated roughness values, to guide structural interventions that enhance the capacity of channels and control structures. Furthermore, future studies should incorporate extreme precipitation analysis. The disaggregation methodology could be applied to develop climate-refined Intensity–Frequency–Duration (IFD) curves, which are essential for hydraulic infrastructure design and flood mitigation. The integration of these data into numerical simulations has been demonstrated to enhance conventional methods of estimating return periods, thereby facilitating the development of appropriate mitigation practices and the construction of climate-resilient infrastructure.