1. Introduction
Supercooled water clouds (SWCs) are composed of liquid-phase particles or ice-phase particles and liquid particles with temperatures below 0 °C. The cloud top temperature of clouds containing SWC is generally 0 °C~−40 °C, with significant amounts of supercooled water observed between 0 °C and −20 °C [
1]. In SWCs, cloud droplets below 0 °C are supercooled cloud water or supercooled liquid water (SLW).
SLW plays a crucial role in artificial weather modification. It impacts cloud precipitation, snowfall, and cloud lifetime by affecting ice particles in clouds [
2]. Tabazadeh (2002) proposed a theoretical model, and based on it, they found that the surface crystallization rate of ice in SWC is much higher than the volume-based freezing rate and that the surface crystallization rate depends on the droplet size, temperature, and ambient phase [
3]. Based on airborne in situ observations, Maciel and Diao (2022) considered that ice crystals are initially surrounded by supercooled liquid water droplets, and then, as they grow, pure ice segments are formed [
4]. Furthermore, the concentration and location of SLW determine the location and timing of cloud seeding [
5]. Morrison (2013) utilizes satellite observations to show that differences in the SLW between two regions lead to distinct changes in cloud microphysics after cloud seeding [
6]. Li (2022) uses both in situ aircraft and satellite remote sensing observations to find that in regions seeded with supercooled water, droplets quickly transform into ice crystals, causing cloud-top sinking and precipitation [
7]. Yang (2022) demonstrated that seeding at the height where SLW and ice crystals coexist showed obvious responses in the cloud microphysical properties [
8].
In light of the mentioned factors, the unique characteristics of supercooled water and its role in aviation safety are critical. In aviation, when the aircraft flies through clouds, the SLW suspended in clouds induces the formation of flight ice [
9]. Aircraft icing leads to engine failure and subsequent aviation accidents. Ice accretion on aircraft wings and the deposition or coating of ice on an airplane can damage the aircraft components [
10].
The distribution of SLW has impacts on radiative energy balance, and SLW near the cloud top increases the cloud-top radiative cooling [
11]. Between 40° and 70°S, clouds with supercooled liquid tops dominate the population of liquid clouds, and clouds with supercooled liquid tops contribute between 27% and 38% of the total reflected solar radiation [
12]. In addition, SLW is important for the phase change process in clouds at different stages, and cloud phases regulate climate by affecting radiation [
13]. However, in global climate models, the radiation in supercooled clouds cannot be simulated well, causing deviations in the simulation results of climate models [
14]. For all of the above reasons, SLW strongly influences the weather and climate.
So far, much attention has been paid to the microphysics and radiation equilibrium of SLW, but the impacts regarding the distribution of SWC have received little attention. Hou (2010), based on CALIOP and MODIS global measurement data, found that the highest amount of SWCs is over the land of Europe and East Asia (mainly in China) [
15]. In this study, the author investigates the occurrence and distribution of SLW in mainland China to explore the possible causes of the eastern boundary of the Tibetan Plateau (TP) becoming a high-frequency region for SLW. The motivation of the present study concerns providing references for the scientific implementation of artificial rain, the formulation of aircraft flight routes, and the effect of SWCs on the climate in China.
After analyzing the distribution characteristics of SLW, it was found that SLW is mainly concentrated in the part where the Sichuan Basin borders the TP and SLW. Notably, the transition zone between the eastern boundary of the Qinghai–Tibetan Plateau and the Sichuan Basin has always been a key focus of studies. The eastern edge of the Qinghai–Tibetan Plateau features complex terrain and is influenced by various weather systems, leading to frequent occurrences of extreme summer precipitation [
16]. In winter, the leeward slope effect along the eastern edge of the Tibetan Plateau exacerbates air pollution in the Sichuan Basin [
17]. The complex terrain between the eastern slope of the Qinghai–Tibetan Plateau and the Sichuan Basin creates a topographically dependent atmospheric environment, which is analyzed in this paper to explain the high frequency of SLW on the eastern slope of the TP.
2. Data and Methods
The East Asia–Pacific cloud macro- and microphysical properties dataset was developed using the next-generation geostationary satellite Himawari-8, the dataset includes parameters such as cloud cover (CF), cloud detection (CM), cloud phase detection (CP), cloud type (CT), and supercooled water detection (SWC), with temporal resolution of 1 h and spatial resolutions of 0.1°
0.1° [
18]. Compared to CALIOP and MODIS, this dataset is derived from the Himawari-8 satellite and has been processed using a novel algorithm, resulting in cloud products with enhanced temporal and spatial precision [
19].
The fifth generation atmospheric reanalysis data ERA5 provided by the ECMWF (European Centre for Medium-Range Weather Forecasts) on pressure levels, includes 37 layers of temperature, u-component of wind, v-component of wind, vertical velocity, specific humidity and divergence with pressure levels 1000 hPa–0.01 hPa, and surface pressure (temporal resolution of 1 h and spatial resolutions of 0.25° × 0.25°) [
20].
The MODIS Level-2 Cloud product (MOD06_L2) consists of cloud optical and physical parameters; it is derived using remotely sensed infrared and visible and near-infrared solar reflected radiances, and the infrared channel radiances are used to derive cloud top temperature and cloud top height [
21]. MOD06_L2 consists of parameters at a spatial resolution of either 1 km or 5 km (at nadir), and each MOD06_L2 product file covers a 5 min time interval [
22].
The method for calculating the frequency of SLW involves assigning a value of 1 to each 0.1° × 0.1° grid point that contains SLW per hour and a value of 0 where it is absent. The frequency of SLW is obtained by summing the value of 1 for each occurrence (as Equation (1)). The statistics of CT and CP with SWC are similar. (Similar to the statistics for SLW, the frequency of various CT and CP is denoted by 1 when supercooled water is present and then cumulatively tallied.)
When selecting specific areas, due to the varying spatial resolutions of the utilized data, the chosen regions correspond to irregular high frequency zones of SLW. These are then interpolated to different resolutions, and the approximate region is shown in
Figure 1. Due to differences in the temporal precision of the data, the cloud top temperature (CTT) and cloud top pressure (CTP) of non-supercooled clouds are also included when discussing CTT and CTP. Normalization was employed in the statistical analysis of CTP and CTT (as Equation (2)); (
) is the original data, (
) is the minimum value in the dataset, and (
) is the maximum value. This formula subtracts the minimum value from the original data and then divides by the range (maximum value minus minimum value), and the resulting values will be scaled between 0 and 1.
3. Results
Based on the East Asia–Pacific cloud macro- and microphysical properties dataset, the frequency of SLW and the probability of SLW occurring within clouds are shown in
Figure 2, respectively. The maximum SLW frequency, exceeding 1000 occurrences, is observed at the junction of the Sichuan Basin and the eastern slope of the Tibetan Plateau. In the Sichuan Basin and its adjacent areas, the frequency of SLW ranges from 600 to 1000. A smaller frequency of SLW is distributed predominantly in Southeast China. Overall, the distribution of SLW decreases progressively from the confluence of the Sichuan Basin and the Tibetan Plateau, extending towards the southeastern regions of China. The probability distribution of SLW occurrence in clouds mirrors the frequency distribution of SLW. In the eastern slope of the Tibetan Plateau and within the Sichuan Basin, the probability surpassing of SLW in clouds is significantly higher, exceeding a probability of 42%. In the southern part of the Sichuan Basin and the transitional region between the Sichuan Basin and the Yunnan–Guizhou Plateau, the probability of encountering supercooled water in clouds is above 36%. Previous studies have demonstrated that SWCs are mostly observed over the ocean near the storm-track regions and high-latitude regions [
23]. However, in China, SLW is mainly distributed in mid-latitude clouds. The Sichuan Basin and its surrounding areas exhibit a significantly higher incidence of SLW in clouds than the precipitation-rich Southeast China coast.
Figure 3 further counts the frequency of the occurrence of SLW in different CTs and CP in 2016. It found that SLW almost appears in liquid water clouds (
Figure 3a), and only a small portion was found in mixed-phase clouds in North China (
Figure 3b). According to the statistical analysis of CTs, the frequency of SLW in China mainly occurs in nimbostratus clouds (
Figure 3d). The highest frequency, exceeding 900 occurrences, is found in the elongated belt-like region at the transition between the Sichuan Basin and the eastern slope of the Tibetan Plateau. In the junction of Sichuan, Chongqing, and Guizhou (the transitional zone bridging the Sichuan Basin and the Yunnan–Guizhou Plateau), the frequency of nimbostratus clouds containing SLW exceeds 600. In addition to nimbostratus, SLW is also prevalent in altostratus clouds (
Figure 3c). The highest frequency of altostratus clouds containing SLW, exceeding 400 occurrences, is observed along where the eastern slope of the Tibetan Platea meets the Sichuan Basin. Subsequently, within the Sichuan Basin and the southern part of Guizhou, the frequency hovers around 300.
In general, SLW is predominantly found within the liquid-phase stratiform clouds surrounding the Sichuan Basin. The stratiform clouds are primarily nimbostratus and altostratus. Yu discovered that downstream on the eastern side of the Tibetan Plateau, the dominance of nimbostratus and altostratus clouds resulted in extremely large cloud optical thickness and attributed this to the topography of the Tibetan Plateau [
24]. The work described here suggests the transitional region between the Sichuan Basin and the Tibetan Plateau is a critical area for the distribution of SLW. Therefore, this article proposes that the SLW in China is mainly distributed in liquid-phase stratus clouds that may be impacted by the topographic factors of the Tibetan Plateau. Even a liquid cloud is likely to occur preferentially in the storm region [
14], and though with abundant clouds and many storms passing through southeastern China [
25], the frequency of SLW is far less than that in the Sichuan Basin, which has long been affected by the Tibetan Plateau.
To further verify the above inference, the study selected regions within the inner sections of the Sichuan Basin and along the eastern slopes of the Tibetan Plateau, which are characterized by a higher frequency of SLW, for a detailed analysis as representative areas (
Figure 1). Due to variations in the temporal and spatial resolution of different datasets, the analysis was only including January, February, November, and December, as these months have a higher frequency of SLW and the greatest probability of SLW occurrence in clouds. Concurrently, the months of January, February, November, and December, which are the winter season in the northern hemisphere, provide a suitable environment for SLW due to the lower temperatures relative to other seasons.
In the above conclusion, SLW mainly appears in nimbostratus clouds and altostratus clouds, which basically are liquid-phase clouds. To explore the reason, use MODIS satellite data to statistically measure CTP and CTT for the months of January, February, November, and December. The statistical results are presented in
Figure 4. The distribution of CTP exhibits a multi-peak pattern, with the main peaks occurring between 450 hPa and 700 hPa (
Figure 4a). The temperature distribution at the cloud tops is characterized by a unimodal pattern, predominantly spanning from −20 °C to 10 °C (
Figure 4b). When the cloud temperature is between −20 °C and 0 °C, a large amount of SLW exists [
26]. The predominant range of CTT lies between −20 °C and 0 °C, fostering an environment conducive to the presence of SLW. Furthermore, the CTP primarily resides within the mid-tropospheric layer, signifying that in typical areas during the winter season, mid-level and low-level clouds account for the majority of cloud layers. Mid-level or low-level nimbostratus and altostratus clouds with cloud top temperatures between −20 °C and 0 °C create conditions conducive to the presence of SLW.
Downstream of the Tibetan Plateau, nimbostratus and altostratus clouds often develop from the gradual ascent of moist air, resulting in relatively weak turbulence within the cloud [
25,
27]. In the typical area, SWCs form in an environment with weak ascending air currents. We conducted an analysis of vertical divergence for different months (January, February, November, and December), as shown in
Figure 5. The trend in all four months is relatively consistent. The low-level (from the surface to 800 hPa) divergence is less than 0. The mid–high-level (700 hPa~500 hPa) divergence is greater than 0. It indicates convergence in the low-level and mid-level divergence in the region. This may be related to the Tibetan Plateau acting as a barrier to the westerly winds, with notable effects during specific months (January, February, November, and December) [
28].
Based on ERA5 reanalysis data,
Figure 6 shows the larger-scale annual mean wind and water vapor flux at 850 hPa. It is clear that the blocking of the terrain causes low-altitude westerly airflow upstream of the TP divided into two branches, and then, two air flows bypassing the Qinghai–Tibetan Plateau and the northwestern part of the Yunnan–Guizhou Plateau converge toward the basin this is consistent with previous research results [
29]. Meanwhile, the southern branch of the low-level westerly carries water vapor from the Indian subcontinent and the Bay of Bengal into the Sichuan Basin [
30]. Low-level convergence maintains large-scale stable uplift. However, the moist airflow converging in the basin is obstructed by topography again. We used an ERA5 reanalysis data analysis of integrated water vapor transport (IVT) and wind in the vertical direction at the link between the Sichuan Basin and the Tibetan Plateau (
Figure 7). The low-level airflow in the basin climbs toward the leeward slope of the Tibetan Plateau. The westerly flow, upon traversing the Tibetan Plateau, is considerably slowed down, which leads to pronounced divergence within the mid-tropospheric levels on the Tibetan Plateau’s leeward side (
Figure 5 and
Figure 7). The ascending low-level airflow encounters middle-layer divergence corresponding to the variation in the westerly, which suppresses its further ascent. Due to the westerly airflow blowing toward the basin, the climbing airflow, with a much lower wind speed than the westerlies, subsequently alters its upward direction to follow the westerly flow. From the perspective of IVT distribution (
Figure 7, between longitude 105°E and 104°E), the transmission of water vapor to the Tibetan Plateau is blocked by terrain [
31]. This work posits that within a large-scale environmental context, the topographical influence of the Tibetan Plateau causes low-level moist air currents to ascend from the Sichuan Basin towards the Tibetan Plateau, furnishing favorable conditions for cloud formation. However, divergence in the mid-latitude westerlies curtails the vertical development of clouds, confining them to the mid-troposphere. This also corresponds to the cloud top pressure statistics in
Figure 4, which means that the obstruction of the Qinghai–Tibetan Plateau and the topographical variations between the Sichuan Basin and the eastern boundary of the Tibetan Plateau provides good conditions for the formation and maintenance of SLW.
The frequency of temperature inversions at different heights when SWCs exist in the region is analyzed, as shown in
Table 1. In January, February, November, and December, the height with the highest temperature inversion frequency is 650 hPa, and the temperature inversion mainly occurs between 775 hPa and 550 hPa. Temperature inversion will make the upper air temperature higher than the lower air, causing the upper air to be less dense, hindering the upward movement of the lower air and inhibiting the convective movement of the air [
32]. Temperature inversion not only makes the atmosphere stratification more stable but also reduces the vertical transport of water vapor and lowers the relative humidity of the atmosphere [
33]. The inversion layer also weakens the radiative cooling of the ground so that the lower part of the stratus clouds will not be overcooled, maintaining the stability of the stratus clouds [
34]. As a result, under inversion conditions, stratus clouds are more plausible to form and persist without being destroyed by convective motion and radiative cooling so that SLW can exist for a long time.
5. Conclusions
Using Himawari-8 product, it was found that the high value area of SLW is located in the part where the Sichuan Basin borders the TP and that SLW occurs mainly in nimbostratus and altostratus clouds in these regions. This work analyzes the relevant causes from two perspectives: large-scale weather conditions and local dynamic conditions.
When obstructed by the TP, the low-level westerly airflow splits into southern and northern branches, with the southern branch carrying moisture and converging with the northern branch in the Sichuan Basin. In the Sichuan Basin, the converging airflow encounters the leeward slope of the eastern edge of the Qinghai–Tibetan Plateau, causing the moisture-laden air to ascend the Tibetan Plateau. That provides a favorable large-scale environment for the formation of nimbostratus and altostratus clouds. Simultaneously, the presence of localized temperature inversions contributes to atmospheric stability. Inversions occur at heights concentrated around 650 hPa, while the cloud-top pressure peaks are between 550 hPa and 600 hPa. This indicates that when ascending air forms clouds, it is hampered by inversions, resulting in weaker convection. During this ascent, the airflow encounters the stable mid-level westerlies. The combined effects of westerly-induced divergence, the guidance of ascending airflow by the westerlies toward the basin, and the presence of temperature inversions typically results in the formation of mid-level or low-level stratiform clouds and a few high-level clouds rather than convective clouds. In the winter, temperatures within the mid-to-low troposphere (specifically, cloud interior temperatures) typically range from approximately −20 °C to 0 °C. At these temperatures and altitudes, cloud particles have difficulty spontaneously freezing. As a result, the majority of SWCs remain in a liquid phase that allows for the substantial presence of SLW.
In studies on pollutants in the Sichuan Basin, weather patterns influenced by topography have been categorized into several main types [
29]. Different weather patterns exhibit variations in cloud types and cloud heights as well as differences in the occurrence of SLW. This paper does not analyze the differences in cloud types and supercooled water under different weather conditions. Future research should employ multiple methods to conduct more detailed analyses of the occurrence of SLW occurrence under various weather conditions and topographical influences.