1. Introduction
Baiyangdian is located in Baoding City, Hebei Province, with a longitude of 115°45′–116°07′ E and a latitude of 38°44′–38°59′ N. It has a water area of 366 square kilometers and is the largest freshwater lake in the North China Plain. “Hebei Xiong’an New District Planning Outline” pointed out that the scope of dredging should be reasonably delineated, the ecological dredging of the lake should be realized scientifically and orderly, the internal pollution should be eliminated, the ecological environment of aquatic animals at the bottom of the water body should be repaired, the environmental quality of the lake should be improved, and the water quality of Baiyangdian should be gradually restored to III-IV category [
1]. At the end of 2018, Xiong’an New Area had completed the treatment of livestock and poultry breeding, domestic waste cleaning and renovation in Dianzhong village and dianbian village, garbage cleaning politics within two kilometers on both sides of the river, treatment of industrial wastewater discharge standard, industrial solid waste and hazardous waste cleaning and renovation, toilet renovation of Dianzhong village and dianbian village, and upgrading of sewage treatment plant, etc., which is expected to be further improved The water quality of Baiyangdian Lake needs to start from the direction of internal pollution control. “Hebei xiong’an New District Planning Outline” states that carbon emissions should be strictly controlled, carbon sink space should be protected, and carbon sink capacity should be enhanced. Baiyangdian is the lung of North China and a huge carbon pool, including water carbon sink, reed carbon sink, aquatic animal carbon sink, etc. Aquatic organisms absorb carbon dioxide from the air during growth, and their bodies settle in the sludge after death. Part of the carbon re-enters the carbon cycle under the action of microorganisms and other animals, and part of the carbon stays in the sludge and becomes a carbon sink [
2]. The dredging and cleaning of eutrophic algae and other operations to eliminate endogenous pollution to improve water quality will reduce the content of nitrogen, phosphorus and other polluting elements in the water while re-emitting their fixed carbon into the air, increasing carbon emissions, and reducing carbon sinks in the sediment, which is inconsistent with the goal of improving carbon sink capacity. [
3].
Robert Bueya Suami, Luca Giorgio Bellucci, Agnieszka Baran et al. studied the relationship between organic matter content in sludge and water pollution, and they suggested that cleaning up sludge can reduce the content of nitrogen and phosphorus in water [
4,
5,
6]. Qin Yong, Kenneth Fortino et al. studied the relationship between organic matter and carbon sinks in sludge [
2,
7]. But they did not consider the contradiction between sludge cleaning and carbon sink reduction. The paper starts by reconciling the contradiction between endogenous pollution and carbon sink of water bodies. Based on the actual situation of Baiyangdian sludge and reeds, the paper explores the reasonable scope of dredging by calculating the carbon sink reduced by reducing the unit nitrogen and phosphorus concentration in the water body by dredging activities and the carbon sink increased and carbon and nitrogen absorbed by increasing the reed area and provides suggestions for the coordinated development of improving the quality of Baiyangdian water bodies and enhancing the carbon sink capacity.
2. Theoretical Basis and Research Scope
2.1. The Water Quality of Baiyangdian Lake
At present, the water quality of Baiyangdian is class IV, which is slightly polluted and slightly eutrophicated. The reasons that affect the quality of water body include natural pollution and man-made pollution. Man-made pollution is mainly caused by human life and production activities, including industrial wastewater pollution, agricultural pollution, domestic sewage pollution and water pollution caused by urban domestic garbage. At the end of 2018, Xiong’an New Area had completed the treatment of livestock and poultry breeding, domestic waste cleaning and renovation in Dianzhong village and dianbian village, garbage cleaning politics within two kilometers on both sides of the river, treatment of industrial wastewater discharge standard, industrial solid waste and hazardous waste cleaning and renovation, toilet renovation of Dianzhong village and dianbian village, and upgrading of sewage treatment plant, basically realized the control of man-made pollution.
The natural pollution is mainly caused by changes of natural laws and the pollution of water source by minerals in soil to water, including sand content, plant nutrients and sludge. When there are a lot of oxyge-consuming pollutants in water, aerobic microorganisms will biodegrade these pollutants and consume dissolved oxygen in water at the same time, which makes oxygen consuming microorganisms unable to survive and the anaerobic microorganisms proliferate rapidly, leading to the deterioration of the water body and the inability of aquatic organisms to survive [
8].
The oxygen consumption process of the degradation of oxygen-consuming organic pollutants by sediment conforms to first-order kinetic reaction, and the oxygen consumption rate increases with the increase of sand content. Plant nutrients refer to the algae and aquatic plants that seriously interfere with the purification of water quality, which can increase the biochemical oxygen demand, and the excessive nutrients in the water body will cause eutrophication. Sludge includes sediment, animal and plant corpses and feces. The sediment mainly comes from a large amount of mineral-free precipitation in water caused by soil erosion, sandstorm, and debris flow. Such sediment will weaken the sunlight of aquatic organisms, cover fish holes, hinder the growth of water organisms, thereby affecting the quality of water bodies [
9]. There are a lot of aquatic animal and plant corpses and fish manure in the sludge bottom. Fish growth 1 kg can produce 162 g organic manure, including protein 50 g, lipid 31 g and carbohydrate 81 g, total nitrogen 30 g and 7 g total phosphorus [
10]. Nitrogen, phosphorus, and various metal elements are indispensable elements for life. Animals and plants contain a large amount of nitrogen and phosphorus elements. These animal and plant corpses lead to a large amount of nitrogen and phosphorus in the sludge bottom.
Fish feces and aquatic organism corpses sink into the sediment by sedimentation, making the sludge become an important storage reservoir for elements such as nitrogen and phosphorus in the Baiyang Lake water body [
2]. At present, the accumulation of nitrogen and phosphorus in the sludge is too high, and it is released to the overlying water body by diffusion, which becomes the internal pollution of Baiyangdian water body. Even if the external pollution is controlled, the sludge can still have a great impact on the water quality of Baiyangdian Lake. Therefore, cleaning the sludge in the lake is one of the effective ways to improve the quality of the water body.
2.2. Baiyangdian Carbon Sink
Wetlands, forests, and oceans are listed as the three major ecosystems in the world, accounting for about 6.4% of the earth’s surface area, providing a living environment for 20% of the same species on the earth, with irreplaceable ecological functions and enjoying the reputation of “kidney of the earth” [
3]. Wetlands generally have high primary productivity, Vegetation can act as a carbon sink through photosynthetic absorption of carbon dioxide in the atmosphere, aquatic organisms can sequester carbon through growth, and aquatic organisms become sludge after precipitation to achieve carbon sequestration. The total area of Baiyangdian is 366 square kilometers, and the average annual water storage capacity is 1.32 billion cubic meters. The carbon sink of Baiyangdian Wetland includes reed carbon sink, aquatic carbon sink and water carbon sink [
11].
Reed carbon sink refers to the process, activity and mechanism of reed absorbs and stores carbon dioxide from the atmosphere. Through photosynthesis, reed absorbs carbon dioxide from the atmosphere and fixes it in vegetation and soil in the form of biomass, thus reducing the concentration of carbon dioxide in the atmosphere. The reed in Baiyangdian Lake is not allowed to be harvested after it is mature. When the reed withers, the above-water part will wither naturally in the water, part of the carbon will re-enter the carbon cycle under the action of microbial decomposition, and the remaining part will become sludge partial precipitation to realize “permanent carbon fixation” [
12].
Aquatic biological carbon sink refers to the process, activity, and mechanism by which aquatic organisms absorb and store carbon dioxide during their growth. A large amount of organic matter brought in by surface runoff is decomposed into inorganic substances by microorganisms and then absorbed and utilized by algae and aquatic plants [
3]. Aquatic animals accumulate carbon in their bodies by preying on various animals and plants, so as to achieve the effect of carbon fixation. After the death of aquatic organisms, some of the corpses are called the food of other organisms, and the carbon in them enters the carbon cycle, and the remaining carbon is precipitated into sludge [
13].
Water carbon sink refers to the process, activity and mechanism of absorbing and storing carbon dioxide from the atmosphere through water. The amount of carbon dissolved in water is related to temperature, pH, and water volume, but temperature and pH are difficult to be interfered with artificially, so the volume of water can be increased to increase carbon sink. The main body of water carbon sink is Baiyangdian Lake.
2.3. Research Content and Scope
In the surface water environmental quality standards, except for nitrogen and phosphorus, the limit values of other metal elements and all kinds of pollution elements in the three kinds of standards change slightly, only phosphorus and nitrogen change greatly.
Table 1 shows the standard limits of some basic items of surface water environmental quality standards [
14]. Metal elements and other pollution elements are mainly caused by human factors. At present, Xiong’an has strengthened the control of pollution, and its control is not related to the reduction of carbon sink, so it is not considered. One of the main causes of phosphorus and nitrogen production is internal pollution. Since the sludge is mainly half-decayed animal and plant corpses, its phosphorus and nitrogen contents are high, which is the main source of phosphorus and nitrogen in the water body, and there is a large amount of organic matter in the sludge. Cleaning up the sludge will cause organic matter to re-enter the carbon cycle and become a carbon source. Therefore, the scope of the study is to reduce the amount of carbon sink by dredging to reduce the content of phosphorus and nitrogen in water.
3. Analysis on the Contradiction between Water Quality and Carbon Sink
The contradictions between endogenous pollution control of water quality and carbon sink is mainly the contradiction between cleaning algae and carbon sink, contradiction between cleaning sludge and carbon sink, and contradiction between reducing nitrogen and phosphorus in water and reed carbon sink.
In order to control the eutrophication of water body, it is necessary to regularly clean the eutrophic aquatic plants. The cleaned algae will be decomposed by microorganisms and made into feed to re-enter the carbon cycle, reducing the carbon sink of Baiyangdian Lake (
Figure 1). However, in order to avoid eutrophication of Baiyangdian Lake, it is unavoidable to clean the algae, and the contradiction with the carbon sink of Baiyangdian Lake is irreconcilable, so the impact of cleaning up the algae on the carbon sink is not considered [
2].
Sludge mainly affects water quality by releasing and diffusing pollutant elements into the water body. By increasing the oxygen consumption rate of itchy microorganisms and reducing the oxygen content in water to make the water eutrophicated, so it is necessary to clean up the sludge [
8,
10]. However, the sludge itself is a huge carbon pool. There are dead bodies of animals and plants in the sludge. If it is salvaged, the carbon in the carcasses will be decomposed by microorganisms and re-enter the carbon cycle, which will reduce the carbon fixation in Baiyangdian Lake.
Reeds grow above the surface of the water and cannot form dominant groups in the water. The sediments are fine in grain size, and the contents of nitrogen, phosphorus and organic matter are also high, the soil is fertile, which is conducive to the growth and development of reed and is conducive to the carbon storage and carbon fixation capacity of reed [
15]. However, the higher content of nitrogen, phosphorus and organic matter are not conducive to the improvement of water quality, which contradicts the improvement of water quality in Baiyangdian Lake. The higher content of nitrogen, phosphorus, and organic matter in the sludge contributes to the growth of reeds, salvaging the sludge will destroy the environment for the growth of reeds, reduce the carbon sequestration efficiency of reeds, which is not conducive to the role of Baiyangdian as a carbon sink [
16].
In order to avoid eutrophication in Baiyangdian Lake, it is unavoidable to clean up algae, and the contradiction with carbon sink in Baiyangdian Lake is irreconcilable. Therefore, the carbon sink caused by algae-cleaning is not calculated. The concentration of nitrogen and phosphorus required for the growth of reed is above 40 and 5 mg/L, and the nitrogen and phosphorus in sludge are much higher than this value. Therefore, in class IV~II water quality goals, the reduction of nitrogen and phosphorus has little impact on the growth of reed, which can be ignored [
17]. Silt removal is an effective but not the only way to improve water quality. A model for calculating the amount of carbon dioxide released per unit of water quality improvement is established, and the optimal cleaning range of sludge is found from the perspective of carbon sinks through the calculation results.
3.1. Research Hypothesis
Liu Xin, Yang Xiaoxuan and others calculated the TN and TP content of Baiyangdian sludge by establishing simulation models: the contents of TN and TP in different areas of Baiyangdian Lake are different, and the differences are large, which are 1230.8~9959.0 and 344.4~915.4 mg/kg respectively [
13,
18]. For the convenience of calculation, the average value of nitrogen and phosphorus content in the model is 0.79 g/kg and 44 g/kg, ignoring the uneven distribution of nitrogen and phosphorus [
19].
The concentration of nitrogen and phosphorus in the interstitial water near the sludge-water interface and near the water side is approximately equal to the concentration of nitrogen and phosphorus in the interstitial water of the surface sludge bottom and the water body [
20].
Since the content of nitrogen and phosphorus in the sediment is much higher than that in the water, and the deposition amount of nitrogen and phosphorus in the water body is less than the release and diffusion amount of nitrogen and phosphorus in the sludge, so in the process of nitrogen and phosphorus precipitation-release-diffusion, the process of nitrogen and phosphorus deposition in water body is ignored, and only the release and diffusion process of nitrogen and phosphorus in sludge is considered.
The impact of the reduction of nitrogen, phosphorus, and various metal elements on the growth of reeds is not considered.
3.2. Modeling
The decrease of a certain element content in water body means the decrease of release flux and diffusion flux [
10,
12]. According to the decrease of the element in the water body, the percentage of the decrease in the emission flux is calculated:
where
α is the reduction of release flux (mg/m
3 * d),
V is the volume of Biangbiang Lake (m
3), Δ
i is the amount of change of nitrogen and phosphorus concentration in the water body (mg/m
3),
S is the sludge area (m
2),
T is the time interval (days) of sludge cleaning, and
v is the original release flux (mg/m
3 * d).
According to the calculation formula of release flux and the change of release flux, the change of element concentration in sludge can be calculated [
13,
14].
F is the release flux of elements (mg/m3 * d), θ is the porosity of sludge bottom, D is the diffusion coefficient of elements at the sludge-water interface, and dC/dZ represents the concentration gradient of elements at the sludge-water interface.
After obtaining the element content in the sludge bottom, according to the relationship between the depth of the sludge bottom and the element content, the depth of the sludge to be cleaned is obtained, and the volume of the sludge to be cleaned is obtained [
15,
16]. According to the sludge density and organic matter content, the amount of carbon dioxide released is calculated.
C is the amount of carbon dioxide released (g). S is the area of sludge bottom (m2), h is the height of sludge to be cleaned (m), ρ is the density of sludge (kg/m3), ω is the content of organic matter in sludge (g/kg), μ is the content of carbon in organic matter (dimensionless).
3.3. Calculation Results and Analysis
The sediment layer of Yangqin lake is rich in organic matter, and the sludge bottom is rich in semi-decomposed organic matter of animal and plant residues. Xiong Chunhui and Xue Peiying used sampling to count the depth of the sludge in Baiyangdian: The area with sediment is 200.84 km
2, accounting for 68.8% of the total Lake area, and the area without sediment is 91.27 km
2, accounting for 31.2% of the total Lake area [
20]. The total phosphorus content, total nitrogen content and organic matter content of surface sediment are about 0.79 g/kg, 1.44 g/kg and 20.3 g/kg respectively [
21].
For the content of nitrogen and phosphorus in the water body, the carbon dioxide released per unit content and the depth of sludge to be excavated are calculated at the interval of 0.02 and 0.1 g/m
3 respectively, and the above data is brought into the model to obtain the calculation results (
Table 2).
The relationship between carbon dioxide release and elemental phosphorus content is shown in
Figure 2a, with the decrease of phosphorus content in water, the depth of excavation increases with the decrease of phosphorus concentration of 0.02 g/m
3 (
Figure 2b), which leads to the increase of dredged sludge volume and the increase of carbon dioxide concentration. This is because the phosphorus content decreases with the increase of sludge depth. When the phosphorus content in the water is higher than 0.18 g/m
3, the carbon dioxide emitted by reducing the unit phosphorus concentration tends to be consistent and close to a straight line. This is because the soil excavated within this concentration range is located within 0.1 m depth, and the TP content in the bottom of the soil decreases in the depth of 0.0~0.1 m, and the downward trend tends to be consistent. When the phosphorus content in the water is lower than 0.18 g/m
3, the carbon dioxide emitted by reducing the unit phosphorus concentration increases exponentially. This is because the depth of the soil excavated in the sub concentration range is below 0.1 m, and the TP content in the bottom of the soil has an inflection point near the depth of 0.1 m, which shows a slight downward trend, leading to the need to excavate more soil. The distribution thickness of sludge bottom is mainly 0.05~0.4 m, and the part with excavation depth greater than 0.4 m is calculated by using existing data, which has no practical significance.
The relationship between carbon dioxide release and elemental nitrogen content is shown in
Figure 3a, as the nitrogen content in the water decreases, the depth of excavation is increased for every 0.1 g/m
3 reduction in the nitrogen concentration in the water (
Figure 3b), resulting in an increase in the volume of sludge excavated and an increase in the concentration of carbon dioxide released. The reason is that as the depth of the sludge increases, the nitrogen content in the sludge continues to decrease. When the nitrogen content in the water is lower than 0.6 g/m
3, the carbon dioxide emission and the depth to be excavated increase exponentially.
This is because the TN content in the sediment decreases rapidly in the depth of 0.0~0.2 m. When the nitrogen content in the water is lower than 0.6 g/m3, the exponential change trend of carbon dioxide emission and excavation depth is strengthened. This is because the nitrogen concentration tends to be stable at the depth of 0.2 m, and the decrease trend is not obvious, so more sludge needs to be excavated.
When the concentration of nitrogen and phosphorus in water reaches 0.9 g/m
3 and 0.18 g/m
3 (
Figure 4) [
22], the excavation depth of reducing unit interval phosphorus and reducing unit interval nitrogen element is similar to carbon dioxide emission. When nitrogen and phosphorus exceed this value, the carbon dioxide released by reducing phosphorus content per unit interval is higher than that of nitrogen element, the effect began to weaken rapidly. Therefore, the best advantage of improving water quality by cleaning sludge is that when the concentration of nitrogen and phosphorus reaches 0.9 g/m
3 and 0.18 g/m
3, it is inferior to class III water quality. When the concentration of nitrogen and phosphorus in water exceeds this value, the carbon dioxide released increases exponentially and the opportunity cost is too high.