CN113673118B - Method for predicting pH value of lake water body - Google Patents
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 81
- 238000000034 method Methods 0.000 title claims abstract description 27
- CURLTUGMZLYLDI-UHFFFAOYSA-N Carbon dioxide Chemical compound O=C=O CURLTUGMZLYLDI-UHFFFAOYSA-N 0.000 claims abstract description 120
- 229910002092 carbon dioxide Inorganic materials 0.000 claims abstract description 60
- 239000001569 carbon dioxide Substances 0.000 claims abstract description 60
- 241000195493 Cryptophyta Species 0.000 claims description 26
- 238000009792 diffusion process Methods 0.000 claims description 19
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 claims description 9
- 229910052799 carbon Inorganic materials 0.000 claims description 9
- QVGXLLKOCUKJST-UHFFFAOYSA-N atomic oxygen Chemical compound [O] QVGXLLKOCUKJST-UHFFFAOYSA-N 0.000 claims description 6
- 238000004090 dissolution Methods 0.000 claims description 6
- 229910052760 oxygen Inorganic materials 0.000 claims description 6
- 239000001301 oxygen Substances 0.000 claims description 6
- 229920006395 saturated elastomer Polymers 0.000 claims description 6
- 230000012010 growth Effects 0.000 claims description 4
- QGZKDVFQNNGYKY-UHFFFAOYSA-O Ammonium Chemical compound [NH4+] QGZKDVFQNNGYKY-UHFFFAOYSA-O 0.000 claims description 3
- 239000002028 Biomass Substances 0.000 claims description 3
- 241000195628 Chlorophyta Species 0.000 claims description 3
- 238000010521 absorption reaction Methods 0.000 claims description 3
- 230000004060 metabolic process Effects 0.000 claims description 3
- 230000029058 respiratory gaseous exchange Effects 0.000 claims description 3
- 238000001514 detection method Methods 0.000 description 5
- 230000003851 biochemical process Effects 0.000 description 3
- 230000001276 controlling effect Effects 0.000 description 2
- 238000012851 eutrophication Methods 0.000 description 2
- 230000008569 process Effects 0.000 description 2
- 230000001105 regulatory effect Effects 0.000 description 2
- 239000000126 substance Substances 0.000 description 2
- BVKZGUZCCUSVTD-UHFFFAOYSA-L Carbonate Chemical compound [O-]C([O-])=O BVKZGUZCCUSVTD-UHFFFAOYSA-L 0.000 description 1
- 230000005791 algae growth Effects 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000010168 coupling process Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 239000011521 glass Substances 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
- 230000005012 migration Effects 0.000 description 1
- 238000013508 migration Methods 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 235000015097 nutrients Nutrition 0.000 description 1
- 238000004445 quantitative analysis Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 150000003839 salts Chemical class 0.000 description 1
- 239000013049 sediment Substances 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- Y02A20/00—Water conservation; Efficient water supply; Efficient water use
- Y02A20/152—Water filtration
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Abstract
The invention discloses a method for predicting the pH value of lake water, which comprises the following steps: s1, constructing a carbon dioxide concentration control equation, a lake alkalinity control equation and a lake pH value control equation; s2, obtaining predicted lake carbon dioxide concentration and predicted lake alkalinity according to a carbon dioxide concentration control equation and a lake alkalinity control equation; s3, obtaining a predicted lake water pH value based on a lake pH value control equation according to the predicted lake carbon dioxide concentration and the predicted lake alkalinity; the method solves the problem that the existing lake water pH value model can not accurately predict the lake water pH value.
Description
Technical Field
The invention relates to the field of lake water quality monitoring, in particular to a method for predicting the pH value of a lake water body.
Background
The pH value is an important physicochemical index of the lake water ecological system, and can change the pH value of the lake water environment and a carbonate balance system, thereby influencing the key biochemical processes of the lake such as algae growth, sediment nutrient salt circulation and the like. The detection method of the pH value is relatively mature, and mainly comprises methods of glass electrodes and the like. However, the pH value detection method can only grasp the pH value at the detection section and at the detection moment, so that the time-space characteristics of the pH value of the water body can not be grasped, and particularly for large lakes, the detection method is difficult to reflect the time-space heterogeneity of the pH value.
The mathematical model is used as mathematical expression of biochemical process, can quantitatively simulate the space-time characteristics of the biochemical process, and is receiving more and more attention in the field of water environment management in recent decades. However, the current lake water pH model is not yet studied deeply, and there is a need to develop a method for accurately predicting the lake water pH due to insufficient consideration of the coupling process between algae and pH.
The method for quantitatively predicting the pH value of the lake water body is provided, the time-space distribution rule of the pH value of the lake water body is identified, and the method has important significance for researches on physical and chemical properties of the lake, growth and propagation of algae, eutrophication control and the like.
Disclosure of Invention
Aiming at the defects in the prior art, the method for predicting the pH value of the lake water body solves the problem that the existing lake water body pH value model cannot accurately predict the pH value of the lake water body.
In order to achieve the aim of the invention, the invention adopts the following technical scheme: a method for predicting the pH of a body of water in a lake, comprising the steps of:
s1, constructing a carbon dioxide concentration control equation, a lake alkalinity control equation and a lake pH value control equation;
s2, obtaining predicted lake carbon dioxide concentration and predicted lake alkalinity according to a carbon dioxide concentration control equation and a lake alkalinity control equation;
s3, obtaining the predicted pH value of the lake water body based on a lake pH value control equation according to the predicted carbon dioxide concentration and the predicted alkalinity of the lake.
Further, the equation for controlling the concentration of carbon dioxide in the step S1 is:
wherein C is the carbon dioxide concentration of the lake water body, t is time, u is the water flow velocity in the x direction, v is the water flow velocity in the y direction, w is the water flow velocity in the z direction, x, y and z are established space coordinate systems, kx is the diffusion coefficient in the x direction,ky is the diffusion coefficient in the y direction, kz is the diffusion coefficient in the z direction, S 1 Is the carbon dioxide source sink caused by atmosphere exchange, S 2 Is a carbon dioxide source sink caused by algae.
Further, the carbon dioxide source sink S caused by the atmosphere exchange 1 The formula of (2) is:
S 1 ＝K r (C s -C) (2)
wherein K is r C is the exchange rate of carbon dioxide in water body and the atmosphere s The carbon dioxide concentration is saturated in the water body, and the carbon dioxide concentration is saturated in the water body of the lake.
Further, the algae-caused carbon dioxide source sink S 2 The formula of (2) is:
wherein x is algae of certain type, c is blue algae, d is diatom, g is green algae, PN x P, which is the absorption rate of x algae to ammonium x FCD for growth rate of algae x Is a constant of xalgae, DO is dissolved oxygen concentration, KHR x Is the dissolved oxygen half-saturation constant of xalgae, BM x For the metabolism rate of x algae, AOCR is the ratio of carbon dioxide to carbon in respiration, B x Is the biomass of algae.
Further, the lake alkalinity control equation in the step S1 is as follows:
wherein C is a The method is characterized in that the method comprises the steps of taking the alkalinity of a lake water body as t, taking u as time, taking v as the water flow velocity in the x direction, taking v as the water flow velocity in the y direction, taking w as the water flow velocity in the z direction, taking x, y and z as the established space coordinate system, taking Kx as the diffusion coefficient in the x direction, taking Ky as the diffusion coefficient in the y direction and taking Kz as the diffusion coefficient in the z direction.
Further, the lake pH control equation in step S1 is:
wherein,is H + Concentration, K 1 First solubility constant, K, for carbon balance 2 A second dissolution constant, K, being carbon balance w Is the dissolution constant of water, C is the carbon dioxide concentration of lake water, T is the water temperature, e is the natural constant, C a Is the alkalinity of the lake water body, and the pH value is the pH value of the lake water body
In summary, the invention has the following beneficial effects:
(1) The method considers the influence process of algae on the pH value, realizes quantitative prediction of the pH value of the lake water body, and can provide powerful scientific support for water environment management work such as lake eutrophication control and the like.
(2) For lakes with pH values not reaching the standard, the method for predicting the pH value of the lake water body can be used for analyzing and controlling the implementation effect of pH value regulating measures such as the alkalinity of the river entering the lake and the like, and a feasible quantitative analysis means is provided for regulating the pH value of the lake.
(3) For the water diversion project related to the lake, the method for predicting the pH value of the lake water body can be adopted to study the influence of water diversion on the pH value of the lake, and a quantitative study method is provided for the demonstration analysis of the water diversion project.
Drawings
FIG. 1 is a flow chart of a method for predicting the pH of a body of water in a lake.
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate understanding of the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the embodiments, and all the inventions which make use of the inventive concept are protected by the spirit and scope of the present invention as defined and defined in the appended claims to those skilled in the art.
As shown in FIG. 1, the method for predicting the pH value of the lake water body comprises the following steps:
s1, constructing a carbon dioxide concentration control equation, a lake alkalinity control equation and a lake pH value control equation;
s2, obtaining predicted lake carbon dioxide concentration and predicted lake alkalinity according to a carbon dioxide concentration control equation and a lake alkalinity control equation;
s3, obtaining the predicted pH value of the lake water body based on a lake pH value control equation according to the predicted carbon dioxide concentration and the predicted alkalinity of the lake.
The carbon dioxide concentration control equation in step S1 is:
wherein C is the carbon dioxide concentration of the lake water body, t is time, u is the water flow velocity in the x direction, v is the water flow velocity in the y direction, w is the water flow velocity in the z direction, x, y and z are the established space coordinate system, kx is the diffusion coefficient in the x direction, ky is the diffusion coefficient in the y direction, kz is the diffusion coefficient in the z direction, S 1 Is the carbon dioxide source sink caused by atmosphere exchange, S 2 Is a carbon dioxide source sink caused by algae.
Carbon dioxide source sink S caused by atmospheric exchange 1 The formula of (2) is:
S 1 ＝K r (C s -C) (2)
wherein K is r C is the exchange rate of carbon dioxide in water body and the atmosphere s The carbon dioxide concentration is saturated in the water body, and the carbon dioxide concentration is saturated in the water body of the lake.
Algae-derived carbon dioxide source sink S 2 The formula of (2) is:
wherein x is algae of certain type, c is blue algae, d is diatom, g is green algae, PN x P, which is the absorption rate of x algae to ammonium x FCD for growth rate of algae x Is a constant of xalgae, DO is dissolved oxygen concentration, KHR x Is the dissolved oxygen half-saturation constant of xalgae, BM x For the metabolism rate of x algae, AOCR is the ratio of carbon dioxide to carbon in respiration, B x Is the biomass of algae.
Because alkalinity is a conservative substance, only a convection diffusion process exists, and according to the migration and transformation characteristics of alkalinity, the established lake alkalinity control equation is as follows:
wherein C is a The method is characterized in that the method comprises the steps of taking the alkalinity of a lake water body as t, taking u as time, taking v as the water flow velocity in the x direction, taking v as the water flow velocity in the y direction, taking w as the water flow velocity in the z direction, taking x, y and z as the established space coordinate system, taking Kx as the diffusion coefficient in the x direction, taking Ky as the diffusion coefficient in the y direction and taking Kz as the diffusion coefficient in the z direction.
In the step S1, the control equation of the pH value of the lake is as follows:
wherein,is H + Concentration, K 1 First solubility constant, K, for carbon balance 2 A second dissolution constant, K, being carbon balance w Is the dissolution constant of water, C is the carbon dioxide concentration of lake water, T is the water temperature, e is the natural constant, C a Is the alkalinity of the lake water body, and the pH value is the pH value of the lake water body
In this embodiment, the detailed process of obtaining the predicted lake water pH according to the carbon dioxide concentration control equation, the lake alkalinity control equation and the lake pH control equation is as follows:
1) Setting initial conditions and boundary conditions of a carbon dioxide concentration control equation and a lake alkalinity control equation, wherein the pH value is derived variable of carbon dioxide and alkalinity, so that only the initial conditions and boundary conditions of the carbon dioxide concentration and the alkalinity are required to be set. The initial conditions are the carbon dioxide concentration and the alkalinity of the lake at the initial moment of the model, and the boundary conditions are the time series data of the carbon dioxide concentration and the alkalinity of the river entering the lake.
2) Solving a carbon dioxide concentration control equation and a lake alkalinity control equation, and predicting the carbon dioxide concentration and the alkalinity. Substituting initial conditions and boundary conditions of a carbon dioxide concentration control equation and a lake alkalinity control equation into the control equation to solve, and obtaining a prediction result of the carbon dioxide concentration and the alkalinity.
3) Substituting the predicted result of the lake carbon dioxide concentration and the alkalinity into a pH value control equation to obtain the predicted result of the pH value.
Claims (2)
1. A method for predicting the pH of a body of water in a lake, comprising the steps of:
s1, constructing a carbon dioxide concentration control equation, a lake alkalinity control equation and a lake pH value control equation;
s2, obtaining predicted lake carbon dioxide concentration and predicted lake alkalinity according to a carbon dioxide concentration control equation and a lake alkalinity control equation;
s3, obtaining a predicted lake water pH value based on a lake pH value control equation according to the predicted lake carbon dioxide concentration and the predicted lake alkalinity;
the carbon dioxide concentration control equation in the step S1 is as follows:
wherein C is the carbon dioxide concentration of the lake water body, t is time, and u is the water flow in the x directionVelocity v is the velocity of water flow in the y direction, w is the velocity of water flow in the z direction, x, y, z are the established spatial coordinate system, kx is the diffusion coefficient in the x direction, ky is the diffusion coefficient in the y direction, kz is the diffusion coefficient in the z direction, S 1 Is the carbon dioxide source sink caused by atmosphere exchange, S 2 Carbon dioxide source sink for algae;
carbon dioxide source sink S caused by the algae 2 The formula of (2) is:
wherein x is algae of certain type, c is blue algae, d is diatom, g is green algae, PN x P, which is the absorption rate of x algae to ammonium x FCD for growth rate of algae x Is a constant of xalgae, DO is dissolved oxygen concentration, KHR x Is the dissolved oxygen half-saturation constant of xalgae, BM x For the metabolism rate of x algae, AOCR is the ratio of carbon dioxide to carbon in respiration, B x Biomass that is x algae;
the lake alkalinity control equation in the step S1 is as follows:
wherein C is a The method is characterized in that the method comprises the steps of taking the alkalinity of a lake water body as t, the water flow velocity in the x direction as u, the water flow velocity in the y direction as v, the water flow velocity in the z direction as w, the space coordinate system established as x, y and z, the diffusion coefficient in the x direction as Kx, the diffusion coefficient in the y direction as Ky and the diffusion coefficient in the z direction as Kz;
the lake pH value control equation in the step S1 is as follows:
wherein,is H + Concentration, K 1 First solubility constant, K, for carbon balance 2 A second dissolution constant, K, being carbon balance w Is the dissolution constant of water, C is the carbon dioxide concentration of lake water, T is the water temperature, e is the natural constant, C a The pH value is the pH value of the lake water body.
2. The method of claim 1, wherein the atmospheric exchange causes a carbon dioxide source sink S 1 The formula of (2) is:
S 1 ＝K r (C s -C) (2)
wherein K is r C is the exchange rate of carbon dioxide in water body and the atmosphere s The carbon dioxide concentration is saturated in the water body, and the carbon dioxide concentration is saturated in the water body of the lake.
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