CN113673118A - 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 88
- 238000000034 method Methods 0.000 title claims abstract description 26
- CURLTUGMZLYLDI-UHFFFAOYSA-N Carbon dioxide Chemical compound O=C=O CURLTUGMZLYLDI-UHFFFAOYSA-N 0.000 claims abstract description 115
- 229910002092 carbon dioxide Inorganic materials 0.000 claims abstract description 56
- 239000001569 carbon dioxide Substances 0.000 claims abstract description 56
- 241000195493 Cryptophyta Species 0.000 claims description 28
- 238000009792 diffusion process Methods 0.000 claims description 22
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 claims description 9
- 229910052799 carbon Inorganic materials 0.000 claims description 9
- 238000004090 dissolution Methods 0.000 claims description 9
- QVGXLLKOCUKJST-UHFFFAOYSA-N atomic oxygen Chemical compound [O] QVGXLLKOCUKJST-UHFFFAOYSA-N 0.000 claims description 6
- 229910052760 oxygen Inorganic materials 0.000 claims description 6
- 239000001301 oxygen Substances 0.000 claims description 6
- 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
- 230000012010 growth Effects 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
- 238000011160 research Methods 0.000 description 3
- 238000012546 transfer Methods 0.000 description 3
- 230000005791 algae growth Effects 0.000 description 2
- 238000012851 eutrophication Methods 0.000 description 2
- 230000008569 process 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
- 238000004458 analytical method Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000002485 combustion reaction Methods 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
- 238000013508 migration Methods 0.000 description 1
- 230000005012 migration Effects 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 235000015097 nutrients Nutrition 0.000 description 1
- 230000002265 prevention Effects 0.000 description 1
- 238000004445 quantitative analysis Methods 0.000 description 1
- 238000012827 research and development 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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Abstract
The invention discloses a method for predicting the pH value of a lake water body, 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 the predicted lake carbon dioxide concentration and the predicted lake alkalinity according to the carbon dioxide concentration control equation and the lake alkalinity control equation; s3, obtaining a predicted pH value of the lake water body based on a lake pH value control equation according to the predicted lake carbon dioxide concentration and the predicted lake alkalinity; the invention solves the problem that the pH value of the lake water body can not be accurately predicted by the existing lake water body pH value model.
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 a lake water ecosystem, and can change the pH value of the lake water environment and a carbonate balance system, thereby influencing 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 methods such as a glass electrode and the like are mainly adopted. However, the pH value detection method can only master the pH value at the detection section and the detection moment, and cannot master the time-space characteristics of the pH value of the water body, 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 time-space characteristics of the biochemical process, and is more and more concerned by the field of water environment management in recent decades. However, the current research on the lake water body pH value model is not deep, and the problems of insufficient consideration on the coupling process between algae and the pH value exist, so that the research and development of a method capable of accurately predicting the lake water body pH value are urgently needed.
The method for quantitatively predicting the pH value of the lake water body is provided, and the time-space distribution rule of the pH value of the lake water body is identified, so that the method has important significance on research on lake physical and chemical properties, algae growth and propagation, 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 provided by the invention solves the problem that the pH value of the lake water body cannot be accurately predicted by the existing lake water body pH value model.
In order to achieve the purpose of the invention, the invention adopts the technical scheme that: a method for predicting the pH value of a 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 the predicted lake carbon dioxide concentration and the predicted lake alkalinity according to the carbon dioxide concentration control equation and the lake alkalinity control equation;
s3, obtaining the predicted pH value of the lake water body based on the lake pH value control equation according to the predicted lake carbon dioxide concentration and the predicted lake alkalinity.
Further, the carbon dioxide concentration control equation in step S1 is:
wherein C is the dioxide of lake water bodyCarbon concentration, t is time, u is water flow velocity in x direction, v is water flow velocity in y direction, w is water flow velocity in z direction, x, y, z are established spatial coordinate system, Kx is diffusion coefficient in x direction, Ky is diffusion coefficient in y direction, Kz is diffusion coefficient in z direction, S is diffusion coefficient in z direction1For exchange of carbon dioxide by atmosphere2Is the source sink of carbon dioxide caused by algae.
Further, the carbon dioxide sink item S caused by the atmospheric exchange1The formula of (1) is:
S1＝Kr(Cs-C) (2)
wherein, KrThe exchange rate of carbon dioxide and atmosphere in water body, CsThe saturated carbon dioxide concentration of the water body is C, and the carbon dioxide concentration of the lake water body is C.
Further, the algae-induced carbon dioxide sink item S2The formula of (1) is:
wherein x is a certain algae, c is blue algae, d is diatom, g is green algae, PNxIs the absorption rate of the algae on ammonium, PxIs the growth rate of the algae, FCDxIs a constant of x algae, DO is the dissolved oxygen concentration, KHRxIs the dissolved oxygen half-saturation constant, BM, of the algaexIs the rate of metabolism of the algae, AOCR is the ratio of carbon dioxide to carbon in respiration, BxIs the biomass of algae x.
Further, the lake alkalinity control equation in step S1 is:
wherein, CaIs the alkalinity of the lake water body, t is time, u is the flow velocity of water in the x direction, v is the flow velocity of water in the y direction, w is the flow velocity of water 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, and Kz is the diffusion coefficient in the z-direction.
Further, the lake pH value control equation in step S1 is:
wherein,
is H+Concentration, K1First dissolution constant, K, for carbon equilibrium2Second dissolution constant, K, for carbon equilibriumwIs the dissolution constant of water, C is the carbon dioxide concentration of the lake water body, T is the water temperature, e is the natural constant, CaThe alkalinity of the lake water body, the pH value of the lake water body
In conclusion, the beneficial effects of the invention are as follows:
(1) the method considers the influence process of algae on the pH value, realizes quantitative prediction on the pH value of the lake water body, and can provide powerful scientific support for water environment management work such as prevention and control of lake eutrophication and the like.
(2) For lakes with unqualified pH values, the implementation effects of pH value regulation measures such as the alkalinity of lake-entering river flow and the like can be analyzed and controlled by adopting the lake water body pH value prediction method provided by the invention, and a feasible quantitative analysis means is provided for lake pH value regulation.
(3) For water transfer engineering related to lakes, the influence of water transfer on the pH value of the lake can be researched by adopting the lake water body pH value prediction method provided by the invention, and a quantitative research method is provided for the demonstration analysis of the water transfer engineering.
Drawings
FIG. 1 is a flow chart of a method for predicting pH value of water body in lake.
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate the 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 it will be apparent to those skilled in the art that various changes may be made without departing from the spirit and scope of the invention as defined and defined in the appended claims, and all matters produced by the invention using the inventive concept are protected.
As shown in FIG. 1, a method for predicting pH of water body in lake 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 the predicted lake carbon dioxide concentration and the predicted lake alkalinity according to the carbon dioxide concentration control equation and the lake alkalinity control equation;
s3, obtaining the predicted pH value of the lake water body based on the 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 step S1 is:
wherein C is the carbon dioxide concentration of the lake water body, t is time, u is the flow velocity of water in the x direction, v is the flow velocity of water in the y direction, w is the flow velocity of water 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 is the diffusion coefficient in the z direction1For exchange of carbon dioxide by atmosphere2Is the source sink of carbon dioxide caused by algae.
Carbon dioxide sink S caused by atmospheric exchange1The formula of (1) is:
S1＝Kr(Cs-C) (2)
wherein, KrThe exchange rate of carbon dioxide and atmosphere in water body, CsThe saturated carbon dioxide concentration of the water body is C, and the carbon dioxide concentration of the lake water body is C.
Algae guiding deviceExchange of carbon dioxide Source S2The formula of (1) is:
wherein x is a certain algae, c is blue algae, d is diatom, g is green algae, PNxIs the absorption rate of the algae on ammonium, PxIs the growth rate of the algae, FCDxIs a constant of x algae, DO is the dissolved oxygen concentration, KHRxIs the dissolved oxygen half-saturation constant, BM, of the algaexIs the rate of metabolism of the algae, AOCR is the ratio of carbon dioxide to carbon in respiration, BxIs the biomass of algae x.
As the alkalinity is a conservative substance, only a convection diffusion process exists, and according to the migration and transformation characteristics of the alkalinity, the constructed lake alkalinity control equation is as follows:
wherein, CaThe method is characterized in that the alkalinity of a lake water body is shown, t is time, u is the flow velocity of water in the x direction, v is the flow velocity of water in the y direction, w is the flow velocity of water 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, and Kz is the diffusion coefficient in the z direction.
The lake pH value control equation in step S1 is:
wherein,
is H+Concentration, K1First dissolution constant, K, for carbon equilibrium2Second dissolution constant, K, for carbon equilibriumwIs the dissolution constant of water, C is the carbon dioxide concentration of the lake water body, T is the water temperature, e is the water yieldConstant number of combustion, CaThe alkalinity of the lake water body, the pH value of the lake water body
In this embodiment, the detailed process of obtaining the predicted pH value of the lake water body according to the carbon dioxide concentration control equation, the lake alkalinity control equation and the lake pH value 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 a derivative variable of carbon dioxide and alkalinity, so that only the initial conditions and the boundary conditions of the carbon dioxide concentration and the alkalinity are required to be set. The initial conditions are the carbon dioxide concentration and alkalinity of the lake at the initial moment of the model, and the boundary conditions are the carbon dioxide concentration and alkalinity time-series data of the lake-entering river.
2) And solving a carbon dioxide concentration control equation and a lake alkalinity control equation, and predicting the carbon dioxide concentration and the alkalinity. And substituting the initial conditions and the boundary conditions of the carbon dioxide concentration control equation and the lake alkalinity control equation into the control equation to solve, thus obtaining the prediction results of the carbon dioxide concentration and the alkalinity.
3) And substituting the prediction results of the carbon dioxide concentration and the alkalinity of the lake into a pH value control equation to obtain the prediction result of the pH value.
Claims (6)
1. A method for predicting the pH value of a lake water body is characterized by comprising 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 the predicted lake carbon dioxide concentration and the predicted lake alkalinity according to the carbon dioxide concentration control equation and the lake alkalinity control equation;
s3, obtaining the predicted pH value of the lake water body based on the lake pH value control equation according to the predicted lake carbon dioxide concentration and the predicted lake alkalinity.
2. The method for predicting the pH value of the lake water body according to claim 1, wherein 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, u is the flow velocity of water in the x direction, v is the flow velocity of water in the y direction, w is the flow velocity of water 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 is the diffusion coefficient in the z direction1For exchange of carbon dioxide by atmosphere2Is the source sink of carbon dioxide caused by algae.
3. The method for predicting the pH value of the lake water body according to claim 2, wherein the carbon dioxide source sink S caused by the atmospheric exchange1The formula of (1) is:
S1＝Kr(Cs-C) (2)
wherein, KrThe exchange rate of carbon dioxide and atmosphere in water body, CsThe saturated carbon dioxide concentration of the water body is C, and the carbon dioxide concentration of the lake water body is C.
4. The method for predicting the pH value of the lake water body according to claim 2, wherein the carbon dioxide source sink S caused by the algae2The formula of (1) is:
wherein x is a certain algae, c is blue algae, d is diatom, g is green algae, PNxIs the absorption rate of the algae on ammonium, PxIs the growth rate of the algae, FCDxIs a constant of x algae, DO is the dissolved oxygen concentration, KHRxIs the dissolved oxygen half-saturation constant, BM, of the algaexIs the rate of metabolism of the algae, AOCR is the ratio of carbon dioxide to carbon in respiration, BxIs the biomass of algae x.
5. The method for predicting the pH value of the lake water body according to claim 1, wherein the lake alkalinity control equation in the step S1 is as follows:
wherein, CaThe method is characterized in that the alkalinity of a lake water body is shown, t is time, u is the flow velocity of water in the x direction, v is the flow velocity of water in the y direction, w is the flow velocity of water 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, and Kz is the diffusion coefficient in the z direction.
6. The method for predicting the pH value of the lake water body according to claim 1, wherein the pH value control equation in the step S1 is as follows:
wherein,
is H+Concentration, K1First dissolution constant, K, for carbon equilibrium2Second dissolution constant, K, for carbon equilibriumwIs the dissolution constant of water, C is the carbon dioxide concentration of the lake water body, T is the water temperature, e is the natural constant, CaIs the alkalinity of the lake water body, and the pH value is the pH value of the lake water body.
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