CN110427733A - Algae concentration acquisition methods based on phosphorus circulation - Google Patents
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Abstract
The invention discloses a kind of algae concentration acquisition methods based on phosphorus circulation.The present invention can effectively simulate growth and the death process of algae, it can be seen that method of the present invention has the ability of simulation algae change, and with phosphorus and critical nutrients salt variable, effectively reduces the quantity of unknown biochemical parameter.The present invention can effectively simulate the change procedure of Measures of Algae in Water Body, not only greatly reduce model parameter on the contrary due to selecting phosphorus for key limitation nutritive salt without reducing simulation precision, increase computational efficiency.
Description
Technical field
The present invention relates to phytoplankton simulation technical fields, and in particular to a kind of algae concentration acquisition methods based on phosphorus circulation.
Background technique
At present due to the excessive emissions of nutritive salt, lake, Reservoir Eutrophication degree is caused to increase, wawter bloom takes place frequently.Numerical value
Simulation is one of the effective ways of wawter bloom change in time and space in analyzing water body.And current algae computation model is numerous, can satisfy
The requirement of wawter bloom simulation, but the generally existing following disadvantage of these models:
A. the nutritive salt simulated is numerous, can not embody the core limitation of critical nutrients salt；
B. simulation Biochemical processes are excessive, cause to generate numerous Ecological Parameters that can not be directly acquired, seriously affect mould
Quasi- result precision；
C. operation efficiency is relatively low.
Summary of the invention
For above-mentioned deficiency in the prior art, a kind of algae concentration acquisition methods based on phosphorus circulation provided by the invention
Solve the problems, such as that algae concentration of analog calculates inaccuracy.
In order to achieve the above object of the invention, a kind of the technical solution adopted by the present invention are as follows: algae concentration based on phosphorus circulation
Acquisition methods, comprising the following steps:
S1, the kinetic model for establishing bioclast；
S2, the kinetic model that nutritive salt is established according to the kinetic model of bioclast；
S3, the kinetic model that algae is established according to the kinetic model of bioclast and the kinetic model of nutritive salt；
S4, algae concentration is calculated according to the kinetic model of algae.
Further: the kinetic model of bioclast in the step S1 are as follows:
In above formula, DET is clast biomass, and t is the time,For clast concentration rate of change,For
The clast rate of change due to caused by algae death,For the rate of clast mineralising hydrolysis, snk (DET) sinks for clast
The rate of drop；
Wherein, the rate of clast mineralising hydrolysisCalculation formula are as follows:
In above formula, rDETFor clast basis hydrolysis rate.
Further: the kinetic model of nutritive salt in the step S2 are as follows:
In above formula, PO4For nutritive salt biomass, t is the time,For nutrient concentration rate of change,
For nutritive salt rate of change caused by algal grown,Nutritive salt rate of change caused by being hydrolyzed for clast；
Wherein, nutritive salt rate of change caused by algal grownCalculation formula are as follows:
In above formula,For the rate of algal grown；
Nutritive salt rate of change caused by clast hydrolyzesCalculation formula are as follows:
In above formula,For the rate of clast mineralising hydrolysis.
Further: the kinetic model of algae in the step S3 are as follows:
In above formula, P is algae bio amount, and t is the time,For the kinetic model of algae,For algal grown
Rate,For the rate of algae death.
Further: the rate of the algal grownCalculation formula are as follows:
In above formula, rPFor algae basal growth rates, P is algae bio amount.
Further: the algae basal growth rates rPCalculation formula are as follows:
In above formula, r0For algae maximum growth rate,For temperature limiting function,For light restricted function,For nutrition
Salt restricted function；
Wherein, temperature limiting functionCalculation formula are as follows:
In above formula, T is water temperature, T1For the lowest temperature for being suitable for algal grown, T2For the temperature upper limit for being suitable for algal grown；
Light restricted functionCalculation formula are as follows:
In above formula, IZFor the solar radiation that underwater depth is at Z, IoptFor algae optimal growth intensity of illumination, wherein
Underwater depth is the solar radiation I at ZZCalculation formula are as follows:
IZ=I0e-(KW+KC·P)D
In above formula, I0For water surface solar radiation, KW is the extinction coefficient of all substances in addition to algae, and KC is algae delustring
Coefficient factor, D are the depth of water；
Nutritive salt restricted functionCalculation formula are as follows:
In above formula, KPFor phosphate semi-saturation concentration, PO4For nutrient concentration.
Further: the rate of the algae deathCalculation formula are as follows:
In above formula, μ1For algae single order rate of death, μ2For algae second order rate of death.
Further: the calculation formula of algae concentration in the step S4 are as follows:
In above formula, Pn+1For subsequent time algae concentration, PnFor current time algae concentration, Δ t is material calculation.
The invention has the benefit that method of the present invention is effectively reduced not with phosphorus and critical nutrients salt variable
Know the quantity of biochemical parameter, can accurately calculate algae concentration.
The present invention can effectively simulate the change procedure of Measures of Algae in Water Body, not only without reduce simulation precision, on the contrary due to
It selects phosphorus for key limitation nutritive salt, greatly reduces model parameter, increase computational efficiency, can effectively simulate algae
Growth and death process.
Detailed description of the invention
Fig. 1 is flow chart of the present invention；
Fig. 2 is nutritive salt-algae-bioclast interaction process figure in the embodiment of the present invention；
Fig. 3 is the schematic diagram that algae changes over time in the embodiment of the present invention.
Specific embodiment
A specific embodiment of the invention is described below, in order to facilitate understanding by those skilled in the art this hair
It is bright, it should be apparent that the present invention is not limited to the ranges of specific embodiment, for those skilled in the art,
As long as various change is in the spirit and scope of the present invention that the attached claims limit and determine, these variations are aobvious and easy
See, all are using the innovation and creation of present inventive concept in the column of protection.
Nutritive salt-algae-bioclast ternary circulation pattern, as shown in Fig. 2, external source import is to nutritive salt (phosphate
PO4), algae (phytoplankton P) absorbs nourishment salt (phosphate PO4), become bioclast after algae (phytoplankton P) is dead, it is raw
Object clast DET generates nutritive salt (phosphate PO after decomposing4)。
As shown in Figure 1, a kind of algae concentration acquisition methods based on phosphorus circulation, comprising the following steps:
S1, the kinetic model for establishing bioclast；
Clast is primarily referred to as the organism of phytoplankton residuum, the influence of the death of dynamics algal suspension and sedimentation, therefore gives birth to
The kinetic model of object clast are as follows:
In above formula, DET is clast biomass, and t is the time,For clast biomass variety rate,
For due to algae it is dead caused by clast rate of change,For the rate of clast mineralising hydrolysis, snk (DET) is clast
The rate of sedimentation；
Wherein, the rate of clast mineralising hydrolysisCalculation formula are as follows:
In above formula, rDETFor clast basis hydrolysis rate.
S2, the kinetic model that nutritive salt is established according to the kinetic model of bioclast；
Phosphorus plays important role in algal grown.The circulation of phosphorus is mainly absorbed with phytoplankton, clast is hydrolyzed to
It is main, therefore the kinetic model of nutritive salt are as follows:
In above formula, PO4For nutritive salt biomass, t is the time,For nutrient concentration rate of change,
For nutritive salt rate of change caused by algal grown,Nutritive salt rate of change caused by being hydrolyzed for clast；
Algae absorbs phosphorus for growing by photosynthesis, therefore nutritive salt rate of change caused by algal grown
Calculation formula are as follows:
In above formula,For the rate of algal grown；
Algae clast is changed into phosphate by hydrolysis and mineralization process, therefore nutritive salt rate of change caused by clast hydrolyzesCalculation formula are as follows:
In above formula,For the rate of clast mineralising hydrolysis.
S3, the kinetic model that algae is established according to the kinetic model of bioclast and the kinetic model of nutritive salt；
The particular kind of algae of water quality model few analog.Algae can be assembled to a monoid or several monoids.Algae
Kinetic model by grow, it is dead influenced, the kinetic model of algae are as follows:
In above formula, P is algae bio amount, and t is the time,For the kinetic model of algae,For algal grown
Rate,For the rate of algae death.
The growth of algae is influenced by water temperature, nutritive salt, illumination and basal growth rates, therefore the rate of algal grownCalculation formula are as follows:
In above formula, rPFor algae basal growth rates, P is algae bio amount.
Algae basal growth rates rPCalculation formula are as follows:
In above formula, r0For algae maximum growth rate,For temperature limiting function,For light restricted function,For battalion
Support salt restricted function；
Algal grown is affected by temperature, and in some suitable temperature range, algal grown is most fast.Higher or lower than this
A temperature can all influence the speed of growth of algae.Temperature limiting functionCalculation formula are as follows:
In above formula, T is water temperature, T1For the lowest temperature for being suitable for algal grown, T2For the temperature upper limit for being suitable for algal grown；
The growth of algae is also influenced by light (solar radiation).Light restricted functionCalculation formula are as follows:
In above formula, IZFor the solar radiation that underwater depth is at Z, IoptFor algae optimal growth intensity of illumination, wherein
Underwater depth is the solar radiation I at ZZCalculation formula are as follows:
IZ=I0e-(KW+KC·P)D
In above formula, I0For water surface solar radiation, KW is the extinction coefficient of all substances in addition to algae, and KC is algae delustring
Coefficient factor, D are the depth of water；
The Limiting nutrient salt that algal grown is subject to is mainly nitrogen, phosphorus and silicon.The mass ratio of domestic Water phosphorus is general
Both greater than 15, water body is limited for typical phosphorus.Therefore phosphorus is the critical nutrients salt for limiting algal grown in water body, so choosing
Michaelis-Menton model describes the relationship between algal grown and phosphorus concentration, nutritive salt restricted functionCalculating
Formula are as follows:
In above formula, KPFor phosphate semi-saturation concentration, PO4For nutrient concentration.
The death of algae is a non-linear process, therefore the rate of algae deathCalculation formula are as follows:
In above formula, μ1For algae single order rate of death, μ2For algae second order rate of death.
S4, algae concentration is calculated according to the kinetic model of algae.
The calculation formula of algae concentration are as follows:
In above formula, Pn+1For subsequent time algae concentration, PnFor current time algae concentration, Δ t is material calculation.
The value of parameters is as shown in table 1 in the present invention.
1 Ecological Parameter of table and suggestion value
As can be seen that method of the present invention is with phosphorus and critical nutrients salt variable from Fig. 3 data, effectively reduce not
Know the quantity of biochemical parameter, can accurately calculate algae concentration.
The present invention can effectively simulate the change procedure of Measures of Algae in Water Body, not only without reduce simulation precision, on the contrary due to
It selects phosphorus for key limitation nutritive salt, greatly reduces model parameter, increase computational efficiency, can effectively simulate algae
Growth and death process.
Claims (8)
1. a kind of algae concentration acquisition methods based on phosphorus circulation, which comprises the following steps:
S1, the kinetic model for establishing bioclast；
S2, the kinetic model that nutritive salt is established according to the kinetic model of bioclast；
S3, the kinetic model that algae is established according to the kinetic model of bioclast and the kinetic model of nutritive salt；
S4, algae concentration is calculated according to the kinetic model of algae.
2. the algae concentration acquisition methods according to claim 1 based on phosphorus circulation, which is characterized in that in the step S1
The kinetic model of bioclast are as follows:
In above formula, DET is clast biomass, and t is the time,For clast biomass variety rate,It serves as reasons
The clast rate of change caused by algae is dead,For the rate of clast mineralising hydrolysis, snk (DET) is clast sedimentation
Rate；
Wherein, the rate of clast mineralising hydrolysisCalculation formula are as follows:
In above formula, rDETFor clast basis hydrolysis rate.
3. the algae concentration acquisition methods according to claim 2 based on phosphorus circulation, which is characterized in that in the step S2
The kinetic model of nutritive salt are as follows:
In above formula, PO4For nutritive salt biomass, t is the time,For nutrient concentration rate of change,For algae
Nutritive salt rate of change caused by class is grown,Nutritive salt rate of change caused by being hydrolyzed for clast；
Wherein, nutritive salt rate of change caused by algal grownCalculation formula are as follows:
In above formula,For the rate of algal grown；
Nutritive salt rate of change caused by clast hydrolyzesCalculation formula are as follows:
In above formula,For the rate of clast mineralising hydrolysis.
4. the algae concentration acquisition methods according to claim 3 based on phosphorus circulation, which is characterized in that in the step S3
The kinetic model of algae are as follows:
In above formula, P is algae bio amount, and t is the time,For the kinetic model of algae,For the speed of algal grown
Rate,For the rate of algae death.
5. the algae concentration acquisition methods according to claim 4 based on phosphorus circulation, which is characterized in that the algal grown
RateCalculation formula are as follows:
In above formula, rPFor algae basal growth rates, P is algae bio amount.
6. the algae concentration acquisition methods according to claim 5 based on phosphorus circulation, which is characterized in that the algae basis
Growth rate rPCalculation formula are as follows:
In above formula, r0For algae maximum growth rate,For temperature limiting function,For light restricted function,For nutritive salt limit
Function processed；
Wherein, temperature limiting functionCalculation formula are as follows:
In above formula, T is water temperature, T1For the lowest temperature for being suitable for algal grown, T2For the temperature upper limit for being suitable for algal grown；
Light restricted functionCalculation formula are as follows:
In above formula, IZFor the solar radiation that underwater depth is at Z, IoptFor algae optimal growth intensity of illumination, wherein underwater
Depth is the solar radiation I at ZZCalculation formula are as follows:
IZ=I0e-(KW+KC·P)D
In above formula, I0For water surface solar radiation, KW is the extinction coefficient of all substances in addition to algae, and KC is algae extinction coefficient
The factor, D are the depth of water；
Nutritive salt restricted functionCalculation formula are as follows:
In above formula, KPFor phosphate semi-saturation concentration, PO4For nutrient concentration.
7. the algae concentration acquisition methods according to claim 6 based on phosphorus circulation, which is characterized in that the algae is dead
RateCalculation formula are as follows:
In above formula, μ1For algae single order rate of death, μ2For algae second order rate of death.
8. the algae concentration acquisition methods according to claim 7 based on phosphorus circulation, which is characterized in that in the step S4
The calculation formula of algae concentration are as follows:
In above formula, Pn+1For subsequent time algae concentration, PnFor current time algae concentration, Δ t is material calculation.
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Cited By (2)
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| CN115114867A (en) * | 2022-07-11 | 2022-09-27 | 中国水利水电科学研究院 | Method for predicting biomass of emergent aquatic plant |
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