CN107578162A - Industrial park water pollution control technology route line decision method - Google Patents
Industrial park water pollution control technology route line decision method Download PDFInfo
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Abstract
The present invention discloses a kind of industrial park water pollution control technology route line decision method, including establishes decision model;Enterprise, end sewage treatment plant, the possible technique for regenerating the link of water factory three are drawn by monocyclic section technology evaluation;Permutation and combination draws a plurality of feasible water pollution control technology route;According to model constraints, the technology path that end sewage disposal plant effluent is unable to stably reaching standard is eliminated;Meet that the possible technique combination of constraints is sorted with the TOPSIS methods with reference to entropy assessment, so as to realize newly-built garden water pollution control technology route optimization.The present invention realizes multi-party collaboration emission reduction effect, makes the lowest cost of preventing and remedying pollution, and pollutant abatement amount is maximum, and end sewage disposal stable water outlet is up to standard.
Description
Technical field
The invention belongs to Multi-target evaluation decision-making technique field, is related to a kind of industrial park water pollution technology path decision-making party
Method, specifically with reference to industrial park water prevention and cure of pollution demand, establish industrial park water pollution using multi-objective decision-making and prevent
Control technology path decision model, and with entropy assessment Objective Weight, TOPSIS method solving models.
Background technology
With Chinese Urbanization and industrialized development and industry restructuring, new long-established enterprise concentrates to industrial park,
Industrial park with being increasingly becoming industrial wastewater root and environmental pollution accident frequent point.Industrial park water prevention and cure of pollution are related to
Enterprise wastewater pretreatment, end sewage plant focus on, regenerate multiple links such as water factory's advanced treating, at present Environmental Technology management
Monocyclic section technology evaluation is concentrated on, due to the particularity, systematicness and complexity of industrial park water prevention and cure of pollution, how to be considered more
Link, multifactor optimization and cooperate with, establish optimal industrial park water pollution control technology appraisal procedure, structure industrial park waste water
Processing system stably reaching standard complex art route, it is one of technical problem for being badly in need of solution.
The content of the invention
It is an object of the invention to solve problem present in background technology and provide it is a kind of including too many levels, it is multifactor
Industrial park water pollution control technology route Multiobjective Decision Making Method.This method can include enterprise, end dirt to industrial park
Water treatment plant, the water pollution control technology route of regeneration water factory three link water technology optimize, and realize industry park region layer
Face cost of water treatment is minimum, and pollutant fluxes amount is maximum, and sewage disposal plant effluent stably reaching standard, and technology is provided for newly-built garden
Route sorts.
The technical scheme is that provide a kind of industrial park water pollution control technology route line decision method, this method bag
Include following steps:
Step (1):Decision model is established, comprising:A, two component targets:Three link the lowest costs and pollutant fluxes
Amount is maximum;B, constraints is:End sewage disposal plant effluent stably reaching standard;C, assumed condition is:Assuming that adopted with a line enterprise
With similar water technology;D, decision variable is to include enterprise, end sewage treatment plant, regeneration water factory three link water technology
Technical combinations;
Step (2):By monocyclic section technology evaluation draw enterprise, end sewage treatment plant, regeneration water factory three link can
Row technology;Permutation and combination draws a plurality of feasible water pollution control technology route;According to model constraints, eliminate at the sewage of end
Reason plant effluent is unable to the technology path of stably reaching standard;Meet TOPSIS of the possible technique combination with reference to entropy assessment of constraints
Method sorts, so as to realize newly-built garden water pollution control technology route optimization.
The step (2) is specific as follows:
(1) the feasible water technology of industrial park every profession and trade enterprise, end sewage disposal, are drawn by monocyclic section technology evaluation
The feasible water technology of factory, regeneration water factory feasible water technology, permutation and combination, which is formed, a plurality of includes three link water technologies
Water pollution control technology route X:
The water pollution control technology route X, include industrial park enterprise preconditioning technique x1, i(i=1,2 ... ... m, m
For industry quantity), end sewage treatment plant focus on technology x2, regeneration water factory further treatment technique x3, there are more families industrial park
Enterprise, enterprise is grouped by sector, and same industry enterprise assumes to use same class water technology:
X=[x1,1,…x1, i…x1, m,x2,x3]
(2), the totle drilling cost of every possible technique route of calculating, total reduction of pollutant, end compliance rate attribute, it is right respectively
Ying Yusan link the lowest costs target, pollutant fluxes amount maximum target and the constraint of end sewage disposal plant effluent stably reaching standard
Condition:
The three links the lowest cost target, refer to industrial park enterprise (i=1), end sewage treatment plant (i=2),
The cost of water treatment summation COST of regeneration water factory (i=3) three link is minimum, and cost is by year running cost and year benefit two parts group
Into;
Wherein, year running cost is made up of two parts:Part I is that the initial construction investment of water pollution control system is total
Expense Cc (units:Ten thousand yuan), it is by the initial outlay of each unit structures and systemic-function plus and forms;Part II is
Operation maintenance total cost Co (unit of the process system within design period:Ten thousand yuan/year), it is by each unit structures and is
The operation and maintenance cost for function of uniting plus and, according to the operational lifetime of sewage treatment facility, factor τ is reclaimed with investment, will
Construction cost is folded to the year of each year in running cost;
Wherein, year benefit Bw (units:Ten thousand yuan/year) be reclaimed water reuse reduction fresh water use cost:
Described pollutant fluxes amount maximum target, refer to industrial park enterprise, end sewage treatment plant, regeneration water factory three
Link COD (COD, k=1), ammonia nitrogen (NH3- N, k=2), total phosphorus (TP, k=3), total chromium (Cr, k=4), petroleum-type
(k=5) it is maximum, to cut down total amount S the years of six kinds of pollutants of chloride (k=6), six kinds of pollutant years reduction total amount S use standard
Change is handled, i.e. S marks reduction for total wait, equal to the mark reduction such as single pollutant k SkSum, SkEqual to single pollutant fluxes
Measure RkDivided by Pollutant emission concentration limit value c in the discharge standard of endk;RkEqual to enterprise's single pollutant fluxes amountEnd
Sewage treatment plant's single pollutant fluxes amountRegenerate water factory's single pollutant fluxes amountSum;Described enterprise's single is dirty
Contaminate thing reductionWith end sewage treatment plant single pollutant fluxes amountIt is dense that pollutant k water inlets are multiplied by equal to water process amount
The difference of degree and aqueous concentration, regeneration water factory single pollutant fluxes amountEqual to end sewage disposal plant effluent pollutant concentrationIt is multiplied by recycled water advanced treating water:
Described end sewage disposal plant effluent stably reaching standard constraints, refer to that all water outlets of end sewage treatment plant are dirty
Contaminate thing concentrationLess than or equal to limited value of discharge standard ckProbability P be more than or equal to required value μ, do not require sewage treatment plant
100% is up to standard:
(3) technology path that end compliance rate is less than minimum requirements μ, is eliminated;
(4) decision matrix A, f, are constructedI, jProperty value is represented, the decision matrix Z ' of standardization is made up of decision matrix A,
Its element is Z 'I, j:
(5), entropy assessment calculates the weight W of maximum two targets of three link the lowest costs, pollutant fluxes amountj, specifically
It is as follows:
In formula:WjFor index j entropy weight, HjFor index j entropy,
Work as pijWhen=0, pijlnpij=0;K=1/ln n;
(6), the weighted decision matrix Z of construction standardization, its element is Zij:
Zij=WjZ′ij, i=1,2 ... n, j=1,2
(7) positive ideal solution, is determinedAnd minus ideal resultPositive ideal solution possesses minimum
Totle drilling cost, highest always wait mark reduction;Minus ideal result is then opposite;
(8) relative proximities of the every technology path for ideal solution, are calculated
The distance for defining any technology path to positive ideal solution is
Any technology path is defined the distance between to minus ideal result
Then a certain technology path is defined as the relative proximities of ideal solution:
(9), by every possible technique route relative proximitiesSize give them sort,Value is bigger, and sequence is got over
It is forward, chooseIt is worth maximum technology path.
Beneficial effects of the present invention:
1st, industrial park water pollution control technology route line decision method of the present invention can be industrial park commending system, whole
The optimal water pollution control technology route of body, multi-party collaboration emission reduction effect is realized, is made at industry park water prevention and cure of pollution system water
The lowest cost is managed, pollutant fluxes amount is maximum, and end sewage disposal plant effluent stably reaching standard.
2nd, the present invention is a kind of discrete type Multiobjective Decision Making Method, has used Multi-Objective Decision Theory and environmental science to manage
By significant to industrial park water prevention and cure of pollution.
Brief description of the drawings
Fig. 1 is decision model schematic diagram of the present invention.
In figure:X represents industrial park water pollution control technology route:
I represents industrial park water process link:I=1 represents enterprise's water process link, and i=2 is represented at the sewage of garden end
Factory's water process link is managed, i=3 represents garden regeneration water factory water process link.
Embodiment
Below by accompanying drawing, the present invention is further illustrated.Embodiments of the invention are to preferably make this area
Technical staff more fully understand the present invention, not to the present invention make any limitation.
Industrial park water pollution control technology route line decision method, including:Step (1), as shown in Figure 1:Establish decision model
Type:Include two component targets:Three link the lowest costs and pollutant fluxes amount are maximum;Constraints is end sewage disposal
Plant effluent stably reaching standard;Assumed condition uses similar water technology for hypothesis with a line enterprise;Decision variable be include enterprise,
End sewage treatment plant, the technical combinations of regeneration water factory three link water technology;And step (2):Pass through monocyclic section technology
Assess and draw enterprise, end sewage treatment plant, the possible technique of regeneration water factory three link;Permutation and combination draw it is a plurality of can water-filling it is dirty
Contaminate Prevention Technique route;According to model constraints, the technology path that end sewage disposal plant effluent is unable to stably reaching standard is eliminated;
Meet that the possible technique combination of constraints is sorted with the TOPSIS methods with reference to entropy assessment, so as to realize that newly-built garden water pollution is prevented
Control technology path optimization;The TOPSIS methods with reference to entropy assessment sort to water pollution control technology route, refer to meeting
The possible technique route sequence of constraints, three link the lowest cost targets and pollutant fluxes amount maximum target correspond to respectively
The totle drilling cost of technology path and total reduction attribute, entropy assessment are a kind of Objective Weightings, in decision-making problem of multi-objective, if certain
The comentropy of individual attribute is smaller, then the information content that the attribute provides is bigger, and the property value degree of variation of attribute is bigger, is belonging to more
Contribution in property decision-making is bigger, and the weighted value of attribute also should be bigger.TOPSIS methods be by detect evaluation object and optimal solution,
The distance of most inferior solution is ranked up, higher closer to optimal solution, sequence.
Step (2) is specific as follows:
(1) the feasible water technology of industrial park every profession and trade enterprise, end sewage disposal, are drawn by monocyclic section technology evaluation
The feasible water technology of factory, regeneration water factory feasible water technology, permutation and combination, which is formed, a plurality of includes three link water technologies
Water pollution control technology route X:
The water pollution control technology route X, include industrial park enterprise preconditioning technique x1, i(i=1,2 ... ... m, m
For industry quantity), end sewage treatment plant focus on technology x2, regeneration water factory further treatment technique x3, there are more families industrial park
Enterprise, enterprise is grouped by sector, and same industry enterprise assumes to use same class water technology:
X=[x1,1,…x1, i…x1, m,x2,x3]
(2), the totle drilling cost of every possible technique route of calculating, total reduction of pollutant, end compliance rate attribute, it is right respectively
Ying Yusan link the lowest costs target, pollutant fluxes amount maximum target and the constraint of end sewage disposal plant effluent stably reaching standard
Condition:
The three links the lowest cost target, refer to industrial park enterprise (i=1), end sewage treatment plant (i=2),
The cost of water treatment summation COST of regeneration water factory (i=3) three link is minimum, and cost is by year running cost and year benefit two parts group
Into;
Wherein, year running cost is made up of two parts:Part I is that the initial construction investment of water pollution control system is total
Expense Cc (units:Ten thousand yuan), it is by the initial outlay of each unit structures and systemic-function plus and forms;Part II is
Operation maintenance total cost Co (unit of the process system within design period:Ten thousand yuan/year), it is by each unit structures and is
The operation and maintenance cost for function of uniting plus and, according to the operational lifetime of sewage treatment facility, factor τ is reclaimed with investment, will
Construction cost is folded to the year of each year in running cost;
Wherein, year benefit Bw (units:Ten thousand yuan/year) be reclaimed water reuse reduction fresh water use cost:
Described pollutant fluxes amount maximum target, refer to industrial park enterprise, end sewage treatment plant, regeneration water factory three
Link COD (COD, k=1), ammonia nitrogen (NH3- N, k=2), total phosphorus (TP, k=3), total chromium (Cr, k=4), petroleum-type
(k=5) it is maximum, to cut down total amount S the years of six kinds of pollutants of chloride (k=6), six kinds of pollutant years reduction total amount S use standard
Change is handled, i.e. S marks reduction for total wait, equal to the mark reduction such as single pollutant k SkSum, SkEqual to single pollutant fluxes
Measure RkDivided by Pollutant emission concentration limit value c in the discharge standard of endk;RkEqual to enterprise's single pollutant fluxes amountEnd
Sewage treatment plant's single pollutant fluxes amountRegenerate water factory's single pollutant fluxes amountSum;Described enterprise's single is dirty
Contaminate thing reductionWith end sewage treatment plant single pollutant fluxes amountIt is dense that pollutant k water inlets are multiplied by equal to water process amount
The difference of degree and aqueous concentration, regeneration water factory single pollutant fluxes amountEqual to end sewage disposal plant effluent pollutant concentrationIt is multiplied by recycled water advanced treating water:
Described end sewage disposal plant effluent stably reaching standard constraints, refer to that all water outlets of end sewage treatment plant are dirty
Contaminate thing concentrationLess than or equal to limited value of discharge standard ckProbability P be more than or equal to required value μ, do not require sewage treatment plant
100% is up to standard:
(3) technology path that end compliance rate is less than minimum requirements μ, is eliminated;
(4), as shown in table 1, construction decision matrix A, fI, jRepresent property value,
The decision matrix A of table 1
The decision matrix Z ' of standardization is made up of decision matrix A, its element is Z 'I, j:
(5), entropy assessment calculates the weight W of maximum two targets of three link the lowest costs, pollutant fluxes amountj, specifically
It is as follows:
In formula:WjFor index j entropy weight, HjFor index j entropy,
Work as pijWhen=0, pijlnpij=0;K=1/ln n;
(6), as shown in table 2, the weighted decision matrix Z of standardization is constructed, its element is Zij:
Zij=WjZij, i=1,2 ... n, j=1,2
The weighted decision matrix Z of table 2
(7) positive ideal solution, is determinedAnd minus ideal resultPositive ideal solution possesses minimum
Totle drilling cost, highest always wait mark reduction;Minus ideal result is then opposite;
(8) relative proximities of the every technology path for ideal solution, are calculated
The distance for defining any technology path to positive ideal solution is
Any technology path is defined the distance between to minus ideal result
Then a certain technology path is defined as the relative proximities of ideal solution:
(9), by every possible technique route relative proximitiesSize give them sort, chooseIt is worth maximum skill
Art route.The bigger technology path of value is more outstanding closer to positive ideal solution, technology path.
Embodiment:According to industry waste water feature, industrial park industry can be divided into chemical raw material and chemical product manufacturing,
Rubber and plastic product industry, food, beverage processing manufacturing industry, textile industry, papermaking and paper products industry, pharmaceutical industry, metal system
8 industries such as product and machining industry and computer, communication and other electronic equipment manufacturing industry.
Due to the complexity of enterprise's industrial wastewater, the difference of different enterprise's pre-treating process for sewage is very big.According to pollutant
Principle is removed, sewage treatment unit can simply be divided into physical chemistry unit and biochemistry unit.Physical chemistry unit includes
Electrolysis, air supporting, oil removal, evaporation, absorption, coagulating sedimentation, catalysis oxidation, membrane filtration etc.;Biochemistry unit includes aerobic aeration, detested
Oxygen hydrolysis, catalytic oxidation, anaerobic-aerobic, anaerobic/anoxic are aerobic, sequencing batch active sludge etc..Enterprise's water technology can be divided into
Materialization+biochemistry, biochemistry, biochemistry+materialization, materialization+biochemistry+materialization, the class of materialization 5.
Industrial park end sewage treatment plant water technology mainly have aerobic anaerobic/anoxic, anaerobic-aerobic, oxidation ditch and
Its reforming technology, sequencing batch active sludge and its reforming technology, the class of traditional activated sludge process 5.
Regenerating water factory's further treatment technique mainly includes membrane bioreactor, membrane filter technique, advanced oxidation, coagulating sedimentation filtering
4 classes.
In view of contamination characteristics and technical characteristic etc., above trade classification and technique classification are optimal classification.Below with certain
Exemplified by chemical industrial park, implementation steps are illustrated, data do not have practical significance.
Assuming that certain chemical industrial park only has chemical raw material and chemical product manufacturing, the optional water technology of enterprise be materialization+
The biochemical, materialization+class of biochemistry+materialization two, the optional water technology of end sewage treatment plant are that anaerobic/anoxic is aerobic and oxidation ditch work
Skill, regeneration water factory optional further treatment technique are membrane bioreactor, membrane filter technique, three links can selecting technology the attribute such as institute of table 3
Show.
The water technology attribute of table 3
Each link can selecting technology permutation and combination can form 8 possible technique routes.It is as follows:
Technology path 1:Materialization+biochemistry, anaerobic/anoxic are aerobic, membrane bioreactor.
Technology path 2:Materialization+biochemistry, anaerobic/anoxic are aerobic, membrane filter technique.
Technology path 3:Materialization+biochemistry, oxidation ditch, membrane bioreactor.
Technology path 4:Materialization+biochemistry, oxidation ditch, membrane filter technique.
Technology path 5:Materialization+biochemistry+materialization, anaerobic/anoxic are aerobic, membrane bioreactor.
Technology path 6:Materialization+biochemistry+materialization, anaerobic/anoxic are aerobic, membrane filter technique.
Technology path 7:Materialization+biochemistry+materialization, oxidation ditch, membrane bioreactor.
Technology path 8:Materialization+biochemistry+materialization, oxidation ditch, membrane filter technique.
Technology path expense and pollutant fluxes amount attribute are as shown in table 4 for monocyclic section.
The technology path attribute of table 4
Industrial park end sewage treatment plant compliance rate minimum requirements μ=0.8, then technology path 3 and technology path 4 are washed in a pan
Eliminate.Remaining 6 technology path is sorted using entropy assessment and TOPSIS methods.Step is as follows:
(1) it is 8%, to assume discount rate, and sewage treatment facility service life is 20 years, investment recovery factor τ=0.102.
Technology path construction cost Cc is folded in year running cost Co, reclaimed water reuse benefit 1423.5 (ten thousand yuan/year) is subtracted, obtains
To totle drilling cost COST.COD, NH in industrial park end sewage treatment plant discharge standard3- N, TP, Cr, petroleum-type, chloride
Concentration limit is respectively 50,5,0.5,0.1,1,500mg/L, 6 kinds of pollutant fluxes amounts are obtained into pollutant as standardization
Cut down total amount S.According to the mark reduction attribute construction decision matrix A such as technology path totle drilling cost, total, its element is fI, j, such as table 5
It is shown.
The decision matrix A of table 5
(2) the decision matrix Z ' of standardization, is made up of decision matrix, its element is Z 'I, j, as shown in table 6:
The decision matrix Z ' that table 6 standardizes
(3), entropy assessment calculates the weight W of maximum two targets of three link the lowest costs, pollutant fluxes amountj, specifically
It is as follows:
In formula:WjFor index j entropy weight, HjFor index j entropy,
Work as pijWhen=0, pijlnpij=0;K=1/ln n;
The weight W of three link the lowest cost targets1=0.736, the weight W of pollutant fluxes amount maximum target2=
0.264。
(4), as shown in table 7, the weighted decision matrix Z of standardization is constructed, its element is Zij:
Zij=WjZ′ij, i=1,2 ... n, j=1,2
The weighted decision matrix Z of table 7
(5) positive ideal solution, is determinedAnd minus ideal resultPositive ideal solution possesses minimum
Totle drilling cost, highest always wait mark reduction;Minus ideal result is then opposite.
(6) relative proximities of the every technology path for ideal solution, are calculated, as shown in table 8:
The distance for defining any technology path to positive ideal solution is
Similarly, any technology path is defined the distance between to minus ideal result
Then relative proximities of a certain technology path for ideal solutionIt is defined as:
The technology path relative proximities of table 8
(7), by every possible technique route relative proximitiesSize give them sort, technology path 1 is optimal skill
Art route, technology path 6 are worst technology path.
It should be appreciated that embodiment and example discussed herein simply to illustrate that, to those skilled in the art
For, it can be improved or be converted, and all these modifications and variations should all belong to the protection of appended claims of the present invention
Scope.
Claims (2)
1. industrial park water pollution control technology route line decision method, it is characterised in that comprise the following steps:
Step (1):Decision model is established, comprising:A, two component targets:Three link the lowest costs and pollutant fluxes amount are most
Greatly;B, constraints is:End sewage disposal plant effluent stably reaching standard;C, assumed condition is:Assuming that with a line enterprise using same
Class water technology;D, decision variable is to include enterprise, end sewage treatment plant, the skill of regeneration water factory three link water technology
Art combines;
Step (2):Enterprise, end sewage treatment plant, the feasible skill for regenerating the link of water factory three are drawn by monocyclic section technology evaluation
Art;Permutation and combination draws a plurality of feasible water pollution control technology route;According to model constraints, end sewage treatment plant is eliminated
Water outlet is unable to the technology path of stably reaching standard;Meet that the possible technique combination of constraints is arranged with the TOPSIS methods with reference to entropy assessment
Sequence, so as to realize newly-built garden water pollution control technology route optimization.
2. according to the method for claim 1, it is characterised in that the step (2) is specific as follows:
(1), show that the feasible water technology of industrial park every profession and trade enterprise, end sewage treatment plant can by monocyclic section technology evaluation
Water-filling treatment technology, the feasible water technology of regeneration water factory, permutation and combination form a plurality of water for including three link water technologies
Pollution prevention technique route X:
The water pollution control technology route X, include industrial park enterprise preconditioning technique x1, i(i=1,2 ... ... m, m are row
Industry quantity), end sewage treatment plant focus on technology x2, regeneration water factory further treatment technique x3, there are more enterprises industrial park
Industry, enterprise is grouped by sector, and same industry enterprise assumes to use same class water technology:
X=[x1,1,…x1, i…x1, m,x2,x3]
(2), the totle drilling cost of every possible technique route of calculating, total reduction of pollutant, end compliance rate attribute, are corresponded respectively to
Three link the lowest cost targets, pollutant fluxes amount maximum target and end sewage disposal plant effluent stably reaching standard constraint bar
Part:
The three links the lowest cost target, refer to industrial park enterprise (i=1), end sewage treatment plant (i=2), regeneration
The cost of water treatment summation COST of the link of water factory (i=3) three is minimum, and cost is made up of year running cost and year benefit two parts;
Wherein, year running cost is made up of two parts:Part I is the initial construction investment total cost of water pollution control system
Cc (units:Ten thousand yuan), it is by the initial outlay of each unit structures and systemic-function plus and forms;Part II is technique
Operation maintenance total cost Co (unit of the system within design period:Ten thousand yuan/year), it is by each unit structures and system work(
Can it is operation and maintenance cost plus and, according to the operational lifetime of sewage treatment facility, reclaim factor τ with investment, will build
Expense is folded to the year of each year in running cost;
Wherein, year benefit Bw (units:Ten thousand yuan/year) be reclaimed water reuse reduction fresh water use cost:
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Described pollutant fluxes amount maximum target, refer to industrial park enterprise, end sewage treatment plant, regeneration water factory three link
COD (COD, k=1), ammonia nitrogen (NH3- N, k=2), total phosphorus (TP, k=3), total chromium (Cr, k=4), petroleum-type (k=
5) it is maximum, to cut down total amount S the years of six kinds of pollutants of chloride (k=6), six kinds of pollutant years reduction total amount S are using at standardization
Reason, i.e. S mark reduction for total wait, equal to the mark reduction such as single pollutant k SkSum, SkEqual to single pollutant fluxes amount Rk
Divided by Pollutant emission concentration limit value c in the discharge standard of endk;RkEqual to enterprise's single pollutant fluxes amountEnd sewage
Treatment plant's single pollutant fluxes amountRegenerate water factory's single pollutant fluxes amountSum;Described enterprise's single pollutant
ReductionWith end sewage treatment plant single pollutant fluxes amountEqual to water process amount be multiplied by pollutant k influent concentrations with
The difference of aqueous concentration, regeneration water factory single pollutant fluxes amountEqual to end sewage disposal plant effluent pollutant concentrationMultiply
With recycled water advanced treating water:
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(4) decision matrix A, f, are constructedI, jProperty value is represented, the decision matrix Z ' of standardization, its element are made up of decision matrix A
For Z 'I, j:
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</mrow>
(5), entropy assessment calculates the weight W of maximum two targets of three link the lowest costs, pollutant fluxes amountj, it is specific as follows:
<mrow>
<msub>
<mi>W</mi>
<mi>j</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>H</mi>
<mi>j</mi>
</msub>
</mrow>
<mrow>
<mn>2</mn>
<mo>-</mo>
<msubsup>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<msub>
<mi>H</mi>
<mi>j</mi>
</msub>
</mrow>
</mfrac>
</mrow>
<mrow>
<msub>
<mi>H</mi>
<mi>j</mi>
</msub>
<mo>=</mo>
<mo>-</mo>
<mi>k</mi>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>p</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mi>ln</mi>
<mi> </mi>
<msub>
<mi>p</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
In formula:WjFor index j entropy weight, HjFor index j entropy,
Work as pijWhen=0, pij ln pij=0;K=1/ln n;
(6), the weighted decision matrix Z of construction standardization, its element is Zij:
Zij=WjZij, i=1,2 ... n, j=1,2
(7) positive ideal solution, is determinedAnd minus ideal resultPositive ideal solution possesses minimum total
Cost, highest always wait mark reduction;Minus ideal result is then opposite;
<mrow>
<msubsup>
<mi>Z</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mo>+</mo>
</msubsup>
<mo>=</mo>
<mi>min</mi>
<mi> </mi>
<msub>
<mi>Z</mi>
<mrow>
<mi>i</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mrow>
<msubsup>
<mi>Z</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>2</mn>
</mrow>
<mo>+</mo>
</msubsup>
<mo>=</mo>
<mi>max</mi>
<mi> </mi>
<msub>
<mi>Z</mi>
<mrow>
<mi>i</mi>
<mn>2</mn>
</mrow>
</msub>
</mrow>
<mrow>
<msubsup>
<mi>Z</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mo>-</mo>
</msubsup>
<mo>=</mo>
<mi>max</mi>
<mi> </mi>
<msub>
<mi>Z</mi>
<mrow>
<mi>i</mi>
<mn>1</mn>
</mrow>
</msub>
</mrow>
<mrow>
<msubsup>
<mi>Z</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>2</mn>
</mrow>
<mo>-</mo>
</msubsup>
<mo>=</mo>
<mi>min</mi>
<mi> </mi>
<msub>
<mi>Z</mi>
<mrow>
<mi>i</mi>
<mn>2</mn>
</mrow>
</msub>
</mrow>
(8) relative proximities of the every technology path for ideal solution, are calculated
The distance for defining any technology path to positive ideal solution is
<mrow>
<msubsup>
<mi>S</mi>
<mi>i</mi>
<mo>+</mo>
</msubsup>
<mo>=</mo>
<msqrt>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mn>2</mn>
</munderover>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>-</mo>
<msubsup>
<mi>Z</mi>
<mi>j</mi>
<mo>+</mo>
</msubsup>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mi>n</mi>
</mrow>
Any technology path is defined the distance between to minus ideal result
<mrow>
<msubsup>
<mi>S</mi>
<mi>i</mi>
<mo>-</mo>
</msubsup>
<mo>=</mo>
<msqrt>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mn>2</mn>
</munderover>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>Z</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>-</mo>
<msubsup>
<mi>Z</mi>
<mi>j</mi>
<mo>-</mo>
</msubsup>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mi>n</mi>
</mrow>
Then a certain technology path is defined as the relative proximities of ideal solution:
<mrow>
<msubsup>
<mi>C</mi>
<mi>i</mi>
<mo>+</mo>
</msubsup>
<mo>=</mo>
<mfrac>
<msubsup>
<mi>S</mi>
<mi>i</mi>
<mo>-</mo>
</msubsup>
<mrow>
<msubsup>
<mi>S</mi>
<mi>i</mi>
<mo>-</mo>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>S</mi>
<mi>i</mi>
<mo>+</mo>
</msubsup>
</mrow>
</mfrac>
</mrow>
<mrow>
<mn>0</mn>
<mo>&le;</mo>
<msubsup>
<mi>C</mi>
<mi>i</mi>
<mo>+</mo>
</msubsup>
<mo>&le;</mo>
<mn>1</mn>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mi>n</mi>
<mo>;</mo>
</mrow>
(9), by every possible technique route relative proximitiesSize give them sort,Value is bigger, and sequence is more forward,
ChooseIt is worth maximum technology path.
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Cited By (2)
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CN114117748A (en) * | 2021-11-05 | 2022-03-01 | 中海油天津化工研究设计院有限公司 | Method for simulating ocean oil field production water treatment efficiency and deciding optimal technical route based on Monte Carlo method |
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