CN101025614A - Study method of inverse problem on hydraulics for water resources and hydroelectric engineering - Google Patents
Study method of inverse problem on hydraulics for water resources and hydroelectric engineering Download PDFInfo
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- CN101025614A CN101025614A CN 200710051566 CN200710051566A CN101025614A CN 101025614 A CN101025614 A CN 101025614A CN 200710051566 CN200710051566 CN 200710051566 CN 200710051566 A CN200710051566 A CN 200710051566A CN 101025614 A CN101025614 A CN 101025614A
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Abstract
The invention discloses a researching method for hydraulic reverse problem. It supplies impulse spectrum method, discrete optimizing method, disturbance method, and control method. It induces modern control method to solve hydraulic reverse problem.
Description
Technical field
The present invention relates to a kind of Hydraulic and Hydro-Power Engineering hydraulics study of inverse problem method.
Background technology
The Hydraulic and Hydro-Power Engineering field has proposed dissimilar indirect problems.Yet in general, the theoretical on going result of indirect problem lays particular emphasis on the correctness that solves differential equation indirect problem formulation, separates the computational stability problem of well-posed problem by no means, and these achievements and application of practical project also have suitable distance.Therefore the engineering practicability that improves the indirect problem theory becomes each field of engineering technology problem anxious to be solved, also is the research topic with very big theory significance and technical difficulty simultaneously.
Summary of the invention
The objective of the invention is to provide a kind of Hydraulic and Hydro-Power Engineering hydraulics study of inverse problem method.
The object of the present invention is achieved like this: a kind of Hydraulic and Hydro-Power Engineering hydraulics study of inverse problem method, " pulse spectrometry, discrete optimization method, perturbation method, kybernetics method " proposed, and made up the framework of Hydraulic and Hydro-Power Engineering hydraulics indirect problem.By being that analytical method, pulse spectrometry, discrete-optimization, perturbation method, Comtemporary Control Theory method are studied Hydraulic and Hydro-Power Engineering hydraulics indirect problem.
Hydraulic and Hydro-Power Engineering hydraulics study of inverse problem method provided by the present invention has proposed " pulse spectrometry, discrete optimization method, perturbation method, kybernetics method " etc., and has provided detailed solution procedure and the application example of each class methods.Made up the framework of Hydraulic and Hydro-Power Engineering hydraulics indirect problem, the Comtemporary Control Theory method has been introduced in the finding the solution of engineering hydraulics indirect problem.
Embodiment
The engineering practicability of indirect problem theory becomes each field of engineering technology problem anxious to be solved, also is the research topic with very big theory significance and technical difficulty simultaneously, and this project has been carried out study of inverse problem in conjunction with actual engineering.
(1) notion of Hydraulic and Hydro-Power Engineering hydraulics indirect problem: in Hydraulic and Hydro-Power Engineering hydraulics research field, traditional indirect problem just is meant parametric inversion.This research is thought, the notion of indirect problem must be widened, to comprise the dissimilar indirect problem in each field: if certain of direct problem must the known element of determining cause be really become unknown variable to be found the solution, and the part of finding the solution target, unknown function of direct problem (for example in the subregion or borderline distribution) as condition known, that must satisfy, just can be constituted certain class indirect problem.Therefore, the part of direct problem is found the solution target and has been become known conditions, certain that must be known in the direct problem determines that factor becomes the target of finding the solution, and deterministic system is predicted certain factor that has become regulating system to realize the control to system, has so just constituted indirect problem.Condition and target all with the direct problem contrary, this is the origin of " indirect problem " title also just.
(2) classification of Hydraulic and Hydro-Power Engineering hydraulics indirect problem: in different field indirect problems different mode classifications is arranged, the most comprehensive when number Simonian engineering term be the classification that indirect problem is done: comprehensive, control, discern and the four big classes such as parameter recognition that are connected output, system.This research thinks that finding the solution of direct problem must find the solution under the preceding topic condition of known region shape, boundary condition, starting condition, physical parameter and source sink term, therefore corresponding indirect problem can be carried out following classification: five big classes such as shape control indirect problem, source item control indirect problem, Inverse Problem of Boundary Condition Control, starting condition control indirect problem and parameter control indirect problem.The dissimilar indirect problem in each field all can be unified to include in this sorting technique.
(3) finding the solution of Hydraulic and Hydro-Power Engineering hydraulics indirect problem: the finding the solution of Hydraulic and Hydro-Power Engineering hydraulics indirect problem, usually all be by means of appropriate mathematical computing and conversion, indirect problem transformed into the pattern that to find the solution---forms such as Optimization Model, integral equation, progression.Four kinds of method for solving have been introduced in this research, i.e. analytical method, pulse spectrometry, discrete-optimization, perturbation method, Comtemporary Control Theory method.
1. pulse spectrometry (Pulse Spectrum Technique): 1974, Tsien and Y.M.Chen at first propose PST when finding the solution a fluid dynamics indirect problem, further promoted, improved after this method, this research is used to PST to study the inverting of underground water heterogeneous body coefficient of transmissibility, proved that the PST method is a kind of efficient ways of finding the solution indirect problem, its advantage is: 1. handle the restriction that indirect problem is not subjected to dimension; 2. no matter be not subjected to the restriction of equation type, be the indirect problem of hyperbolic equation, parabolic equation or elliptic equation, can use PST and find the solution; 3. be not subjected to the restriction of indirect problem type, no matter how much control indirect problems of parameter control indirect problem, source item control indirect problem, zone boundary or Inverse Problem of Boundary Condition Control, PST method or improved PST (Reformed PST) method of can using is found the solution.
2. disperse-optimization: from the viewpoint of optimizing, indirect problem is analogous to the optimization problem of controlled system in essence, that is: the target of control can be regarded the objective function of optimization problem as, the means of control (shape in parameter, source item, boundary condition, starting condition, zone) can be considered the variable of optimization problem, and the governing equation of system and known boundary condition can be regarded the constraint condition of optimization problem as.Therefore, indirect problem can be converted into the system optimization problem in principle, solves with optimization method.For unlimited a plurality of variablees in the continuous space are reduced to limited a plurality of variable, spatial spreading is the most effective instrument.Control device after discrete is converted into limited a plurality of variable, and governing equation after dispersing and boundary condition are converted into limited constraint, makes that finding the solution indirect problem with optimization method becomes possibility.So the process of numerical solution engineering hydraulics indirect problem should include two subprocess at least---discrete and optimization.Adopt this method, gravity dam ground infiltration coefficient is carried out Inversion Calculation, infer the effect of consolidation by grouting ground, result of calculation has obtained the checking of actual measurement drill hole sampling analysis result.
3. Comtemporary Control Theory method: the essence of indirect problem is the control that realizes system; Kybernetics is research object with the system then, is the science of control of research system and application thereof.Therefore, from system being realized the angle of control, indirect problem is theoretical to be consistent with kybernetics.Include the fluid mechanics indirect problem in cybernatic category, then the fluid mechanics indirect problem can be summed up as optimal control problem.From cybernatic angle, the fluid mechanics indirect problem is divided into distributed parameter system indirect problem, lumped-parameter system indirect problem and empirical parameter system indirect problem three major types.This research is inquired into finding the solution of distributed parameter system indirect problem.Indirect problem is classified as follows:
(4) adopt said method that the Hydraulic and Hydro-Power Engineering hydraulics indirect problem of three quasi-representatives is found the solution, that is: determine two-dimentional confined aquifer heterogeneous body coefficient of transmissibility with the pulse spectrometry; Control with distributed parameter system kybernetics method method for solving realization polluted water region makes its unlikely diffusion; Burst spectrum-optimization carries out the distribution layout and the blowdown volume control of upstream, river course pollution source.Three examples derive from different fields, adhere to dissimilar hydraulics indirect problems separately, it is effectively found the solution, and has proved the feasible and practicality of said method, also shows that the method for solving of Hydraulic and Hydro-Power Engineering hydraulics indirect problem will be in the bigger effect of other research field performances simultaneously.
Claims (2)
1. a Hydraulic and Hydro-Power Engineering hydraulics study of inverse problem method is characterized in that: proposed " pulse spectrometry, discrete optimization method, perturbation method, kybernetics method ", has made up the framework of Hydraulic and Hydro-Power Engineering hydraulics indirect problem.
2. Hydraulic and Hydro-Power Engineering hydraulics study of inverse problem method as claimed in claim 1 is characterized in that: by being that analytical method, pulse spectrometry, discrete-optimization, perturbation method, Comtemporary Control Theory method are studied Hydraulic and Hydro-Power Engineering hydraulics indirect problem.
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| CN 200710051566 CN101025614A (en) | 2007-02-12 | 2007-02-12 | Study method of inverse problem on hydraulics for water resources and hydroelectric engineering |
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| CN 200710051566 CN101025614A (en) | 2007-02-12 | 2007-02-12 | Study method of inverse problem on hydraulics for water resources and hydroelectric engineering |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115330132A (en) * | 2022-07-20 | 2022-11-11 | 中交上海航道局有限公司 | Method for water quality distribution reverse-time inversion of wide and shallow river in sudden pollution accident |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115330132A (en) * | 2022-07-20 | 2022-11-11 | 中交上海航道局有限公司 | Method for water quality distribution reverse-time inversion of wide and shallow river in sudden pollution accident |
| CN115330132B (en) * | 2022-07-20 | 2023-04-07 | 中交上海航道局有限公司 | Method for water quality distribution reverse-time inversion of wide and shallow river in sudden pollution accident |
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Open date: 20070829 |