Piecewise continuous control of groundwater remediation
First Claim
1. A method for remediating a contaminated groundwater site comprising the steps:
- (a) determining contaminated groundwater site characterization information;
(b) generating a model of said contaminated groundwater site from said characterization information;
(c) designing a remediation system for said model by;
(c1) defining at least one management period; and
(c2) utilizing a control capable of continuously changing and allowing for discontinuity within each management period; and
(d) implementing said remediation system to remediate said contaminated groundwater site.
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Abstract
A piecewise continuous-time dynamic control method and apparatus for optimizing re-mediation of groundwater is disclosed. The piece-wise continuous control process is used to generate efficient designs for remediation systems based on differentiable groundwater models. The remediation strategies generated are characterized by piece-wise continuous functions of time which dictate the operation of remediation devices. The piece-wise continuous functions may change discontinuously at the end of each management period, or, optionally, a finite number of times during each management period. The duration and number of management periods covering a groundwater cleanup may be selected by the user of the invention to maximize the contamination removal efficiency and reflect the mechanical limitations of the specific remediation devices chosen. The continuous-time property of piece-wise continuous control requires simpler (usually sparse) derivatives of a groundwater model than the derivatives required by static and discrete-time control of groundwater remediation.
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Citations
26 Claims
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1. A method for remediating a contaminated groundwater site comprising the steps:
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(a) determining contaminated groundwater site characterization information; (b) generating a model of said contaminated groundwater site from said characterization information; (c) designing a remediation system for said model by; (c1) defining at least one management period; and (c2) utilizing a control capable of continuously changing and allowing for discontinuity within each management period; and (d) implementing said remediation system to remediate said contaminated groundwater site. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A method for remediating a contaminated groundwater site, comprising:
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(a) characterizing the groundwater site and creating a model thereof; (b) applying piece-wise continuous control to said model to obtain a remediation system design; and (c) implementing said remediation system design. - View Dependent Claims (15, 16, 17, 18, 19, 20, 21, 22)
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23. A method for remediating a contaminated groundwater site comprising the step of:
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(a) determining contaminated groundwater site characterization information; (b) generating a model of said contaminated groundwater site from said characterization information; (c) designing a remediation system with controls for said model using a continuous time approach having discontinuities with management periods; and (d) implementing said remediation system to remediate said contaminated groundwater site. - View Dependent Claims (24)
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25. A method of remediating a contaminated groundwater site comprising the steps of:
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(a) determining contaminated groundwater site characterization information; (b) generating a model of said contaminated groundwater site from said characterization information; (c) designing a remediation system for said model by formulating an optimization method with a continuous time accumulation of a design objective, generalized to include a discontinuous control, and an end period design objective, which are functions of the discontinuous control and a state defining the discontinuous control as at least one of a smooth, non-smooth, discrete, continuous, or discontinuous function of time;
defining time as a continuous process allowing said discontinuous control to be discontinuous and non-smooth; and(d) implementing said remediation system to remediate said contaminated groundwater site. - View Dependent Claims (26)
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Specification