Use of genetic algorithms and gradient based optimization techniques for calcium phosphate precipitation

Montastruc, Ludovic; Azzaro‐Pantel, Catherine; Pibouleau, Luc; Domenech, Serge

doi:10.1016/j.cep.2003.12.002

Cited by 29 publications

(13 citation statements)

References 9 publications

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“…It must be also said that pK sp uncertainty influences the conversion rate of struvite, as demonstrated by Montastruc et al [19]. This is an important point for process design and was calculated in this study.…”

Section: Introductionmentioning

confidence: 93%

“…This method gives a robust initialization to treat this kind of problem for any initial conditions. Let us recall that genetic algorithms were previously successfully used in a related problem for the resolution of a thermochemical equilibrium model involved in calcium phosphate precipitation for initialization purpose of a Gibbs energy minimization problem [19].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Temperature impact assessment on struvite solubility product: A thermodynamic modeling approach

Hanhoun

Montastruc

Azzaro‐Pantel

et al. 2011

Chemical Engineering Journal

103

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Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Temperature impact assessment on struvite solubility product: A thermodynamic modeling approach

Hanhoun

Montastruc

Azzaro‐Pantel

et al. 2011

Chemical Engineering Journal

103

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“…The hybrid strategy can be summarized as follows: [81][82][83][84][85][86][87][88][89][90][91][92][93].…”

Section: Hybrid Approachesmentioning

confidence: 99%

An improved dynamic structure-based neural networks determination approaches to simulation optimization problems

Zheng

Tan

Zhang

et al. 2010

Neural Comput & Applic

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Simulation optimization studies the problem of optimizing simulation-based objectives. This field has a strong history in engineering but often suffers from several difficulties including being time-consuming and NP-hardness. Simulation optimization is a new and hot topic in the field of system simulation and operational research. This paper presents a hybrid approach that combines Evolutionary Algorithms with neural networks (NNs) for solving simulation optimization problems. In this hybrid approach, we use NNs to replace the known simulation model for evaluating subsequent iterative solutions. Further, we apply the dynamic structure-based neural networks to learn and replace the known simulation model. The determination of dynamic structure-based neural networks is the kernel of this paper. The final experimental results demonstrated that the proposed approach can find optimal or close-to-optimal solutions and is superior to other recent algorithms in simulation optimization.

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“…However, the procedure is general and can use several activity coefficient models, including those used in geochemical software. Unlike the work of Montastruc et al (2004), we do not use an empirical optimization method, such as the genetic algorithm. The type of problem we solve, combined with the structure of our algorithm, guarantees that our procedure finds the global minimum of the Gibbs free energy by only using a local optimization algorithm.…”

Section: Introductionmentioning

confidence: 99%

“…For process design, it is also of interest to find the equilibrium conditions of an electrolyte system of known global composition, temperature, and pressure. Recent developments in this subject include the work of Montastruc et al (2004) who studied the precipitation of calcium phosphate at different pH and formulated the problem as the minimization of the Gibbs free energy of the system, which is carried out by a genetic algorithm in the initial iterations, followed by a successive quadratic programming method in the final ones. Cezac (2005) formulated and solved the salt precipitation problem using a set of non-linear equations, which explicitly included the elemental balance and electroneutrality equations, i.e., adopting a non-stoichiometric approach.…”

Section: Introductionmentioning

confidence: 99%

A reliable procedure to predict salt precipitation in pure phases

Beltrão

Cardoso

Castier³

2010

Braz. J. Chem. Eng.

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-This article proposes a new procedure to compute solid-liquid equilibrium in electrolyte systems that may form pure solid phases at a given temperature, pressure, and global composition. The procedure combines three sub-procedures: phase stability test, minimization of the Gibbs free energy with a stoichiometric formulation of the salt-forming reactions to compute phase splitting, and a phase elimination test. After the phase splitting calculation for a system configuration that has a certain number of phases, the phase stability test establishes whether including an additional phase will reduce the Gibbs free energy further. The criteria used for phase stability may lead, in some cases, to the premature inclusion of phases that should be absent from the final solution but, if this happens, the phase elimination sub-procedure removes them. It is possible to use the procedure with several excess Gibbs free energy models for liquid phase behavior. The procedure has proven to be reliable and fast and the results are in good agreement with literature data.

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Use of genetic algorithms and gradient based optimization techniques for calcium phosphate precipitation

Cited by 29 publications

References 9 publications

Temperature impact assessment on struvite solubility product: A thermodynamic modeling approach

Temperature impact assessment on struvite solubility product: A thermodynamic modeling approach

An improved dynamic structure-based neural networks determination approaches to simulation optimization problems

A reliable procedure to predict salt precipitation in pure phases

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