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Physical Modeling and Structural Properties of Small-Scale Mine Ventilation Networks

Author

Listed:
  • David-Fernando Novella-Rodriguez

    (Engineering and Technology Department, Universidad de Monterrey UDEM, Av. I. Morones Prieto 4500, San Pedro Garza Garcia 66238, Mexico
    David-F. Novella-Rodriguez thanks to the Secretary of Education, Sciences, Technology and Innovation of Mexico City for the support under the grant SECITI/079/2017.)

  • Emmanuel Witrant

    (GIPSA Lab, Automatic Control Department, Université Grenoble, 38000 Grenoble, France)

  • Christian Commault

    (GIPSA Lab, Automatic Control Department, Université Grenoble, 38000 Grenoble, France)

Abstract

This work is devoted to the modeling and structural analysis of ventilation networks in small-scale mines using a physically oriented modeling method that ensures power conservation. Small-scale mines are common in the mineral extraction industry of underdeveloped countries and their physical characteristics are taken into account in the modeling process. The geometrical topology of the ventilation network in addition with the conservation laws of the fluid distribution along the network are considered in order to obtain a simple modeling methodology. Non-linear characteristics of the interconnected fluid dynamics represent a challenge to determine significant features of the system from a control point of view. Observability and controllability properties are analyzed by considering the structural systems approach. An structural analysis provides information based on the network topology independently of the mine parameters allowing the number of sensors and actuators to be reduced while also preserving the observability and controllability of the ventilation system. Experimental results are provided by building a small-scale ventilation network benchmark to evaluate the proposed model and its properties.

Suggested Citation

  • David-Fernando Novella-Rodriguez & Emmanuel Witrant & Christian Commault, 2022. "Physical Modeling and Structural Properties of Small-Scale Mine Ventilation Networks," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1253-:d:791207
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    References listed on IDEAS

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    2. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
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