Modelling and simulation of coal gases in a nano-porous medium: a biologically inspired stochastic simulation
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This paper aims to study the dynamics of the unsteady pressure flow of coal gases caused by the temperature conditions and compressibility in the presence of a nano-porous medium using soft computing technique. To immaculately understand the mechanism, a novelty in the partial differential equation is augmented by considering the fractional-order Caputo derivative, which produces theoretically significant and accurate approximation. Subsequently, the constructed model is experimentally simulated by means of artificial neural network (ANN) and a stochastic process based on a firefly algorithm (FFA). ANN has the ability to approximate and transform the differential equation into an error minimization problem, while FFA efficiently minimizes the error function and optimizes the unknown weights of the constructed network. Furthermore, two error measuring tools; mean absolute error and root mean square error, is also formulated to evaluate the performance index of the designed scheme. Accordingly, the designed scheme is systematically elaborated to assess the pressure sorption of coal gases such as nitrogen (N2) and carbon dioxide (CO2). The accuracy of the obtained approximation shows the competitiveness of the considered scheme. Notably, the deliberation provides substantial indications about the dynamical behaviour of coal gases, which can be implemented significantly on various dynamical problems.
KeywordsCoal gases Unsteady gas equation Artificial neural network Firefly algorithm
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interests.
This article does not contain any studies with animals performed by any of the authors.
Informed consent was obtained from all individual participants included in the study.
- Hassanizadeh SM, Das DB (2005) Upscaling multiphase flow in porous media: from pore to core and beyond. Springer, BerlinGoogle Scholar
- Ho CK, Webb SW (2006) Gas Transport in Porous Media. In: Clifford SWW, Ho K (series ed) Theory and applications of transport in porous media, vol 20. Springer, DordrechtGoogle Scholar
- Muskat M, Wyckoff RD (1946) The flow of homogeneous fluids through porous media. Ann Arbor, Michigan: EdwardsGoogle Scholar
- Parand K, Hemami M (2017) Application of Meshfree method based on compactly supported radial basis function for solving unsteady isothermal gas through a micro-nano porous medium. Iran J Sci Technol Trans A Sci 41(3):677–684. https://doi.org/10.1007/s40995-017-0293-y MathSciNetCrossRefzbMATHGoogle Scholar
- Rad JA, Parand K (2010) Analytical solution of gas flow through a micro-nano porous media by homotopy perturbation method. World Acad Sci Eng Technol 61:546–550Google Scholar
- Yang X-S (2010) Firefly algorithm, stochastic test functions and design optimisation. arXiv preprint arXiv:1003.1409