Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal
Gas diffusivities of coal are not measured directly but are normally regressed by fitting mathematical diffusion models to fractional sorption data measured in sorption experiments. This paper firstly measured three fractional adsorption curves at various equilibrium pressures with the manometric me...
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doaj-1aa46ca0e0b7486fb3c4211f3cf7dc6a2020-11-25T01:15:01ZengMDPI AGProcesses2227-97172019-04-017424110.3390/pr7040241pr7040241Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in CoalJie Zang0Kai Wang1Ang Liu2Beijing Key Laboratory for Precise Mining of Intergrown Energy and Resources, China University of Mining & Technology, Beijing 100083, ChinaBeijing Key Laboratory for Precise Mining of Intergrown Energy and Resources, China University of Mining & Technology, Beijing 100083, ChinaFaculty of Emergency Management & Safety Engineering, China University of Mining & Technology, Beijing 100083, ChinaGas diffusivities of coal are not measured directly but are normally regressed by fitting mathematical diffusion models to fractional sorption data measured in sorption experiments. This paper firstly measured three fractional adsorption curves at various equilibrium pressures with the manometric method. The measured fractional adsorption curves were then modeled with one single-fitting-parameter (SFP) model and three triple-fitting-parameter (TFP) models. The modeling results showed that the TFP models were phenomenologically over-parameterized due to the usage of three fitting parameters, which may be excessive for curve fitting. The phenomenological over-parameterization resulted in multiple pressure-dependences of gas diffusivity for the TFP models. The TFP models should thus be carefully used. On the other hand, the dual-fitting-parameter (DFP) models also have excellent performance in curve fitting and can produce interpretable modeling results. The DFP models can be used as an alternative to the TFP model in the future.https://www.mdpi.com/2227-9717/7/4/241phenomenological over-parameterizationtriple-fitting-parameterscoal diffusivitygas diffusionmodel |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jie Zang Kai Wang Ang Liu |
spellingShingle |
Jie Zang Kai Wang Ang Liu Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal Processes phenomenological over-parameterization triple-fitting-parameters coal diffusivity gas diffusion model |
author_facet |
Jie Zang Kai Wang Ang Liu |
author_sort |
Jie Zang |
title |
Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal |
title_short |
Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal |
title_full |
Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal |
title_fullStr |
Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal |
title_full_unstemmed |
Phenomenological Over-Parameterization of the Triple-Fitting-Parameter Diffusion Models in Evaluation of Gas Diffusion in Coal |
title_sort |
phenomenological over-parameterization of the triple-fitting-parameter diffusion models in evaluation of gas diffusion in coal |
publisher |
MDPI AG |
series |
Processes |
issn |
2227-9717 |
publishDate |
2019-04-01 |
description |
Gas diffusivities of coal are not measured directly but are normally regressed by fitting mathematical diffusion models to fractional sorption data measured in sorption experiments. This paper firstly measured three fractional adsorption curves at various equilibrium pressures with the manometric method. The measured fractional adsorption curves were then modeled with one single-fitting-parameter (SFP) model and three triple-fitting-parameter (TFP) models. The modeling results showed that the TFP models were phenomenologically over-parameterized due to the usage of three fitting parameters, which may be excessive for curve fitting. The phenomenological over-parameterization resulted in multiple pressure-dependences of gas diffusivity for the TFP models. The TFP models should thus be carefully used. On the other hand, the dual-fitting-parameter (DFP) models also have excellent performance in curve fitting and can produce interpretable modeling results. The DFP models can be used as an alternative to the TFP model in the future. |
topic |
phenomenological over-parameterization triple-fitting-parameters coal diffusivity gas diffusion model |
url |
https://www.mdpi.com/2227-9717/7/4/241 |
work_keys_str_mv |
AT jiezang phenomenologicaloverparameterizationofthetriplefittingparameterdiffusionmodelsinevaluationofgasdiffusionincoal AT kaiwang phenomenologicaloverparameterizationofthetriplefittingparameterdiffusionmodelsinevaluationofgasdiffusionincoal AT angliu phenomenologicaloverparameterizationofthetriplefittingparameterdiffusionmodelsinevaluationofgasdiffusionincoal |
_version_ |
1725154851882532864 |