Work

Conformable advection–diffusion–reaction models for gas migration in coalbed methane reservoirs

Year: 2025

Type: article

Abstract: In the framework of conformable calculus, two-dimensional conformable advection–diffusion–reaction (CADR) model for time-dependent gas migration in coalbed methane reservoir is developed in this work. The proposed CADR model is addressed via the α -order Laplace and Fourier transform methods under different boundary conditions. Furthermore, the numerical inversions of the Laplace solutions derive the coalbed methane concentration profiles of the CADR model. The numerical simulations demonstrate that the CADR model can well depict the anomalous transport processes of coalbed methane migration in coal seams.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100574

Authors: S. Yang, Q. Wei, S.L. Xie

Institutions: Xi'an University of Science and Technology, China University of Mining and Technology - Beijing, University of Potsdam, Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funder: National Natural Science Foundation of China