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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 735931, 10 pages
Research Article

A Mixed Element Method for the Desorption-Diffusion-Seepage Model of Gas Flow in Deformable Coalbed Methane Reservoirs

School of Mathematics, Shandong University, Jinan 250100, China

Received 5 July 2014; Revised 1 September 2014; Accepted 2 September 2014; Published 28 September 2014

Academic Editor: Kim M. Liew

Copyright © 2014 Lei Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a desorption-diffusion-seepage model for the gas flow problem in deformable coalbed methane reservoirs. Effects of fracture systems deformation on permeability have been considered in the proposed model. A mixed finite element method is introduced to solve the gas flow model, in which the coalbed gas pressure and velocity can be approximated simultaneously. Numerical experiments using the lowest order Raviart-Thomas () mixed element are carried out to describe the dynamic characteristics of gas pressure, velocity, and concentration. Error estimate results indicate that approximation solutions could achieve first-order convergence rates.