Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10862)


In this paper, we firstly study numerical methods for gas flow simulation in dual-continuum porous media. Typical methods for oil flow simulation in dual-continuum porous media cannot be used straightforward to this kind of simulation due to the artificial mass loss caused by the compressibility and the non-robustness caused by the non-linear source term. To avoid these two problems, corrected numerical methods are proposed using mass balance equations and local linearization of the non-linear source term. The improved numerical methods are successful for the computation of gas flow in the double-porosity double-permeability porous media. After this improvement, temporal advancement for each time step includes three fractional steps: (i) advance matrix pressure and fracture pressure using the typical computation; (ii) solve the mass balance equation system for mean pressures; (iii) correct pressures in (i) by mean pressures in (ii). Numerical results show that mass conservation of gas for the whole domain is guaranteed while the numerical computation is robust.


Mass conservation Numerical method Double-porosity double-permeability Fractured porous media Gas flow 



The work presented in this paper has been supported by National Natural Science Foundation of China (NSFC) (No. 51576210, No. 51676208), Science Foundation of China University of Petroleum-Beijing (No. 2462015BJB03), and also supported in part by funding from King Abdullah University of Science and Technology (KAUST) through the grant BAS/1/1351-01-01.


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.National Engineering Laboratory for Pipeline Safety, MOE Key Laboratory of Petroleum Engineering, Beijing Key Laboratory of Urban Oil and Gas Distribution TechnologyChina University of Petroleum (Beijing)BeijingChina
  2. 2.Computational Transport Phenomena Laboratory, Division of Physical Science and EngineeringKing Abdullah University of Science and TechnologyThuwalSaudi Arabia
  3. 3.Department of Thermal Energy and Power Engineering, College of Pipeline and Civil EngineeringChina University of Petroleum (Qingdao)QingdaoChina

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