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