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| Model of nonlinear seepage flow in low-permeability porous media based on the permeability gradual recovery |
| Received:October 25, 2011 Revised:March 05, 2012 |
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| DOI：10.7511/jslx20126013 |
| KeyWord:Douglas-Jones predictor-corrector finite different method low-permeability porous media nonlinear flow threshold pressure gradient numerical solution |
| Author | Institution |
| 刘文超 |
中国石油大学 华东石油工程学院, 青岛 |
| 姚军 |
中国石油大学 华东石油工程学院, 青岛 |
| 孙致学 |
中国石油大学 华东石油工程学院, 青岛 |
| 黄朝琴 |
中国石油大学 华东石油工程学院, 青岛 |
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| Abstract: |
| According to the theory of gradual recovery of the permeability in low-permeability porous media,the nonlinear kinematic equation was formulated.It can accurately depict the seepage flow behavior in low-permeability porous media.Through experimental data fitting,the validity of the nonlinear kinematic equation was verified.Its nonlinear seepage velocity with respect to the pressure gradient has continuous first-order derivative,which is very convenient for the engineering computation.Then the mathematical model of the single-phase nonlinear radial flow in low-permeability porous media was established.The efficient Douglas-Jones Predictor-Corrector finite difference method was adopted masterly to obtain its numerical solution.Analysis on numerical results shows that the nonlinear flow model can be considered as the intermediate model or the optimal model between Darcy flow and pseudo-linear flow models; there exists moving boundaries in the models of nonlinear flow and pseudo-linear flow; pseudo-linear flow model overestimates the effect of the threshold pressure gradient,which makes the moving boundary moves more slowly than the actual situation; the stronger the nonlinearity,the smaller the area of the formation pressure drop,the sharper the formation pressure gradient,the weaker the sensitivity of the effect on the formation pressure,and the stronger the sensitivity of the effect on the formation pressure gradient. |
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