Stochastic analysis of multiphase flow in porous media. I: Spectral/perturbation approach. (English) Zbl 0843.76087
Stochastic analysis of steady-state multiphase (water, oil, and air) flow in heterogeneous porous media was performed using the perturbation theory and spectral representation techniques. The gas phase is assumed to have constant pressure. The governing equations describing the flow of oil and water are coupled and nonlinear. The perturbation/spectral analysis was used to develop closed-form expressions that describe stochastic variability of key output processes, such as capillary and individual phase pressures and specific discharges. The analysis also included the derivation of the mean flow equations and estimation of the effective flow properties.
MSC:
| 76T99 | Multiphase and multicomponent flows |
| 76S05 | Flows in porous media; filtration; seepage |
| 76M35 | Stochastic analysis applied to problems in fluid mechanics |
Keywords:
water; oil; air; spectral representation techniques; stochastic variability; output processes; effective flow propertiesReferences:
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