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The mechanisms of ground surface subsidence above compacting multiphase reservoirs and their analysis by the finite element method
- Source :
- Applied Mathematical Modelling. 4(3):217-224
- Publication Year :
- 1980
- Publisher :
- Elsevier BV, 1980.
-
Abstract
- An analysis of multiphase flow through a compacting porous medium is investigated in this paper. The nonlinear partial differential equations governing the flow regimes are derived and a method of calculating the effective stress gradients is given. This method involves a local averaging technique to model the interaction of two immiscible fluid phases on a small volume of the deforming porous medium. The combined stress and flow problem is then solved using the finite element method where the flow is confined to a submesh of the whole region. A simulation is made of a typical vertical cross-section of the Forties Field.
- Subjects :
- Partial differential equation
Finite volume method
Applied Mathematics
Multiphase flow
Mechanics
Mixed finite element method
Finite element method
Physics::Fluid Dynamics
Flow (mathematics)
Modeling and Simulation
Modelling and Simulation
Geotechnical engineering
Porous medium
Geology
Extended finite element method
Subjects
Details
- ISSN :
- 0307904X
- Volume :
- 4
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Applied Mathematical Modelling
- Accession number :
- edsair.doi.dedup.....91765c9c8202412a5ac410edb7444a61
- Full Text :
- https://doi.org/10.1016/0307-904x(80)90135-3